GLENCOE MATHEMATICS Teacher’s Annotated Edition Grade Consultant Tracie A. Harwood Mathematics Teacher Electa Lee Middle School Bradenton, Florida 8 Test-Taking Tips • Go to bed early the night before the test. You will think more clearly after a good night's rest. • Read each problem carefully and think about ways to solve the problem before you try to answer the question. • Relax. Most people get nervous when taking a test. It's natural. Just do your best. • Answer questions you are sure about first. If you do not know the answer to a question, skip it and go back to that question later. • Think positively. Some problems may seem hard to you, but you may be able to figure out what to do if you read each question carefully. • If no figure is provided, draw one. If one is furnished, mark it up to help you solve the problem. • When you have finished each problem, reread it to make sure your answer is reasonable. • Become familiar with a variety of formulas and when they should be used. • Make sure that the number of the question on the answer sheet matches the number of the question on which you are working in your test booklet. Copyright © by The McGraw-Hill Companies, Inc. All rights reserved. Printed in the United States of America. Except as permitted under the United States Copyright Act, no part of this book may be reproduced in any form, electronic or mechanical, including photocopy, recording, or any information storage or retrieval system, without prior written permission of the publisher. Send all inquiries to: The McGraw-Hill Companies 8787 Orion Place Columbus, OH 43240-4027 ISBN: 0-07-860443-5 FCAT Practice and Sample Test Workbook, Grade 8, TAE 1 2 3 4 5 6 7 8 9 10 066 10 09 08 07 06 05 04 03 Contents Overview . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . iv Class Recording Chart . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . v Benchmarks Tested on Grade 8 FCAT Correlated to Glencoe Mathematics: Applications and Concepts, Course 3, and Glencoe Pre-Algebra . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . vii Mathematics Reference Sheet . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . xii Countdown to FCAT Answer Sheet . . . . . . . . . . . . . . . . . . . . . . . . . . . xiii Copyright © Glencoe/McGraw-Hill Test Practice Diagnostic Test . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 Practice by Benchmark Benchmark MA.A.1.3.2 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 16 Benchmark MA.A.1.3.4 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 19 Benchmark MA.A.2.3.1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 22 Benchmark MA.A.3.3.1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 25 Benchmark MA.A.3.3.2 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 28 Benchmark MA.A.3.3.3 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 31 Benchmark MA.A.4.3.1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 34 Benchmark MA.B.1.3.1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 37 Benchmark MA.B.1.3.2 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 40 Benchmark MA.B.1.3.3 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 43 Benchmark MA.B.1.3.4 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 46 Benchmark MA.B.2.3.2 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 49 Benchmark MA.C.1.3.1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 52 Benchmark MA.C.2.3.1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 55 Benchmark MA.C.2.3.2 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 58 Benchmark MA.C.3.3.1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 61 Benchmark MA.C.3.3.2 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 64 Benchmark MA.D.1.3.1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 67 Benchmark MA.D.1.3.2 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 70 Benchmark MA.D.2.3.1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 73 Benchmark MA.D.2.3.2 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 76 Benchmark MA.E.1.3.1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 79 Benchmark MA.E.1.3.2 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 82 Benchmark MA.E.2.3.1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 85 Benchmark MA.E.2.3.2 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 88 Benchmark MA.E.3.3.1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 91 Test Practice Sample Test . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 94 FCAT Test Prep, Grade 8 iii Overview The material in this booklet is designed to help your students prepare for the Florida Comprehensive Assessment Test (FCAT), Grade 8. It contains: • a Class Recording Chart, • a correlation between the benchmarks tested on the Grade 8 FCAT and the lessons in Glencoe Mathematics: Applications and Concepts, Course 3, and Glencoe Pre-Algebra, • a Countdown to FCAT answer sheet, • a Diagnostic Test, • practice for each benchmark, and • a Sample Test. In the Grade 8 FCAT, there are four types of questions: multiple choice, gridded response, short response, and extended response. This is the first time students will be tested with short-response and gridded-response questions. A copy of an Extended Response Assessment Scoring Rubric can be found on page A26 of any Chapter Resource Masters booklet. How to Use This Book Diagnostic Test Administer the Diagnostic Test to your students. Once they have been graded, you may want your students to complete the Student Recording Chart that is found on page v in the Student Workbook. Students should mark an ¥ in the square for each question that they answered incorrectly. Individual Practice You can use each student’s chart to determine where extra practice is needed. Assign each student the appropriate Standards Practice worksheet(s) from pages 16 to 93 in the Student Workbook. Sample Test After the students have completed their practice worksheet(s), administer the Sample Test from pages 94 to 108 in the Student Workbook. Pacing It should take about 2 class periods each to administer the Diagnostic Test and Sample Test. Countdown to FCAT Answer Sheet Throughout the school year, you may assign your students sample FCAT problems from pages FL4–FL24 of the Countdown to FCAT section in the Student Edition of Glencoe Mathematics: Applications and Concepts, Course 3, and Glencoe Pre-Algebra. A Countdown to FCAT answer sheet can be found on page xiii in this booklet. A printable answer sheet is also available at fl.msmath1.net or fl.pre-alg.com. iv FCAT Test Prep, Grade 8 Copyright © Glencoe/McGraw-Hill Class Practice Using the Student Recording Charts, complete the Class Recording Chart that is found on pages v and vi in this booklet. Use the Class Recording Chart to determine which benchmark(s) needs to be practiced by most of the students. Assign the appropriate Standards Practice worksheet(s) from pages 16 to 93 in the Student Workbook to the class. FCAT Test Prep, Grade 8 v MA.B. 1.3.1 Place an ¥ in the appropriate box to indicate that a student needs additional practice with the benchmark. Use the columns to determine which benchmarks need to be practiced by most of the class. Student Name Class Recording Chart Benchmark Number Sense, Concepts, and Operations MA.A. MA.A. MA.A. MA.A. MA.A. MA.A. MA.A. 1.3.2 1.3.4 2.3.1 3.3.1 3.3.2 3.3.3 4.3.1 Copyright © Glencoe/McGraw-Hill Measurement MA.B. MA.B. MA.B. 1.3.2 1.3.3 1.3.4 MA.B. 2.3.2 vi FCAT Test Prep, Grade 8 Copyright © Glencoe/McGraw-Hill Place an ¥ in the appropriate box to indicate that a student needs additional practice with the benchmark. Use the columns to determine which benchmarks need to be practiced by most of the class. Student Name Benchmark Geometry and Spatial Sense Algebraic Thinking Data Analysis and Probability MA.C. MA.C. MA.C. MA.C. MA.C. MA.D. MA.D. MA.D. MA.D. MA.E. MA.E. MA.E. MA.E. MA.E. 1.3.1 2.3.1 2.3.2 3.3.1 3.3.2 1.3.1 1.3.2 2.3.1 2.3.2 1.3.1 1.3.2 2.3.1 2.3.2 3.3.1 Class Recording Chart (continued) Benchmarks Tested on Grade 8 FCAT Correlated to Glencoe Mathematics: Applications and Concepts, Course 3, and Glencoe Pre-Algebra Sunshine State Standards Benchmark Student Edition Lesson(s) STRAND A: NUMBER SENSE, CONCEPTS, AND OPERATIONS MA.A.1.3.1 Associates verbal names, written word names, and In Course 3: standard numerals with integers, fractions, decimals; numbers expressed as percents; numbers with exponents; numbers in scientific notation; radicals; absolute value; and ratios. (Assessed with MA.A.1.3.4.) 1-3, 2-8, 2-9, 4-1, 5-1, 5-2, 5-3 In Glencoe Pre-Algebra: 1-2A, 2-1, 4-2, 4-5B, 4-7, 4-8 MA.A.1.3.2 Understands the relative size of integers, fractions, In Course 3: an decimals; numbers expressed as percents; numbers with exponents; numbers in scientific notation; radicals; absolute value; and ratios. MA.A.1.3.3 Understands concrete and symbolic representations of rational numbers and irrational numbers in real-world situations. (Assessed with MA.A.1.3.4 and MA.D.2.3.1.) MA.A.1.3.4 Understands that numbers can be represented in a variety of equivalent forms, including integers, fractions, decimals, percents, scientific notation, exponents, radicals, and absolute value. MA.A.2.3.1 Understands and uses exponential and scientific Copyright © Glencoe/McGraw-Hill notation. MA.A.3.3.1 Understands and explains the effects of addition, subtraction, multiplication, and division on whole numbers, fractions, including mixed numbers, and decimals, including the inverse relationships of positive and negative numbers. 1-3, 2-2, 2-9, 3-2, 3-3, 4-1, 5-1, 5-2, 9-4, 9-5 In Glencoe Pre-Algebra: 2-1, 4-2, 4-7, 4-8, 5-1, 5-6, 6-1, 6-1B, 6-4, 9-1, 9-2 In Course 3: 2-1, 3-3a, 3-3, 3-5b In Glencoe Pre-Algebra: 4-3, 5-1, 5-2, 5-3, 5-4, 5-6, 5-7, 9-1, 9-2 In Course 3: 1-2, 1-3, 1-4, 1-5, 1-6, 2-1, 2-2, 2-8, 2-9, 3-1, 3-2, 3-4, 3-5, 3-6, 5-1, 5-2, 5-3, 5-4, 5-5, 5-6, 5-7, 5-8, 5-8b, 8-1 In Glencoe Pre-Algebra: 2-1, 2-4, 2-5, 4-2, 4-6, 4-7, 4-8, 5-1, 5-2, 6-1, 6-4, 6-5A, 6-5, 9-1, 9-2 In Course 3: 2-8, 2-9, 12-6 In Glencoe Pre-Algebra: 4-2, 4-7, 4-8, 10-2 In Course 3: 1-2, 1-4, 1-5, 1-6, 2-2, 2-3, 2-4, 2-5, 2-6, 2-8a, 2-8, 5-2, 5-3, 5-5a, 5-5, 5-6, 5-7, 5-8, 5-8b, 10-1 In Glencoe Pre-Algebra: 1-4, 2-2A, 2-2, 2-3, 2-4, 2-5, 3-3, 4-6, 5-3, 5-4, 5-5, 5-7, 13-2, 13-3 FCAT Test Prep, Grade 8 vii Sunshine State Standards Benchmark Student Edition Lesson(s) MA.A.3.3.2 Selects the appropriate operation to solve problems In Course 3: involving addition, subtraction, multiplication, and division of rational numbers, ratios, proportions, and percents, including the appropriate application of the algebraic order of operations. 1-1, 1-3, 1-4, 1-5, 1-6, 1-7, 1-8a, 1-8, 1-9, 2-1, 2-3, 2-4, 2-5, 2-6, 2-7, 2-8a, 4-1, 4-2, 4-2b, 4-3, 4-4, 4-5a, 4-5b, 4-6, 4-7, 5-1, 5-2, 5-3, 5-4, 5-5a, 5-5, 5-6, 5-7, 5-8, 5-8b, 8-5, 8-6 In Glencoe Pre-Algebra: 1-1, 1-2, 1-3, 2-2, 2-3, 2-4, 2-5, 4-2, 5-9, 6-1, 6-2, 6-2B, 6-4, 6-5, 6-7, 6-7B, 6-8, 7-1, 7-2 MA.A.3.3.3 Adds, subtracts, multiplies, and divides whole In Course 3: numbers, decimals, and fractions, including mixed 1-2, 1-8, 2-5, 2-7, 2-8a, 4-1, numbers, to solve real-world problems, using 4-5a, 4-6, 5-5a, 5-5, 5-6, 5-7, appropriate methods of computing, such as mental 5-8b mathematics, paper and pencil, and calculator. In Glencoe Pre-Algebra: 1-1, 2-5, 3-6, 3-7, 7-1, 7-2, 7-3, 7-4, 7-5, 7-6 MA.A.4.3.1 Uses estimation strategies to predict results and to check the reasonableness of results. In Course 3: 1-1, 2-6, 3-2, 3-3, 3-5b, 5-5a, 5-5, 5-6, 8-6 In Glencoe Pre-Algebra: 1-1, 3-5, 5-4, 5-5, 5-7, 6-2B, 6-7, 8-2A MA.A.5.3.1 Uses concepts about numbers, including primes, In Course 3: factors, and multiples, to build number sequences. 11-1, 11-1b (Assessed with MA.D.1.3.1 and MA.D.1.3.2.) In Glencoe Pre-Algebra: 4-1, 4-3, 4-4, 4-5, 5-10 MA.B.1.3.1 Uses concrete and graphic models to derive formulas for finding perimeter, area, surface area, circumference, and volume of two- and threedimensional shapes, including rectangular solids and cylinders. MA.B.1.3.2 Uses concrete and graphic models to derive formulas for finding rates, distance, time, and angle measures. viii FCAT Test Prep, Grade 8 In Course 3: 7-5, 7-6, 7-7, 7-8 In Glencoe Pre-Algebra: 10-5A, 10-5, 10-7, 11-2A, 11-2, 11-3, 11-4, 11-5, 11-6A In Course 3: 3-6, 4-1, 4-2, 4-2b, 4-3, 11-4, 11-5 In Glencoe Pre-Algebra: 3-7, 5-3, 5-4, 8-2A, 8-5, 9-3, 9-4, 10-1, 10-4, 10-6 Copyright © Glencoe/McGraw-Hill STRAND B: MEASUREMENT Sunshine State Standards Benchmark Student Edition Lesson(s) MA.B.1.3.3 Understands and describes how the change of a In Course 3: figure in such dimensions as length, width, height, 7-1, 7-2, 7-5, 7-6, 7-7, 7-8, or radius affects its other measurements such as 7-8b, 11-1 perimeter, area, surface area, and volume. In Glencoe Pre-Algebra: 4-2, 11-2A, 11-2, 11-3, 11-4, 11-6A, 11-6 MA.B.1.3.4 Constructs, interprets, and uses scale drawings such as those based on number lines and maps to solve real-world problems. In Course 3: 4-6 In Glencoe Pre-Algebra: 6-3 MA.B.2.3.1 Uses direct (measured) and indirect (not measured) In Course 3: measures to compare a given characteristic in either 4-5, 4-6, 4-7, 7-8b metric or customary units. (Assessed with In Glencoe Pre-Algebra: MA.A.4.3.1, MA.B.1.3.1, MA.B.1.3.2, and 6-2, 6-3, 9-7 MA.B.1.3.4.) MA.B.2.3.2 Solves problems involving units of measure and converts answers to a larger or smaller unit within either the metric or customary system. MA.B.3.3.1 Solves real-world and mathematical problems involving estimates of measurements including length, time, weight/mass, temperature, money, perimeter, area, and volume, in either customary or metric units. (Assessed with MA.A.4.3.1.) In Course 3: Prerequisite Skills, pp. 604–607 In Glencoe Pre-Algebra: 3-4, 4-5, 5-3, 5-4, 5-5, 6-1 In Course 3: 3-4, 3-5, 3-6, 4-5A, 4-7b, 5-5a In Glencoe Pre-Algebra: 3-4, 5-7 STRAND C: GEOMETRY AND SPATIAL SENSE MA.C.1.3.1 Understands the basic properties of, and Copyright © Glencoe/McGraw-Hill relationships pertaining to, regular and irregular geometric shapes in two- and three-dimensions. In Course 3: 3-4, 3-5, 4-5, 6-1, 6-2, 6-4, 6-5a, 7-1, 7-2, 7-4a, 7-4, 7-5, 7-6, 7-7a In Glencoe Pre-Algebra: 9-7, 10-2, 10-3A, 10-3, 10-4, 10-5A, 10-5, 10-6, 10-6B, 10-7, 10-8, 11-1A, 11-1, 11-2, 11-3, 11-4, 11-5, 11-6A, 11-6 MA.C.2.3.1 Understands the geometric concepts of symmetry, In Course 3: reflections, congruency, similarity, perpendicularity, 4-5, 4-5b, 6-1, 6-5, 6-6, 6-7, parallelism, and transformations, including flips, 6-8, 6-9 slides, turns, and enlargements. In Glencoe Pre-Algebra: 9-7, 10-1, 10-1B, 10-2, 10-3A, 10-3, 10-3B, 11-6 FCAT Test Prep, Grade 8 ix Sunshine State Standards Benchmark MA.C.2.3.2 Predicts and verifies patterns involving tessellations (a covering of a plane with congruent copies of the same pattern with no holes and no overlaps, like floor tiles). MA.C.3.3.1 Represents and applies geometric properties and relationships to solve real-world and mathematical problems. Student Edition Lesson(s) In Course 3: 6-9b In Glencoe Pre-Algebra: 10-6B In Course 3: 3-4, 3-5, 3-6, 4-5, 4-5b, 4-7b, 6-3 In Glencoe Pre-Algebra: 9-4, 9-5A, 9-5, 9-7, 11-6A, 11-6 MA.C.3.3.2 Identifies and plots ordered pairs in all four In Course 3: quadrants of a rectangular coordinate system (graph) and applies simple properties of lines. 4-3, 11-3 In Glencoe Pre-Algebra: 1-6, 2-6, 8-2, 8-3, 8-4, 8-5A, 8-5, 8-6, 8-7, 8-9, 10-1 STRAND D: ALGEBRAIC THINKING relationships, and functions through models, such as manipulatives, tables, graphs, expressions, equations, and inequalities. MA.D.1.3.2 Creates and interprets tables, graphs, equations, and verbal descriptions to explain cause-and-effect relationships. In Course 3: 1-7, 1-8, 1-9, 2-7, 3-4, 3-5, 4-2b, 4-3, 4-4, 10-2, 11-2, 11-3, 11-5a, 11-5, 11-7, 12-1 In Glencoe Pre-Algebra: 1-2A, 1-3, 1-5, 3-3, 3-4, 3-5, 3-6, 3-7B, 8-1A, 8-1, 8-2A, 8-2, 8-2B, 8-4, 8-5, 8-6, 8-7, 8-9, 8-10, 8-10B, 13-5 In Course 3: 1-7, 1-8a, 1-8, 1-9, 2-7, 3-4, 3-5, 4-2, 4-2b, 4-3, 5-3, 5-6, 10-2, 10-3, 10-5, 11-2, 11-3, 11-4, 11-5, 11-8, 12-2 In Glencoe Pre-Algebra: 1-5, 1-6, 3-6, 3-7B, 4-6B, 7-1, 7-2, 7-3, 7-4, 7-5, 7-6, 8-1A, 8-1, 8-2A, 8-2, 8-4, 8-5A, 8-5, 8-6, 8-7, 8-8, 8-9, 8-10, 8-10B, 13-5 MA.D.2.3.1 Represents and solves real-world problems In Course 3: graphically, with algebraic expressions, equations, and inequalities. x FCAT Test Prep, Grade 8 1-2, 1-4, 1-5, 1-6, 1-7, 1-8, 1-9, 2-3, 2-4, 2-5, 2-6, 2-7, 2-8, 3-4, 3-5, 4-3, 5-3, 5-6, 5-7, 5-8, 10-1, 10-2, 10-3, 10-4a, 10-4, 10-5, 10-6, 10-7, 11-3, 11-5, 11-7, 12-3 In Glencoe Pre-Algebra: 1-3, 1-5, 1-6, 2-3, 2-4, 2-6, 3-2, 3-3A, 3-3, 3-4, 3-5, 3-6, 3-7, 3-7B, 4-2, 4-5B, 4-6B, 4-7, 5-3, 7-1, 7-2, 7-3, 7-4, 7-5, 7-6, 8-2A, 8-2, 8-5A, 8-6, 8-9, 8-10, 8-10B, 13-2, 13-3 Copyright © Glencoe/McGraw-Hill MA.D.1.3.1 Describes a wide variety of patterns, Sunshine State Standards Benchmark Student Edition Lesson(s) MA.D.2.3.2 Uses algebraic problem-solving strategies In Course 3: 1-8, 1-9, 2-7, 5-3, 5-6, 10-1, 10-2, 10-3, 10-4, 10-5, 10-6, 10-7, 12-3 In Glencoe Pre-Algebra: 2-4, 3-2, 3-3, 3-4, 3-5, 3-6, 3-7, 4-5, 7-1, 7-2, 7-3, 13-2, 13-3, 13-4 to solve real-world problems involving linear equations and inequalities. STRAND E: DATA ANALYSIS AND PROBABILITY MA.E.1.3.1 Collects, organizes, and displays data in a variety of forms, including tables, line graphs, charts, bar graphs, to determine how different ways of presenting data can lead to different interpretations. In Course 3: 1-3b, 1-8a, 3-3a, 4-2, 9-1a, 9-1, 9-1b, 9-2, 9-3, 9-3b, 9-7, 11-6a, 11-6, 11-6b In Glencoe Pre-Algebra: 1-7A, 1-7, 1-7B, 4-6B, 12-1, 12-3, 12-3B, 12-4, 12-4B, 12-5 MA.E.1.3.2 Understands and applies the concepts of In Course 3: range and central tendency (mean, median, 9-4, 9-4b, 9-5, 9-6 and mode). In Glencoe Pre-Algebra: 2-5, 5-8A, 5-8, 5-8B, 12-2 MA.E.1.3.3 The student analyzes real-world data by In Course 3: applying appropriate formulas for measures 9-1b, 9-4b of central tendency and organizing data in a In Glencoe Pre-Algebra: quality display, using appropriate technology, 5-8B, 12-3B, 12-4B including calculators and computers. (Assessed with MA.E.1.3.1 and MA.E.1.3.2.) MA.E.2.3.1 Compares experimental results with In Course 3: mathematical expectations of probabilities. 8-4b, 8-5, 8-6, 8-6b In Glencoe Pre-Algebra: 6-9B, 12-6, 12-9, 12-9B MA.E.2.3.2 Determines odds for and odds against a Copyright © Glencoe/McGraw-Hill given situation. In Course 3: 8-6b In Glencoe Pre-Algebra: 12-8 MA.E.3.3.1 Formulates hypotheses, designs experiments, In Course 3: collects and interprets data, and evaluates hypotheses by making inferences and drawing conclusions based on statistics (range, mean, median, and mode) and tables, graphs, and charts. 1-3b, 8-6, 8-6b, 11-3a In Glencoe Pre-Algebra: 1-7, 5-8A, 5-8, 6-9A, 12-1, 12-2, 12-3, 12-9B MA.E.3.3.2 Identifies the common uses and misuses of In Course 3: probability or statistical analysis in the 8-7 everyday world. (Assessed with MA.E.3.3.1.) In Glencoe Pre-Algebra: 6-9A, 12-5, 12-5B, 12-9B FCAT Test Prep, Grade 8 xi FCAT Mathematics Reference Sheet Area 1 bh 2 Triangle A Rectangle A w Trapezoid A 12h(b1 b2) Parallelogram A bh KEY b base h height length w width S.A. surface area d diameter r radius A area C circumference V volume Use 3.14 or 272 for . Circumference Circle A r 2 In a polygon, the sum of the measures of the interior angles is equal to 180(n 2), where n represents the number of sides. C d 2r Pythagoean Theorem: c2 a2 b2 c a b Volume Total Surface Area Right Circular Cylinder V r 2h S.A. 2rh 2r 2 Rectangular Solid V wh S.A. 2(w) 2(hw) 2(lh) 1 yard 3 feet 36 inches 1 mile 1,760 yards 5,280 feet 1 acre 43,560 square feet 1 hour 60 minutes 1 minute 60 seconds 1 cup 8 fluid ounces 1 pint 2 cups 1 quart 2 pints 1 gallon 4 quarts 1 liter 1000 milliliters 1 meter 100 centimeters 1000 millimeters 1 kilometer 1000 meters 1 gram 1000 milligrams 1 kilogram 1000 grams 1 pound 16 ounces 1 ton 2,000 pounds Metric numbers with four digits are presented without a comma (e.g., 9960 kilometers). For metric numbers greater than four digits, a space is used instead of a comma (e.g., 12 500 liters). xii FCAT Test Prep, Grade 8 Copyright © Glencoe/McGraw-Hill Conversions Name Date Week ____ Extended Response ____________________________________________________________ ____________________________________________________________ ________________________________________________________________ ________________________________________________________________ ________________________________________________________________ ________________________________________________________________ ________________________________________________________________ Multiple Choice A B C D Gridded Response F G H I Gridded Response 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 Short Response Copyright © Glencoe/McGraw-Hill Multiple Choice ______________________________ ______________________________ ______________________________ ______________________________ ______________________________ 0 1 2 3 4 5 6 7 8 9 Multiple Choice 0 1 2 3 4 5 6 7 8 9 A 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 B 0 1 2 3 4 5 6 7 8 9 C D Gridded Response 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 FCAT Test Prep, Grade 8 xiii Name Date Test Practice Diagnostic Test Copyright © Glencoe/McGraw-Hill Read each question and choose the best answer. Then write the letter for the answer you have chosen in the blank at the right of each question. 1 Seventy-five percent of the student body at Terrace Middle School thinks that the Terrace Tornadoes are going to win the football tournament against the Balcony Bluejays. Hidalgo uses this information to write a sports column in the Terrace School News saying that the odds in favor of the Tornadoes’ winning are 3 to 1. Why is Hidalgo’s statement not statistically sound? MA.E.3.3.1 A Hidalgo does not really know all the students who attend Terrace. B The sample group is not an authority on the capabilities of the two teams. C The odds for a 75% probability are not calculated correctly. D Hidalgo over-interpreted the numerical data. 1 2 2 Dr. John Gorrie, of Apalachicola, Florida, is credited with inventing the world’s first refrigeration device. Although he did not live to see the effects of his remarkable invention, he is honored today. There is a 6-mile bridge and causeway across the Apalachicola Bay Estaurine that is named in honor of Dr. Gorrie. What is the length of this structure in yards? MA.B.2.3.2 3 Use the Venn diagram to determine how many students enjoy both swimming and shell-collecting. MA.E.1.3.1 F 30 G 96 H 131 I 147 Students’ Favorite Beach Activities B 1 0560 0 1 2 3 4 5 6 7 8 9 3 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 F Swimming 24 Volleyball 87 42 11 19 16 Shell Collecting 35 Go on FCAT Test Prep, Grade 8 1 Name Date Test Practice Diagnostic Test (continued) Read each question and choose the best answer. Then write the letter for the answer you have chosen in the blank at the right of each question. 4 Hilda rewrites the number 0.0874 using scientific notation. What is the absolute value of the exponent for 10? MA.A.1.3.4 4 2 0 1 2 3 4 5 6 7 8 9 5 Lisa has rotated triangle HKL clockwise 180 degrees about point H. Which are the coordinates of the preimage of Kº? MA.C.3.3.1 A (1, 5) B (3, –1) C (–7, 5) D (–7, –1) K y H 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 5 D 6 G 7 C 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 L O x 6 Which tessellation demonstrates a series of reflections? F G H I 7 A hotel charges $164, $189, $219, $269, and $309 per night for different types of rooms. Which is the mean price per room? MA.E.1.3.2 A $149 B $219 C $230 D $269 Go on 2 FCAT Test Prep, Grade 8 Copyright © Glencoe/McGraw-Hill MA.C.2.3.2 Name Date Test Practice Diagnostic Test (continued) Read each question and choose the best answer. Then write the letter for the answer you have chosen in the blank at the right of each question. 8 A water machine dispenses 8 ounces of water in 15 seconds. If this machine were to run continuously for an hour, how many ounces of water would it dispense? Explain how you find your answer. MA.B.1.3.2 There are 3,600 seconds in an hour (60 minutes ≈ 60 seconds). I divided 3,600 seconds by 15 seconds and found that there are 240 occurrences of 15-second intervals in an hour. The machine will dispense 8 ounces of water 240 times in one hour, or 1,920 ounces of water. 9 Charles decides to see how many days it will take for him to walk the length of a certain beach. He begins at one end of the beach, walks 3.5 miles, marks the spot where he leaves off and comes back the next day to walk 3.5 more miles from this spot to the next one. He continues in this fashion for a total of 5 days and then on the sixth day, he walks 2 miles and reaches the end of the beach. How many miles long is this beach? MA.D.2.3.2 10 Sample X has a mass of 4.5 ≈ 10–3 grams, and sample Y has a mass of 2.8 ≈ 10–2 grams. What is the combined mass of these two samples? 9 19.5 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 10 H 11 A 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 Copyright © Glencoe/McGraw-Hill MA.A.2.3.1 F 7.3 ≈ 10–1 grams H 3.25 ≈ 10–2 grams 11 The bar graph shows the land area in square miles for four Florida counties. How does the land area of Orange County relate to the land area of Baker County? MA.A.1.3.2 A It is about 1.5 times bigger. C It is about 2.5 times bigger. G 4.78 ≈ 10–3 grams I 2.35 ≈ 10–2 grams Land Area by County Baker Brevard Dixie Orange 585 1,018 704 0 200 907 400 600 800 1,000 1,200 Area (square miles) B It is twice as big. D It is three times as big. Go on FCAT Test Prep, Grade 8 3 Name Date Test Practice Diagnostic Test (continued) Read each question carefully and write your answer in the space provided. Be sure to show all your work. 12 In a study group, a nutritionist places 28 placebos, 125 B vitamins, and 71 C vitamins in a container and shakes them so they are all mixed up. What is the probability that the first item the nutritionist hands to a study group member from this container is a placebo? Write as a decimal. MA.E.2.3.1 13 12 0 . 1 25 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 A sample of “favorable” sand is composed of different percents of the types of grains shown. MA.E.2.3.1 A researcher takes a sample of sand from a Florida beach, and reports that it contains 5% very fine, 18% fine, 49% medium, 20% coarse, and 8% very coarse granules. Is this sample likely to be coarser or finer than the “favorable” sample? Use statistical comparisons to defend your answer. The Florida sample is likely to be slightly coarser than the favorable sample because both very fine and fine percents are lower, while medium and coarse percents are higher. Also, the favorable sample has 32% very fine or fine granules and 23% coarse or very coarse granules. The Florida sample has a lower 23% very fine or fine granules and a higher 28% coarse or very coarse granules. 4 FCAT Test Prep, Grade 8 Copyright © Glencoe/McGraw-Hill Composition of Favorable Sand Sample Grain size Percent of Grain Grain Type (mm) in Favorable Sample Very Fine 0.05 9 Fine 0.10 23 Medium 0.25 45 Coarse 0.50 14 Very Coarse 1.00 9 Go on Name Date Test Practice Diagnostic Test (continued) Read each question carefully and write your answer in the space provided. Be sure to show all your work. 14 This year, Kapon plans to do his science project on the solar system. He charts the planets with diameters that are calculated to scale. MA.E.1.3.1 Mercury Venus Diameter (centimeters) 1.74 4.34 Earth Mars Jupiter Saturn Uranus 4.57 2.42 50.11 41.82 16.86 Neptune Pluto 16.32 0.81 Planet Part B Construct the type of graph that you choose using the data in the table above. Diameter (cm) Diameters of Planet Models 60 50.11 50 41.82 40 30 16.86 16.32 20 10 1.74 4.34 4.57 2.42 0.81 0 M er cu ry Ve nu s Ea rt h M ar Ju s pi te r Sa tu rn U ra nu N ep s tu ne Pl ut o Copyright © Glencoe/McGraw-Hill Part A He wants to construct a graph to display the sizes of the planets. Should he use a line graph, a circle graph, or a bar graph? Support your answer by explaining how each type of graph would or would not be appropriate. Sample answer: A bar graph would be most appropriate because it would best display the sizes of the planets at a glance. A line graph is not appropriate because the sizes of the planets do not change from one planet from the next; they are separate quantities. A circle graph is not appropriate because the sizes of the planets are not percents of a whole. Planets Go on FCAT Test Prep, Grade 8 5 Name Date Test Practice Diagnostic Test (continued) Read each question carefully and write your answer in the space provided. Be sure to show all your work. For the equation 3y = 7.4x +1.5, what is the value of y when x = 3? MA.D.1.3.2 15 7 .9 0 1 2 3 4 5 6 7 8 9 16 According to the diagram of Orville’s Orange Grove, the bar represents 1.5 meters, and there are exactly one and a half bars between each tree. How many meters apart does Orville plant his orange trees? MA.B.1.3.4 1.5 m 17 16 What is the resulting value after the first three operations are performed in the correct order in this expression? MA.A.3.3.2 47 –18 ÷ 3 ≈ 5 + 61 17 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 1 7 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 Go on 6 FCAT Test Prep, Grade 8 0 1 2 3 4 5 6 7 8 9 2 . 25 0 1 2 3 4 5 6 7 8 9 ? 0 1 2 3 4 5 6 7 8 9 Copyright © Glencoe/McGraw-Hill 15 Name Date Test Practice Diagnostic Test (continued) Read each question and choose the best answer. Then write the letter for the answer you have chosen in the blank at the right of each question. 18 A roller coaster turnstile records 72 passengers about every 10 minutes. The diagram of the waiting area for this ride is shown below, along with the number of people who can fit in a length of space. The operator of the roller coaster decides to post a sign at the spot indicated. ESTIMATE the number of minutes he should put on the sign. MA.A.4.3.1 Boarding Position Sign 47 people From this point you will wait ? minutes to board this ride Copyright © Glencoe/McGraw-Hill Round the number of people who fit in the aisle to 50, and estimate that there are about 7.5 to 8 lengths from the boarding position to the sign. Multiply 50 ≈ 8 to get about 400 people in line from the boarding point to the sign. Round 72 to 80 to estimate that every 10 minutes, 80 people ride the roller coaster. Divide 400 ÷ 80 to get 5 groups of 80 people that move every 10 minutes. Multiply 5 ≈ 10 to get an estimated waiting time of 50 minutes from the sign to the boarding area. 19 If Marci continues this design using repeated reflections of this shape, will her design be a tessellation? MA.C.2.3.2 F yes, because it is a repeating pattern of the same shape G yes, because it will have 3 angles at every vertex H no, because it will not cover a plane I no, because she is using only reflections to create the design 19 H 20 Who can use the equation y = 9x + 5? MA.D.2.3.1 A A runner who has a head start of 5 minutes and runs 9 laps. B A runner who starts with 5 laps and then runs 9 laps. C A person who starts with a collection of 5 stamps and then adds 9 stamps to his collection each week. D A person who starts with a collection of 5 stamps and then adds different numbers of stamps to his collection for 9 weeks. 20 C Go on FCAT Test Prep, Grade 8 7 Name Date Test Practice Diagnostic Test (continued) Read each question and choose the best answer. Then write the letter for the answer you have chosen in the blank at the right of each question. 21 Darius is drawing trapezoid EFGH so that it is a dilation of trapezoid ABCD. How many units long should EF be? B 21 C F G MA.C.2.3.1 2 .5 0 1 2 3 4 5 6 7 8 9 H D A 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 22 The St. Johns River is the longest river in Florida, at 273 miles. Ida draws a scale model of this river that is 26 centimeters in length. Which scale does she use? MA.B.1.3.4 F 2 centimeters = 6 miles G 0.5 centimeter = 8 miles H 1 centimeter = 10.5 miles I 3 centimeters = 14 miles 22 H 23 In what order should the operations be used to find 3 + 9 – 8 ÷ 2 ≈ 6? 23 B 24 What number will be with the item ABCDEFG? MA.D.1.3.1 A-2, AB-5, ABC-8, ABCD-11, … F 14 G 20 H 22 I 24 24 G 25 What is the median time? MA.E.1.3.2 Time (minutes): 23, 45, 11, 25, 56, 37, 16, 7, 39, 78, 23, 84, 9, and 42 A 25 minutes B 29 minutes C 31 minutes D 35 minutes 25 C 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 MA.A.3.3.2 8 FCAT Test Prep, Grade 8 B ÷, ≈, +, – D ÷,≈, –, + Go on Copyright © Glencoe/McGraw-Hill A +, –, ÷, ≈ C ≈, ÷, +, – Name Date Test Practice Diagnostic Test (continued) Read each question and choose the best answer. Then write the letter for the answer you have chosen in the blank at the right of each question. 26 26 What is the value of the expression? MA.A.2.3.1 (9.34 ≈ 10–2) ÷ (2 ≈ 10–1) 0 . 467 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 27 F 28 Specialty Candy Store in Cinco Bayou sells chocolate mints for 58 cents per ounce. How much would 5! pounds of these mints cost? MA.A.3.3.3 A $3.19 B $9.28 C $51.04 D $69.60 28 C 29 Which equation yields the values 3.2, 10.2, and 17.2 for y when x has values 1, 2, and 3? MA.D.1.3.2 F y = 7x – 3.8 G y = 3x + 3.2 H y = 4x – 4.8 I y = 6x – 8.8 29 F 27 Which figure shows AB ‹CD and EF § AC? MA.C.3.3.1 E F G A C 104 E D A 14 B I 128 A F B D H E 0 1 2 3 4 5 6 7 8 9 C 76 F 0 1 2 3 4 5 6 7 8 9 C B D E D Copyright © Glencoe/McGraw-Hill C 52 F A F B Go on FCAT Test Prep, Grade 8 9 Name Date Test Practice Diagnostic Test (continued) Read each question and choose the best answer. Then write the letter for the answer you have chosen in the blank at the right of each question. A seafood restaurant serves food on flat circular plates. The dinner plate has a diameter of 42 centimeters, and the dessert plate has a diameter Dinner Plate Dessert Plate of 21 centimeters. The area on which food can be served increases by how many times from the dessert plate to the dinner plate? MA.B.1.3.3 31 30 0 1 2 3 4 5 6 7 8 9 Dollars Graham suspects that Day Cafeteria Vending students spend more Monday $72.00 $52.50 money on vending Tuesday $68.25 $81.50 machines than in the Wednesday $42.30 $63.20 school cafeteria. The Thursday $41.75 $61.55 lunchroom staff gives Friday $71.25 $56.20 him the total amount spent in the cafeteria and on vending machines each day for a week. Graham then graphs the results. Why is his graph misleading? MA.E.3.3.1 400 300 200 100 0 4 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 Money Spent cafeteria vending machines Mon. Tues. Wed. Day Thur. Fri. The graph is misleading because he uses a scale that is too large to show the difference between the amounts. On Monday, the students spend $19.50 more in the cafeteria, but it does not appear to be much of a difference on the graph. 32 Jocasta must work at least 15 hours a week but no more than 35 hours a week. Which graph shows the hours Jocasta can work? MA.D.2.3.1 A 32 A 15 17 19 21 23 25 27 29 31 33 35 B C D 10 0 1 2 3 4 5 6 7 8 9 15 17 19 21 23 25 27 29 31 33 35 15 17 19 21 23 25 27 29 31 33 35 15 17 19 21 23 25 27 29 31 33 35 FCAT Test Prep, Grade 8 Go on Copyright © Glencoe/McGraw-Hill 30 Name Date Test Practice Diagnostic Test (continued) Read each question and choose the best answer. Then write the letter for the answer you have chosen in the blank at the right of each question. H 33 33 Which of the following is a true statement? MA.A.1.3.2 F 12.9 is 3 times the value of 6.3. G 53 > 44 H 30% of 54 is 16.2 34 I +>; Sean is going to insert parallelogram ABCD in the space indicated to make a perfect fit. What must ·ABC measure in degrees? MA.C.1.3.1 34 0 1 2 3 4 5 6 7 8 9 C D B A Copyright © Glencoe/McGraw-Hill 1 1 7 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 35 The inequality 5x –15 > 60 models the profit x that a department store expects to make on an item. Which dollar amount is a solution of this inequality? MA.D.2.3.2 A $5.81 B $12.60 C $14.39 D $15.01 35 D 36 Which line has the greatest slope? MA.C.3.3.2 F G 36 I H 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 I Go on FCAT Test Prep, Grade 8 11 Name Date Test Practice Diagnostic Test (continued) Read each question and choose the best answer. Then write the letter for the answer you have chosen in the blank at the right of each question. 37 This function table satisfies which equation? MA.D.1.3.1 x y 2 2 6 3 10 4 A 39 I 40 A 14 5 A 4y = x + 6 C 3y = x – 6 38 37 B y=x D 2y = x – 4 On the grid below, plot quadrilateral PQRS with coordinates P(–8, 2), Q(–6, 3), R(–3, 1), and S(–2,–2).MA.C.2.3.1 Q y Q P R P R x O S S Part B Explain how you can transform PQRS three times to produce the image PºQºRºSº. Sample answer: First, reflect PQRS over the y-axis. Second, translate PQRS up 1 unit. Finally translate PQRS to the right 2 units. 39 Which type of number is the additive inverse of –18? MA.A.3.3.1 F a negative integer G a rational number H a negative fraction I a positive integer 40 Which expression can be used to find the amount of money Tad has in his piggy bank if it contains a 10-dollar bill and x quarters? MA.D.1.3.2 A 0.25x + 10 B 25 + 0.10x C x(10 + 25) D 10 + 25x 12 FCAT Test Prep, Grade 8 Go on Copyright © Glencoe/McGraw-Hill Part A Name all pairs of parallel and perpendicular segments in PQRS. SP ‹ QR. Name Date Test Practice Diagnostic Test (continued) Read each question and choose the best answer. Then write the letter for the answer you have chosen in the blank at the right of each question. 15 41 If DG = x + 7 and EG = 14, is quadrilateral E DEFG a parallelogram? MA.C.1.3.1 7 9 F yes, because both pairs of opposite D sides are congruent G yes, because the diagonals bisect each other H no, because both pairs of opposite angles are not congruent I no, because EF and DG are not shown to be parallel 42 F 9 G The line graph shows the average number of catfish dinners sold per week at a seafood restaurant. MA.E.1.3.2 Average Number of Catfish Dinners Sold 42 64 63 70 62 0 1 2 3 4 5 6 7 8 9 52 60 50 57 55 45 41 30 20 10 0 23 Catfish Dinners 80 40 G 41 1 2 3 4 5 Week 6 7 8 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 What is the range of the data set? Copyright © Glencoe/McGraw-Hill 43 A square swimming pool is 4 feet deep and has a capacity of 576 cubic feet. What is the perimeter of the top of the pool in feet? MA.B.1.3.1 43 48 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 Go on FCAT Test Prep, Grade 8 13 Name Date Test Practice Diagnostic Test (continued) Read each question and choose the best answer. Then write the letter for the answer you have chosen in the blank at the right of each question. 44 One side of the Bermuda triangle is represented by the distance from Miami, Florida to San Juan, Puerto Rico, approximately 1038 miles. If the perimeter of the Bermuda triangle were reduced by a scale factor of 0, what would happen to this distance? MA.B.1.3.3 D 44 A It would be reduced by a scale factor of 1. B It would be reduced by a scale factor of !. C It would be reduced by a scale factor of *. D It would be reduced by a scale factor of 0. ABCDEF is a regular hexagon. If a line were drawn to connect points F and D, what would ·EFD measure in degrees? MA.B.1.3.2 A 45 B F 0 1 2 3 4 5 6 7 8 9 C E 30 D 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 46 Mr. Younce has 1.5 gallons of lemonade that he wants to divide evenly among 24 guests at his daughter’s birthday party. How many ounces should he give to each guest? MA.B.2.3.2 F 6 G 8 H 10 I 12 46 G 47 A ball is thrown from a height of 5! feet, ascends almost up to 12 feet and then is caught again at a height of 5! feet. Which inequality models the height of the ball, h, throughout this sequence? MA.D.2.3.1 47 D 14 A h > 12 – 5! B 5! < h ≤ 12 C 5!≤ h ≤ 12 D 5! ≤ h < 12 FCAT Test Prep, Grade 8 0 1 2 3 4 5 6 7 8 9 Go on 0 1 2 3 4 5 6 7 8 9 Copyright © Glencoe/McGraw-Hill 45 Name Date Test Practice Diagnostic Test (continued) Read each question and choose the best answer. Then write the letter for the answer you have chosen in the blank at the right of each question. 48 A table is constructed by attaching a tall cylinder with a small radius to a short cylinder with a large radius. MA.B.1.3.1 a b x y Part A Write an expression to determine the volume of the entire table. πx2y + πa2b or π(x2y + a2b) Copyright © Glencoe/McGraw-Hill Part B Use your expression to find the volume of the table if the tall cylinder measures 54 inches in height with a 6-inch radius and the short cylinder measures 3 inches in height with a 21-inch radius. π ≈ (62 ≈ 54 + 212 ≈ 3) = π ≈ (1944 + 1323) = 3267π, or ﬁ 10,264 cubic inches 49 There are 320 eighth graders sitting in the auditorium during Eighth Grade Day. The day before, the student council had placed 36 yellow stickers randomly on the bottoms of 320 chairs in the auditorium. The principal announces that students should look under their chairs, and those who find a yellow sticker will win a prize. If Elizabeth is sitting in the auditorium that day, what are the odds in favor of her winning a prize? MA.E.2.3.2 F 1 to 36 G 2 to 5 H 3 to 320 I 9 to 71 49 I 50 Where can Octavian plot G so that HG has a slope of –+? MA.C.3.3.2 50 B A B C D (–1, –2) (0, –1) (–5, 4) (–7, 5) y H(3, 1) O x Go on FCAT Test Prep, Grade 8 15 Name Date Standards Practice Benchmark MA.A.1.3.2 The student understands the relative size of integers, fractions, and decimals; numbers expressed as percents; numbers with exponents; numbers in scientific notation; radicals; absolute value; and ratios. Read each question and choose the best answer. Then write the letter for the answer you have chosen in the blank at the right of each question. 1 D 2 At Hernando’s fruit stand, you can choose among grapefruits, mangos, oranges, and clementines, priced per pound at $0.59, $0.79, $0.48, and $1.02, respectively. Which shows these prices in order from least to greatest? F $0.59, $0.79, $0.48, $1.02 G $0.48, $0.59, $0.79, $1.02 H $1.02, $0.79, $0.48, $0.59 I $1.02, $0.48, $0.79, $0.59 2 G 3 Which is greater than 1,000? A 2.30 ≈ 10–4 B 1.19 ≈ 10–5 C 1.01 ≈ 103 D 6.59 ≈ 102 3 C 1 The following table lists the melting points in degrees Celsius for four elements. Which shows these melting points in order from greatest to least? Melting Points of Elements Element Melting Point (C) Iridium 2410 Hafnium 2150 Osmium 3045 Platinum 1772 Copyright © Glencoe/McGraw-Hill A B C D 3045, 2150, 2410, 1772 1772, 2150, 2410, 3045 1772, 3045, 2150, 2410 3045, 2410, 2150, 1772 FCAT Test Prep, Grade 8 17 Name Date Standards Practice Benchmark MA.A.1.3.2 (continued) Read each question and choose the best answer. Then write the letter for the answer you have chosen in the blank at the right of each question. 4 Jean sent her son to the grocery store to buy cold cuts. She asked him to get * pound of turkey, 0 pound of ham, ! pound of roast beef and 2 pound of cheese. Which of these items weighs the least? F turkey G ham H roast beef I cheese 4 G 5 Which number has the greatest value? 5 A 6 I 7 A 8 Sherisse has $15,000 in a savings account. She wants to invest 25% of this money in real estate. How much money is she going to have left in her savings account after she makes her investment? F $3,750 G $7,500 H $11,250 I $13,500 8 H 9 Which figure has the greatest percentage of shaded area? A B 9 B C 21 ‡‘Â B √64 A 52 D 78% 6 Which number line is correct? 95 65 F 7 H 95 7 0 5 10 10 65 95 65 7 I 5 0 5 10 95 65 7 0 5 10 7 Which is a number 50 times the absolute value of 7? A 350 B Í507 Î C Í507 Í C 18 FCAT Test Prep, Grade 8 D D 750 Copyright © Glencoe/McGraw-Hill G 0 Name Date Standards Practice Benchmark MA.A.1.3.2 (continued) Copyright © Glencoe/McGraw-Hill Read each question and choose the best answer. Then write the letter for the answer you have chosen in the blank at the right of each question. 10 On one particular day in Tallahassee, the odds are 2:4 that it will be hot and sunny, 6:9 that it will thunderstorm, 5:8 that it will be partly cloudy, and 1:6 that it will hail. Which weather condition is the most likely to happen? F hot and sunny G thunderstorm H partly cloudy I hail 10 G 11 The United States Census Bureau estimates the population of Lake County in 2001 to be 227,600 and the population of Franklin County in 2001 to be about 11,200. How does the population of Lake County compare to the population of Franklin County? A The population of Lake County is about ·÷ÈÈ times the population of Franklin County. B The population of Lake County is about ·ÃÈ times the population of Franklin County. C The population of Lake County is about 200 times the population of Franklin County. D The population of Lake County is about 20 times the population of Franklin County. 11 D 12 The number 600 is how many orders of magnitude higher than 6? F 2 G 4 H 6 I 8 12 F 13 Which polygons are in order from greatest to least number of sides? A 13 A B C D FCAT Test Prep, Grade 8 19 Name Date Standards Practice Benchmark MA.A.1.3.4 The student understands that numbers can be represented in a variety of equivalent forms, including integers, fractions, decimals, percents, scientific notation, exponents, radicals, and absolute value. Read each question and choose the best answer. Then write the letter for the answer you have chosen in the blank at the right of each question. 1 In 2000, about 22.8% of Florida’s population was under the age of 18. How might this portion of the state population appear on a circle graph? A Florida Population by Age B Florida Population by Age 1 A 2 G under 18 under 18 Florida Population by Age under 18 D Florida Population by Age under 18 2 Florida lawmakers adopted the moonstone as the official state gem in 1970. Ms. Worthington has a rare collection of moonstones that she says is worth 3.25 ≈ 105 dollars. If her accountant were to enter this amount in her records, what would it look like? F $32,500 G $325,000 H $3,250,000 I $32,500,000 3 Elaina computes the length of her garden plot to be √64 meters. How can you express this number as an integer? 3 8 0 1 2 3 4 5 6 7 8 9 20 FCAT Test Prep, Grade 8 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 Copyright © Glencoe/McGraw-Hill C Name Date Standards Practice Benchmark MA.A.1.3.4 (continued) Read each question and choose the best answer. Then write the letter for the answer you have chosen in the blank at the right of each question. 4 In 2001, Florida’s state forests covered more than 890,000 acres of land. How would you write the number 890,000 in words? A eight hundred ninety thousand B eighty-nine hundred thousand C eight hundred-thousand ninety thousand D eight and ninety hundred thousand 4 5 5 A forensic chemist is examining a substance that was taken from a crime scene. The mass of the substance is 3.4 ≈ 10–2 grams. What is the decimal equivalent of this number? A 0 . 034 Copyright © Glencoe/McGraw-Hill 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 6 Alexis is in charge of making sure the fish tank at the aquarium is maintained with two thousand one hundred eighty-seven gallons of water. What is another way to express this number? F 37 G 84 H 8725 I 5044 6 F 7 7 2/3 In simplest form, what fraction of the square is shaded? 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 FCAT Test Prep, Grade 8 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 21 Name Date Standards Practice Benchmark MA.A.1.3.4 (continued) Read each question and choose the best answer. Then write the letter for the answer you have chosen in the blank at the right of each question. For a science project, Tyrone is mixing a solution that is 6 parts sugar to 25 parts water. How would you express this ratio as a decimal? 8 0 . 24 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 9 C 10 About 2 million pounds of shrimp are harvested annually from Amelia Island. Which is NOT another way to express the number 2 million? F 2,000,000 G 2.0 ≈ 106 H 2,000,000,000 I 100 ≈ 20,000 10 H 11 Mr. Sanders is an engineer and sometimes has to calculate distances. On one occasion, he finds the distance between two points to be Í–478 Îfeet. What is another way to write this number? A –478 B 4.78 ≈ 102 C 400 ≈ 78 D 478% 11 B 12 Which is a hexagon shaded the same percent as the triangle is shaded? F 12 H 9 Mark has driven 65 miles of a 104-mile trip to visit some friends in Sarasota. Which is equivalent to ‡—È„– ? A 8# B 65% H 22 FCAT Test Prep, Grade 8 C 0.625 G I 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 D 1.6 Copyright © Glencoe/McGraw-Hill 8 Name Date Standards Practice Benchmark MA.A.2.3.1 The student understands and uses exponential and scientific notation. Read each question and choose the best answer. Then write the letter for the answer you have chosen in the blank at the right of each question. 1 Find A 12 58 . 54 B 14 C 52 D 2 F D 54 2 Reality shows have exploded in popularity in recent years. One network introduced two shows during its “Reality Premiere Week.” Polls indicate that the first show had 2.8 ≈ 106 viewers and the second show had 1.9 ≈ 107 viewers. Assume that about 870,000 people who watched the first show also watched the second show. Without counting anyone twice, approximately how many people watched the shows that week? G 2.18 ≈ 107 H 4.7 ≈ 107 I 5.32 ≈ 107 F 2.09 ≈ 107 Simplify 85 + 38. 3 1 3 393 2 9 Copyright © Glencoe/McGraw-Hill 0 1 2 3 4 5 6 7 8 9 4 In 2000, the population of Florida was about 1.6 ≈ 107, and there were approximately 7.3 ≈ 106 housing units in the state. If the population were evenly distributed among the housing units, about how many persons would live in each unit? A B C Key: 1 person 4 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 A 1 housing unit D FCAT Test Prep, Grade 8 23 Name Date Standards Practice Benchmark MA.A.2.3.1 (continued) Read each question and choose the best answer. Then write the letter for the answer you have chosen in the blank at the right of each question. An entomologist excavates an ant mound and finds 2.29 ≈ 104 workers and 1.3 ≈ 103 queens. How many total ants does she find in the mound? 2.29 104 worker ants 5 24200 1.3 103 queen ants 0 1 2 3 4 5 6 7 8 9 6 There are an estimated 1022 stars in the visible universe. Scientists classify stars by color according to their approximate surface temperatures. Yellow-white stars, for example, have a surface temperature of about 11,000°F. About how many yellow-white stars would there be if 8 of all visible stars were in the 11,000°F temperature range? F 2 ≈ 1021 G 522 H 25 ≈ 1021 I 5022 6 7 7 What is the exponent of z after you simplify the expression? (x 6y 5z 8 ) 3 24 FCAT Test Prep, Grade 8 8 D 58.8 ≈ 10–14 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 F 24 0 1 2 3 4 5 6 7 8 9 8 Find (8.4 ≈ 10–5) ª (7.0 ≈ 109). A 5.88 ≈ 104 B 58.8 ≈ 10–45 C 5.88 ≈ 105 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 C Copyright © Glencoe/McGraw-Hill 5 Name Date Standards Practice Benchmark MA.A.2.3.1 (continued) Read each question and choose the best answer. Then write the letter for the answer you have chosen in the blank at the right of each question. 9 The mass of the moon is 1.228 ≈ 10–2 times the mass of Earth. Which uses three significant digits to represent the mass of the moon in scientific notation? G 7.347124 ≈ 1022 kilograms F 7.0 ≈ 1022 kilograms 22 H 7.347 ≈ 10 kilograms I 7.35 ≈ 1022 kilograms 10 The lengths of two specimens are shown under magnification. How many millimeters longer is Specimen A than Specimen B? 2.8 101 mm Specimen A 10 0 . 1 95 0 1 2 3 4 5 6 7 8 9 8.5 102 mm Specimen B 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 11 B 12 There are roughly 320,000 words in the English language. If Ryan knows about 12,000 English words, how can he figure out what part of the total number of words he knows? F Divide 3.2 ≈ 105 by 1.2 ≈ 104. G Divide 1.2 ≈ 104 by 3.2 ≈ 105. H Divide 3.2 ≈ 104 by 1.2 ≈ 105. I Divide 1.2 ≈ 105 by 3.2 ≈ 104. 12 G 13 If Americans drink 3.8 million gallons of orange juice daily, about how much orange juice is consumed in the United States over a 31-day period? B 1.178 ≈ 108 gallons A 1.178 ≈ 102 gallons C 1.39 ≈ 109 gallons D 9.3 ≈ 109 gallons 13 B 11 Evaluate ((abc)2)5. A a7b7c7 C (ab)c7 Copyright © Glencoe/McGraw-Hill I 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 B a10b10c10 D 5(a2b2c2) FCAT Test Prep, Grade 8 25 Name Date Standards Practice Benchmark MA.A.3.3.1 The student understands and explains the effects of addition, subtraction, multiplication, and division on whole numbers and fractions, including mixed numbers and decimals, and including the inverse relationships of positive and negative numbers. Read each question and choose the best answer. Then write the letter for the answer you have chosen in the blank at the right of each question. 1 If c is a positive integer that divides into 60 without remainder, and Fran finds d such that c ≈ d = 60, then what type of number must d be? A a negative integer B a number greater than c C a negative fraction D a whole number 1 D 2 Consider the position of point A on the number line. What happens to the position of A when it is multiplied by a mixed number less than –2? 2 G 3 Juan and three friends are eating lunch at a café in Gainesville, and he offers to pay the bill. The four friends each selected meals that cost $5.45. When Juan multiplies the cost of each dinner by 4, what kind of number does he get? A an integer greater than 20 B a decimal between 18 and 24 C a whole number between 25 and 30 D a real number greater than 25 3 B 4 The additive inverse of 34 is which kind of number? F a negative integer such that the product of 34 and the number is 1 G a negative integer such that the sum of 34 and the number is 0 H a number such that the sum of 34 and the number is 34 I a positive integer such that the product of 34 and the number is 1 4 G A A F 100 0 100 100 G A 100 100 A H 26 0 0 A I 0 FCAT Test Prep, Grade 8 100 100 100 0 100 Copyright © Glencoe/McGraw-Hill 100 Name Date Standards Practice Benchmark MA.A.3.3.1 (continued) Read each question and choose the best answer. Then write the letter for the answer you have chosen in the blank at the right of each question. 5 A 6 Subtracting a from b gives which result? F a number that when added to a gives b G a number that when added to b gives a H a number that is less than a I a number that is more than b 6 F 7 Kala has a piece of wood that measures 45 inches, and she must mark off 2.25-inch increments. When she divides 45 by 2.25 where could the quotient, Q, appear on a number line? 7 B 5 What happens when the following operation is performed? Assume that □ and are not equal to zero. A B 2 Copyright © Glencoe/McGraw-Hill C D Q A 45 0 45 Q B 45 0 45 Q C 45 0 45 Q D 45 0 45 FCAT Test Prep, Grade 8 27 Name Date Standards Practice Benchmark MA.A.3.3.1 (continued) Read each question and choose the best answer. Then write the letter for the answer you have chosen in the blank at the right of each question. 8 H 9 A 10 Which item shows an inverse operation of the one used in f ≈ g? F g≈f G f+g H g–f I f÷g 10 I 11 The yearbook staff at a middle school are figuring out how much they should charge (C) for each yearbook. The following table shows their printing costs. They have 936 pre-orders for yearbooks and plan to have this many printed. Which scenario will ensure that they will make a profit? 11 B 8 Bert is measuring water for a cake recipe. He fills a measuring cup with 2 cups of water and then pours out a fractional amount between 0 to 1 cup. Which could be the resulting position of the water in the measuring cup? F G 3 cups 2 cups 1 cups 3 cups 2 cups 1 cups I 3 cups 2 cups 1 cups 3 cups 2 cups 1 cups 9 When Sophia adds a mixed number between 5 and 6 to another mixed number between –6 and –7, which type of answer does she get? A a number between –2 and 0 B a number less than –1 C a number between 0 and 1 D a number greater than 2 Yearbook Costs Printing startup cost (S) Printing charge per book (B) A B C D 28 $4,680 $10 Make sure that 936C – 14,040 is a negative number. Make sure that 936C – 14,040 is a positive number. Make sure that 14,040 – 936C is a positive number. Make sure that 936C – 14,040 is 0. FCAT Test Prep, Grade 8 Copyright © Glencoe/McGraw-Hill H 3 cups 2 cups 1 cups Name Date Standards Practice Benchmark MA.A.3.3.2 The student simplifies mathematical expressions using the correct order of operations or identify the correct order of operations. Copyright © Glencoe/McGraw-Hill Read each question and choose the best answer. Then write the letter for the answer you have chosen in the blank at the right of each question. 1 To simplify the expression below, which order of operations should be used? 1–8÷4≈6+7 A –, ÷, ≈, + B –, ≈, +, ÷ C ÷, ≈, –, + D ≈, ÷, +, – 1 C 2 Which operation should be performed last to simplify the expression? 52 – 3(4 ≈ 2)(18 – 16) F 52 – 48 G 18 – 16 H 4≈2 I 52 – 3 2 F 3 3 What is the value of the expression? (33 + 8) – 62 ÷ 3(12 – 11) 23 0 1 2 3 4 5 6 7 8 9 4 4 Which expression below has the same value as the following? 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 D 5+9–4+6 1≈3 A (5 + 9) – (4 + 6) ÷ 1 ≈ 3 B 5 + (9 – 4 + 6) ÷ (1 ≈ 3) C (5 + 9) – 4 + 6 ÷ 1 ≈ 3 D (5 + 9 – 4 + 6) ÷ (1 ≈ 3) FCAT Test Prep, Grade 8 29 Name Date Standards Practice Benchmark MA.A.3.3.2 (continued) Read each question and write your answer in the space provided. What is the value of the expression? (4 ≈ 5) – 3 ÷ 1 5 1 7 0 1 2 3 4 5 6 7 8 9 6 What is the resulting value after the first operation is performed in the following expression? 15 + 14(53 – 51) ÷ 2 6 The following expression has what fractional value? 6 ≈ 4(56 ÷ 28) 24 + 17 – 12 7 FCAT Test Prep, Grade 8 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 48/ 29 0 1 2 3 4 5 6 7 8 9 30 0 1 2 3 4 5 6 7 8 9 2 0 1 2 3 4 5 6 7 8 9 7 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 Copyright © Glencoe/McGraw-Hill 5 Name Date Standards Practice Benchmark MA.A.3.3.2 (continued) Read each question and choose the best answer. Then write the letter for the answer you have chosen in the blank at the right of each question. 8 Where do parentheses need to be added to the expression below so that the value of the expression is 12? 5+9–4+6÷1≈3 F (5 + 9) – (4 + 6) ÷ 1 ≈ 3 G 5 + (9 – 4 + 6) ÷ (1 ≈ 3) H 5 + (9 – 4) + 6 ÷ 1 ≈ 3 I (5 + 9) – 4 + 6 ÷ (1 ≈ 3) 8 9 9 What is the value of the expression below? 15 ÷ 5 + 21 ≈ 3 – 5 ≈ 6 I 36 0 1 2 3 4 5 6 7 8 9 10 What needs to be done first to simplify Copyright © Glencoe/McGraw-Hill A 12 ≈ 54 C 5 – 20 11 4(17 + 25) 5 – 20(12 ≈ 54) ? 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 D 10 B 4÷5 D 25 The following expression has what value? 40 – 20 ≈ (6 – 5 – 1) 11 40 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 FCAT Test Prep, Grade 8 31 Name Date Standards Practice Benchmark MA.A.3.3.3 The student adds, subtracts, multiplies, and divides whole numbers, decimals, and fractions, including mixed numbers, to solve real-world problems, using appropriate methods of computing, such as mental mathematics, paper and pencil, and calculator. Read each question and choose the best answer. Then write the letter for the answer you have chosen in the blank at the right of each question. The following table shows the original purchase price and discount for each of four television sets. What is the least dollar amount that a customer could pay for one of these televisions before tax? 31-inch Televisions Brand Price Discount A B C D $299.00 $325.00 $410.00 $375.00 1 Save $85 40% off 50% off Save $100 0 1 2 3 4 5 6 7 8 9 2 Seminole County holds the state record for the length of an alligator. 8 ft 1–2 in. 14 ft 5–8 in. A male measuring 14 feet ` inches was found in Lake Monroe. A female alligator in the same lake measures 8 feet ! inches. What is the difference in length between the two alligators? A 4 feet ` inches B 5 feet 8 inches C 6 feet D 6 feet \ inches 2 3 3 A company makes 18,400 portable radios in 4 weeks. If 5% are defective, how many working radios does the company make in a week? 1 95 FCAT Test Prep, Grade 8 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 D 4370 0 1 2 3 4 5 6 7 8 9 32 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 Copyright © Glencoe/McGraw-Hill 1 Name Date Standards Practice Benchmark MA.A.3.3.3 (continued) Read each question and choose the best answer. Then write the letter for the answer you have chosen in the blank at the right of each question. 4 Daphne plans to take out a loan of $575 borrowed for 5 months at an interest rate of 12% per year. How much interest will she pay for this loan? 4 28 . 75 Copyright © Glencoe/McGraw-Hill 0 1 2 3 4 5 6 7 8 9 5 Tonio and his family like to vacation on a yacht off the coast of Fort Meyers for 6 weeks each year. Fuel costs typically run around $302 per week. This year, Houseboat Rentals is offering to sell one of its 41-foot yachts for $118,595. Tonio can rent the same type of yacht for $2,250 per week. Which statement is true? F If Tonio and his family vacation the same way for the next 8 years, he would save more money by renting rather than buying the yacht outright. G Tonio usually spends $15,704 each year for fuel costs. H Each foot of a yacht is worth about $2,000. I If Tonio rents a yacht for 4 months, he will spend a total of $54,000. 5 6 6 Guadalupe and Kurt each run along Madeira Beach 3 times a week. Guadalupe runs 15 miles for each workout, and Kurt runs 2 the distance that Guadalupe runs. How far does Kurt run in 4 weeks? 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 F 1 35 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 FCAT Test Prep, Grade 8 33 Name Date Standards Practice Benchmark MA.A.3.3.3 (continued) Read each question and choose the best answer. Then write the letter for the answer you have chosen in the blank at the right of each question. 7 A clothing store in Auburndale sells rayon dresses and cotton dresses. The average price for a rayon dress is $34, and the average price for a cotton dress is $18. Last week the store sold 15 more cotton dresses than rayon dresses and recorded the total sales in dresses to be $1,362. How many rayon dresses did the store sell? 7 21 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 8 Pedro is 14 years old. He is 7 years younger than ! his father’s age. How old is Pedro’s father? A 35 B 37 C 39 D 42 8 D 9 The school district of Okeechobee County is having pencils printed with a logo and the county name. A printing company informs Greta that a graphic can be printed on wooden pencils that are 7 inches long with a right margin of 1` inches and a left margin of 2 inch as shown. How does Greta determine the amount of room she has to design the graphic? 9 G 10 C 3– 4 in. 5 Copyright © Glencoe/McGraw-Hill F Subtract 2 inch from 1` inches and then add 7 inches. G Add 2 inch to 1` inches and then subtract this sum from 7 inches. H Subtract 1` from 7 inches and then add 2 inch. Add 1` inches to 2 inch and then add this sum to 7 inches. 10 Alfonz sends 15 E-mails each day to his friends. How many E-mails does he send in 2 weeks? A 30 B 150 C 210 D 300 34 FCAT Test Prep, Grade 8 0 1 2 3 4 5 6 7 8 9 1–8 in. ? 7 in. I 0 1 2 3 4 5 6 7 8 9 Name Date Standards Practice Benchmark MA.A.4.3.1 The student uses estimation strategies to predict results and to check the reasonableness of results. Copyright © Glencoe/McGraw-Hill Read each question carefully and write your answer in the space provided. Be sure to show all your work. 1 Merritt Island National Wildlife Refuge provides a home to 16 endangered species within its 140,000 acres. How can a wildlife conservationist ESTIMATE how many acres are devoted to each species? Round 16 to 20 and divide into 140,000 to estimate that there are about 7,000 acres devoted to each endangered species. 2 A new tennis stadium has 4 sections. Each section has 52 rows with 68 seats in each row. What is the ESTIMATED total number of seats in the stadium? Explain the techniques that you use to determine your answer. Round 68 to 70 and 52 to 50. Multiply 70 ≈ 50 to estimate 3,500 seats in each section. Multiply 3,500 ≈ 4 sections for a total of about 14,000 seats. 3 24 in. Cynthia uses the Pythagorean Theorem to ESTIMATE the diagonal of a doorway. She measures its dimensions as 84 inches 84 in. tall by 24 inches wide as shown in the diagram below. She rounds 84 to 80 and 24 to 20 and calculates the diagonal of the door to be √80™~+~20™ = √6,400 + 400 =√6,800 . Then she estimates √6,800 at about 85 because this square root must be greater than 80, and the diagonal of the door must be greater than 84. Part A Are Cynthia’s methods appropriate? Why or why not? Sample answer: no; If a number is rounded before it is squared, it makes a big difference in the value of the square. For example, 32 = 9, but if you round 3 to 5, 52 = 25, more than double the square value of the original number. Part B Does she underestimate or overestimate the length? Explain. She underestimates because she rounds both leg values down. FCAT Test Prep, Grade 8 35 Name Date Standards Practice Benchmark MA.A.4.3.1 (continued) Read each question carefully and write your answer in the space provided. Be sure to show all your work. 4 5 Phillip changes a 60-watt light bulb in his kitchen and notices that the bulb has a lifespan of 1000 hours under normal use. Phillip figures that he uses his kitchen light an average of 4 hours a night. ESTIMATE the number of months the bulb should last for Phillip. Explain the reasonableness of youranswer. Sample answer: 6 months; Round 4 hours to 5 hours; 1000 hours ÷ 5 hours = about 200 days. Use 30 days for a month and divide 200 days ÷ 30 days, or 20 ÷ 3, which is a little over 6 months. Although 6 months seems like a long time for the life of a light bulb, the answer is reasonable based on the information that the bulb should last 1000 hours and the fact that I overestimated the time that he uses the light. The actual answer is a little more than 6 months, so I rounded down because I underestimated the number of days in a month. Coach Bishop is planning an end-of-the-year party for his junior-league football team. He invites all 52 members of the team, 21 of whom plan to bring both parents. Of the remaining 31 players, 18 will bring just one parent, and the rest will be coming alone. Coach Bishop is going to order party trays that will each feed 15 to18 people. How can he ESTIMATE the number of party trays that he will need? 6 36 14 units Katrina is trying to guess how many jellybeans are in a cylindrical jar at a carnival. She uses her index finger as 20 units 1 unit, and she measures the jar at 20 units tall with a diameter of about 14 units. A jellybean in the jar looks like it has a volume of about ! cubic units. How can Katrina ESTIMATE the number of jellybeans that are in the jar? Sample answer: Estimate the radius of the jar to be about 7 units. So the volume of the jar would be π ≈ 72 ≈ 20. π ≈ 20 is about 62, so the volume of the jar can be simplified to about 62 ≈ 49. Round to 60 ≈ 50, or about 3,000 cubic units. Multiply 3,000 ≈ 2 to estimate 6,000 jellybeans in the jar. FCAT Test Prep, Grade 8 Copyright © Glencoe/McGraw-Hill Sample answer: Round 52 to 50, 21 to 20, 18 to 20 and the remaining players to 10. So there will be 50 players + (20 + 20) parents + 20 parents coming to the party, or about 110 people total. The trays will feed a little under 20 people, and ¬Î¬ÀÛ = 5.5 trays that will feed just under 110 people. To make sure there is enough, add one or two more trays (5.5 + 1 = 6.5 or 5.5 + 2 = 7.5) and round up. He will need 7 or 8 party trays. Name Date Standards Practice Benchmark MA.A.4.3.1 (continued) Copyright © Glencoe/McGraw-Hill Read each question carefully and write your answer in the space provided. Be sure to show all your work. 7 Pareo likes to shop at a small cash-only grocery store because he claims that he saves 35% off his grocery bill every week. If he spends an average of 68 dollars a week at this store, ESTIMATE how much he would spend weekly at a more expensive brand store. Explain the steps in your reasoning. Sample answer: $105; 35% is about *. Pareo spends about $70 a week now, which is about + as much as he would spend at a brand store. Divide 70 by +, or multiply by #. 70 ÷ 2 = 35 ≈ 3 = 105. 8 In the following problem, you will Kelsie’s Selections be required to use and explain Item Cost ESTIMATION strategies. Swimsuit $14.45 Kelsie selects several items from Jeans $22.95 a clothing store. The following Shirt $7.24 chart shows each item and its Earrings $1.10 cost. She has a 50-dollar bill and a 5-dollar bill. Assuming that Kelsie will be taxed at 6% of her entire purchase, does she have enough to purchase these items? Sample answer: yes; Add $14 + $22 + $7 + $1 to get $46. Estimate that $0.45 + $0.24 + $0.10 will add about $1 and $0.95 will add $1, so $46 + $1 + $1 = $48. 6% is a little less than 10%, and 10% of $48 would be around $4.80, so estimate another $3 for the tax. $48 + $3 = $51 and $51 < $55, so Kelsie has enough money. 9 A new dormitory near Florida Gulf Coast University stipulates that each resident must have at least 245 square feet of living space. If a suite on the second floor measures 22 feet by 38 feet, ESTIMATE the number of students this suite will accommodate. Sample answer: Round the dimensions of the room to 20 ≈ 40 to estimate 800 square feet of total living space. Round 245 to 250, which will go into 800 a little over 3 times, but definitely not 4 times, so the suite will accommodate 3 students. FCAT Test Prep, Grade 8 37 Name Date Standards Practice Benchmark MA.B.1.3.1 The student uses concrete and graphic models to derive formulas for finding perimeter, area, surface area, circumference, and volume of two- and three-dimensional shapes, including rectangular solids and cylinders. Read each question carefully and write your answer in the space provided. Be sure to show all your work. 1 2 Milayne is attempting to grow a lawn in her back yard. She lives in a very hot region, so she selects Zoysia grass seed, which sells at 25 ft $68 a bag. One bag of this seed will cover approximately 175 square feet of land. What dollar amount will she spend to seed her entire back yard if she uses these bags of Zoysia? 15 ft 340 10 ft Back Yard 15 ft 12 ft House 0 1 2 3 4 5 6 7 8 9 25 ft 10 ft 32 ft Emilio wants to order enough wallpaper to decorate 3 walls in his dining room. Each wall measures 10 feet by 15 feet. How many square yards of wallpaper does he need? 2 Adrianna is instructed to chalk out the following diagram on a flat area for an activity in gym class. How many yards make up the perimeter of the chalked area? 14 yd 8 yd 6 yd 8 yd 38 FCAT Test Prep, Grade 8 3 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 50 0 1 2 3 4 5 6 7 8 9 3 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 68 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 Copyright © Glencoe/McGraw-Hill 1 Name Date Standards Practice Benchmark MA.B.1.3.1 (continued) Read each question carefully and write your answer in the space provided. Be sure to show all your work. 4 5 Glycerin weighs about 0.73 ounce per cubic inch. Ms. Reynolds brings a perfect cube of glycerin with a side length of 4 inches to show her science class. What is the weight of this cube of glycerin in pounds? 4 James is wrapping a gift and wraps 2 pieces of ribbon all the way around the box as shown with no overlapping. How many centimeters of ribbon does he use? 5 76 cm 37 cm A Japanese restaurant uses a container in the shape of a trapezoidal prism as shown. 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 290 0 1 2 3 4 5 6 7 8 9 16 cm 6 2 . 92 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 4.5 cm 1.6 cm Copyright © Glencoe/McGraw-Hill 7 cm Part A Given the dimensions of the 3 cm container, determine its capacity. Explain your reasoning if volume of prism is area of base times height. 42 cubic centimeters; Area of trapezoid = !h(b1 + b2) = !(1.6)(4.5 + 3) = 6 square centimeters. Multiply 6 by 7 (prism height) to get 42 cubic centimeters. Part B If 1 liter = 1000 cubic centimeters, how many milliliters of mustard sauce will the above container hold? 42 cubic centimeters = 0.042 liter = 42 milliliters. FCAT Test Prep, Grade 8 39 Name Date Standards Practice Benchmark MA.B.1.3.1 (continued) 7 d When this label is wrapped around the cylindrical can of peas, it fits Label h Peas perfectly top to bottom and does not overlap itself. What expression can be written that represents the area of the label? Explain in words how to write the expression. dπh; the area of the label is the circumference of the top of the can multiplied by the height of the can. The circumference of the top of the can is dπ, and the height of the can is h, so the area of the label is represented by dπh. 8 A packing company in Jupiter, Florida, routinely packs and ships 1.4 cubic feet of material at a time. Would they benefit from 10 in. 15 in. purchasing boxes that measure 10 inches by 12 in. 12 inches by 15 inches? State the formulas and/or conversions that you use to determine your answer. No; for the capacity of the box, use V = lwh = 10 ≈ 12 ≈ 15, or 1,800 cubic inches of material. 1 cubic foot is 123 or 1,728 cubic inches. The company sends 1.4 ≈ 1,728 or 2,419.2 cubic inches of material at a time. 2,419.2 > 1,800, so these boxes would be too small. 9 a a A car dealership in Pensacola usually provides customers with cylindrical b b cups to use with a filtered water dispenser. In an effort to cut costs, they have purchased conical cups that are the same height and have the same diameter as the original cups, but these new cups hold * the liquid of the original cups. Using the variables on the figures, derive an expression to represent the volume of a conical cup. Explain your reasoning. ™πa2b; Let Vo = volume of original cup and Vn = volume of new cup. Use the formula V = πr2h to rewrite the volume of the cylindrical cup as a 2 Vo = π ≈ ˇı ˇı ≈ b , or 0πa2b. Since the new cups hold * the liquid of the 2 original cups, Vn = * Vo = * ≈ 0πa2b = ™πa2b. 40 FCAT Test Prep, Grade 8 Copyright © Glencoe/McGraw-Hill Read each question carefully and write your answer in the space provided. Be sure to show all your work. Name Date Standards Practice Benchmark MA.B.1.3.2 The student uses concrete and graphic models to derive formulas for finding rates, distance, time, and angle measures. Read each question carefully and write your answer in the space provided. Be sure to show all your work. 1 2 One morning in Citrus Springs, Vince woke at 8:00 A.M. to an outdoor temperature of 67 degrees. Later in the day, his outdoor thermometer read 89 degrees. He checked his watch, and it was 1:30 P.M.. What was the average rate of increase of the temperature in degrees per hour? 1 In the figure of a regular pentagon, a line is drawn to create an isosceles triangle. What is the measure of angle 1 in degrees? 2 1 4 0 1 2 3 4 5 6 7 8 9 Copyright © Glencoe/McGraw-Hill 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 36 0 1 2 3 4 5 6 7 8 9 3 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 A young aviator named Tony Jannus piloted the first passenger service flight between Tampa and St. Petersburg on January 1, 1914. The trip was scheduled for 22 minutes, but the plane had to stop for a minor repair on the way. The distance from Tampa to St. Petersburg is about 17 miles. If the flight had gone as planned, about how fast would the plane have been traveling in miles per hour? (17 miles/22 minutes) ≈ (60 minutes/1 hour) = about 46.4 miles per hour FCAT Test Prep, Grade 9 41 Name Date Standards Practice Benchmark MA.B.1.3.2 (continued) Read each question carefully and write your answer in the space provided. Be sure to show all your work. A female bottle-nosed dolphin swims at 35 miles per hour 75 miles off the coast of southern Florida. How many miles does she travel in 18 minutes? 4 10.5 0 1 2 3 4 5 6 7 8 9 5 6 42 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 Gene is mapping out the beats to a song with dots. Each dot represents 8 counts of music, and 30 seconds of the song is represented by 6 dots. A slow song runs at about 64 counts per minute, and a fast song runs at about 196 counts per minute. The song that Gene is mapping runs at how many counts per minute? Would it be classified as a moderately slow song or a moderately fast song? Explain. 96 counts per minute. Multiply 8 counts per dot by 12 dots per minute to get 96 counts per minute. 96 is closer to 64 than 196, so this is a moderately slow song. Josh knows that if he bicycles at 25 miles per hour, he burns about 20 calories per minute. He ate a 745-calorie lunch in the school cafeteria. How many minutes must Josh bicycle to burn 372 calories, or almost half of the calories that he took in during lunch? FCAT Test Prep, Grade 8 6 18.6 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 Copyright © Glencoe/McGraw-Hill 4 Name Date Standards Practice Benchmark MA.B.1.3.2 (continued) Read each question carefully and write your answer in the space provided. Be sure to show all your work. 7 8 Copyright © Glencoe/McGraw-Hill 9 10 A hand-operated peanut shelling machine is capable of shelling 50 kilograms of peanuts an hour. If Camden uses the machine to shell peanuts 2 days a week for 3.5 hours each day, how many kilograms of shelled peanuts does he produce over a 6-week period? 7 A certain type of sunfish found in freshwater lakes throughout Florida measures 10.8 centimeters at 2 years old. At 6 years old, this same fish measures 23.4 centimeters long. At this rate, how many centimeters does this type of fish grow over a 4-month period? 8 2 1 00 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 1 . 05 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 Madison seals the rectangular envelope 2 1 shown. What is the measure of ·2 if the measure of ·1 is 58 degrees? Explain in words how you determine your answer. 32 degrees. Since the envelope is rectangular, the measure of its corner is 90. Subtract 90 – m·1, or 90 – 58 to get 32 degrees. An inkjet printer prints 3 full-color pages per minute on its professional setting. How many full-color pages can it print on this setting in three quarters of an hour? 3 pages ≈ 45 minutes = 135 pages FCAT Test Prep, Grade 8 43 Name Date Standards Practice Benchmark MA.B.1.3.3 The student understands and describes how the change of a figure in such dimensions as length, width, height, or radius affects its other measurements such as perimeter, area, surface area, and volume. Read each question carefully and write your answer in the space provided. Be sure to show all your work. 1 A toy company markets a scale-model truck with a trailer that has a capacity of 1,377 cubic inches. The advertisement says that the actual truck is 16 times bigger than this model. What is the capacity in cubic feet of the trailer on the actual truck? 1 0 1 2 3 4 5 6 7 8 9 capacity 1,377 in3 2 A store that specializes in realistic miniature furniture wants to model the end table shown. The company wants to reduce the diameter of the tabletop by a factor of !. How is the area of the tabletop affected? diameter 3264 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 2 A 3 G 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 A It is reduced by a scale factor of 0. B It is enlarged by a scale factor of 4. D It is enlarged by a scale factor of 2. 3 The Drama Club is going to perform a tragedy on a stage that is 8 meters by 3 meters. They have been practicing in a room with half the dimensions. How much more space will they have when they perform on stage? F They will have double the area. G They will have 4 times the area. H They will have 6 times the area. I They will have 9 times the area. 44 FCAT Test Prep, Grade 8 Copyright © Glencoe/McGraw-Hill C It is reduced by a scale factor of !. Name Date Standards Practice Benchmark MA.B.1.3.3 (continued) Read each question carefully and write your answer in the space provided. Be sure to show all your work. 4 A steering wheel hub has a diameter of 7.5 centimeters. The wheel has a diameter of 37.5 centimeters. About how many times does the circumference increase from the hub to the wheel? A 3 times B 5 times C 9 times D 25 times Copyright © Glencoe/McGraw-Hill 5 B 4 7.5 cm 37.5 cm An architect designs a room with dimensions of 12 feet by 14 feet. The owner wants a more open floor plan and has the architect redesign the room with triple the dimensions. What is the perimeter of the bigger room in feet? 5 1 56 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 6 Mr. Rodriguez’s science class is studying the properties of light, so h he provides the class with two glass equilateral triangular prisms, b one having 4 times the dimensions of the other. If the expression bh + 3lb represents the surface area of the smaller prism, which expression represents the surface area of the larger prism? F 2bh + 6lh G bh + 9lh H 4bh + 12lh I 16bh + 48lb 6 I 7 Marian is designing a square flowerbed with side length 26 inches. She then decides to quadruple the area of the bed. What happens to the side length of the bed? A It increases by a factor of 2. B It increases by a factor of 4. C It increases by a factor of 8. D It increases by a factor of 16. 7 A FCAT Test Prep, Grade 8 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 45 Name Date Standards Practice Benchmark MA.B.1.3.3 (continued) Read each question carefully and write your answer in the space provided. Be sure to show all your work. 8 Len is doing a project on oranges for his Social Studies class. He draws and labels an orange with a radius of 4 centimeters on a piece of paper. He then enlarges this image on a piece of poster board by increasing the area of the orange by a factor of 9. Which is the new radius of the orange? F 9 centimeters G 12 centimeters H 18 centimeters I 36 centimeters 8 G 9 Greyhound racing is popular in Jacksonville. The dimensions of a marathon track are shown in the figure. If a super marathon track has dimensions that are double those of the marathon track, how many times longer is the super marathon track? A 2 B 4 C 8 D 12 9 A 10 Simone is helping her father, who is a carpenter. He instructs her to paint two blocks of wood, one that measures 24 inches long by 2.5 inches wide by 9 inches tall and another one that measures half as long and one third as tall. What is the surface area of the smaller block of wood? F 147 square inches G 251 square inches H 321 square inches I 597 square inches 10 F 11 The cover of a calendar is printed on a sheet of paper that measures 60 centimeters by 30 centimeters. The diagonal of this sheet of paper is 67.1 centimeters. If a smaller version of this calendar is printed on a sheet of paper with 0 the area, by what factor would the length of the diagonal decrease? 11 C 46 A 0 B * C ! D 2 FCAT Test Prep, Grade 8 85 m 30 cm 25 m 67.1 cm Copyright © Glencoe/McGraw-Hill 25 m Name Date Standards Practice Benchmark MA.B.1.3.4 The student [constructs], interprets, and uses scale drawings such as those based on number lines and maps to solve real-world problems. Read each question and choose the best answer. Then write the letter for the answer you have chosen in the blank at the right of each question. 1 D 2 The distance from Gainesville to Ocala is 58 kilometers. For her Social Studies project, Cydney is going to draw a scale map of the area surrounding these locations, including Paynes Prairie, Marjorie Kinnan Rawlings, and Waccasassa Bay Preserve. She decides to use a scale of 1 inch = 5 kilometers for her legend. Which length must she allow between Gainesville and Ocala on her map? F 11.6 inches G 15 inches H 18.3 inches I 29 inches 2 F 3 3 1 A theme park provides its guests with the map below. Deidra, who wants to travel from the water-park to the rides, measures 42.2 centimeters from Wally’s Waterworks to Corbin’s Coasters. What is the distance in feet between these two attractions? Wally’s Waterworks Tommy’s Totland Jane’s Jungle Freddy’s Foodworld Copyright © Glencoe/McGraw-Hill A 3,376 C 4,220 1 cm 125 ft Corbin’s Coasters B 4,125 D 5,275 Fort Clinch State Park has a fishing pier that extends 1500 feet into Cumberland Sound. Buck uses the following scale model and determines that the entire pier is how many feet long? 440 feet Land Cumberland Sound 2640 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 FCAT Test Prep, Grade 8 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 47 Name Date Standards Practice Benchmark MA.B.1.3.4 (continued) Read each question and choose the best answer. Then write the letter for the answer you have chosen in the blank at the right of each question. 4 Oscar loves to bicycle while Bicycle Trail he is on vacation. A resort Resort in Florida sends him some information that includes the following map of its Forest Pond most popular bicycle trail, which is marked into 34 equal increments. The brochure says that the trail is 15.3 kilometers in length. If this map is drawn to scale, how long should each increment be? A 45 meters B 222 meters C 340 meters D 450 meters 4 D 5 An architect designs a building and drafts the scale model shown. If the actual building measures 128 feet wide by 52 feet tall, what does 1 inch represent on the architect’s scale? F 4 feet G 8 feet H 12 feet I 24 feet 5 F 6 D 7 H 6 Patrice studies the diagram of a virus for science class. Her textbook says that 1 nanometer = 1.0 ≈ 10-6 millimeters, and she uses the scale provided with the diagram to measure the diameter of the virus. Which could be the measure of this diameter? 32 in. 25 nanometers receptor binding proteins viral RNA core proteins lipid envelope B 53.125 nanometers D 106.25 nanometers 7 The Tsirkas family plans to tour and spend the night in the officers’ quarters of a battleship as part of a travel package. They receive the following diagram of the ship with an information packet. What is the actual length of the battleship? Officers’ Quarters 3.52 cm 1 cm 25 ft 20.4 cm F 204 feet H 510 feet 48 FCAT Test Prep, Grade 8 G 352 feet I 680 feet Copyright © Glencoe/McGraw-Hill A 5.3 ≈ 10–5 millimeters C 1.06 ≈ 10–6 millimeters 13 in. Name Date Standards Practice Benchmark MA.B.1.3.4 (continued) Read each question and choose the best answer. Then write the letter for the answer you have chosen in the blank at the right of each question. 8 A company wants to put a faded image of the state of Florida on the background of its notepads. The distance across southern Florida from Naples to Fort Lauderdale is Naples 103 miles. The company wants this part of the image to measure 2 inches. Which scale are they using? A 1 inch = 25.25 miles B 1 inch = 51.5 miles C 1 inch = 75 miles D 1 inch = 92.4 miles II III IV V VI VII VIII Oils & Vinegar Cereal Baby Items Juice Baking Items Rice & Pasta Mr. Clark teaches English at a middle school in Brandon. On the first day of class he announces that there will be at least four fire drills over the course of the semester, and he wants his students to familiarize themselves with the fire escape route he has posted on the bulletin board. The escape route on the posting measures 29 inches with a scale of 1 inch for every 2.5 meters. How many meters will Mr. Clark’s English class actually travel out of the building when they follow this escape route on one trip? 10 Bruce stocks shelves at a grocery store in Hudson. The manager gives him a layout of the areas he is to restock each evening. The actual length of Aisle IV is 38 feet, and this same aisle measures 8 centimeters on the layout. Which scale is used for this diagram? Copyright © Glencoe/McGraw-Hill Ft. Lauderdale Paper Products Canned Food 9 I F 1 centimeter = 3 feet G 1 centimeter = 42 feet H 2 centimeters = 9! feet I 11 A city planner designs this parking lot. What is the width of the driving aisle? A 12 feet B 15 feet C 16.5 feet D 17 feet B 8 9 72 .5 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 10 G 11 A 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 3 centimeters = 8` feet Parking Spaces 3.4 in. Driving Aisle 2.4 in. 1 in. 5 ft 3.4 in. Parking Spaces FCAT Test Prep, Grade 8 49 Name Date Standards Practice Benchmark MA.B.2.3.2 The student solves problems involving units of measure and converts answers to a larger or smaller unit within either the metric or customary system. Read each question and choose the best answer. Then write the letter for the answer you have chosen in the blank at the right of each question. 2 C 1 ? 24 cm Ben works at a local sandwich shop 4 hours a day 3 days a week. How many minutes does Ben work at the shop each month? 2 2 880 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 3 The Florida Trail Association wants to develop a continuous hiking trail over the length of Florida. So far, the Association provides hikers a footpath that is 1,300 miles long. The path starts in the Big Cypress National Preserve in the southern part of the state and runs north to Blackwater River State Forest and the Gulf Islands National Seashore. How many feet long is this path? F 3,900 G 2,288,000 H 6,864,000 I 82,368,000 3 H 4 According to statistics, Florida has lost about 5 million acres of quality farmland to urban development. If a football field has an area of 57,240 square feet, 5 million acres is the equivalent of about how many football fields? A 1.5 million B 1.9 million C 3.8 million D 4.2 million 4 C 50 FCAT Test Prep, Grade 8 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 Copyright © Glencoe/McGraw-Hill 1 Carlotta cuts a pound cake that is 24 centimeters long into 15 equal slices. Each slice is how many millimeters thick? A 1.6 B 2.4 C 16 D 24 Name Date Standards Practice Benchmark MA.B.2.3.2 (continued) Copyright © Glencoe/McGraw-Hill Read each question and choose the best answer. Then write the letter for the answer you have chosen in the blank at the right of each question. 5 Julio has 1.5 hours to write 3 essays for his English test. He completes 2 of the essays in 72 minutes. How much time does he have left? F 0.25 hour G 12 minutes H 28 minutes I 1,080 seconds 5 I 6 Rickie is making a quilt that measures 2800 millimeters long. Which is the equivalent measurement in meters? A 2.8 B 28 C 280 D 2800 6 A 7 7 A museum is planning to display a 70-ton locomotive that was built in 1899. Next to the exhibit, they are going to allow onlookers to handle a brick that weighs 8 pounds and post a sign stating the number of these bricks it would take to make up 70 tons. What is the number of bricks that they should post on the sign? 1 7500 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 8 The mass of a potato tissue sample is 5620 milligrams. How many of these samples would it take to make a collection with a mass of 84.3 grams? F 0.015 G 0.067 H 15 I 67 8 H 9 Sammy needs 3 quarts of broth for a soup recipe. How many cups of broth will he need if he plans to double the recipe? A 6 cups B 8 cups C 12 cups D 24 cups 9 D FCAT Test Prep, Grade 8 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 51 Name Date Standards Practice Benchmark MA.B.2.3.2 MA.A.1.4.2 (continued) Read each question and choose the best answer. Then write the letter for the answer you have chosen in the blank at the right of each question. 10 H 11 Mr. Tolzmann’s chemistry class needs to measure 12.25 cups of a liquid using containers that are marked to hold 14 fluid ounces. How can the class measure the substance accurately? A Measure 7 containers of the substance. B Measure 8.5 containers of the substance. C Measure 11.4 containers of the substance. D Measure 12.25 containers of the substance. 11 A 12 A boardwalk in the Everglades is about 420.1 meters long. If each board measures 10 centimeters, and there is a space of 0.5 centimeter between each board, how many boards line the boardwalk? F 4 G 41 H 401 I 4,001 12 I 13 Kim measures the perimeter of her rectangular desktop to be 12.5 feet. If one side of the desk measures 3.5 feet, what is the measure of the adjacent side in inches? A 33 inches B 42 inches C 55 inches D 150 inches 13 A 14 It is 149 miles from Edgewater to Jupiter. If a bus travels 65% of this distance, how many yards will it have traveled? F 52.15 yards G 96.85 yards H 170,456 yards I 262,240 yards 14 H 10 A waiter at a steak restaurant in Neptune Beach serves a table of 5 people. Each person at the table orders a 12-ounce steak. How many pounds of steak will be delivered to this table? 52 F 1! G 20 H 32 I FCAT Test Prep, Grade 8 Copyright © Glencoe/McGraw-Hill 5 Name Date Standards Practice Benchmark MA.C.1.3.1 MA.A.1.4.2 The student understands the basic properties of, and relationships pertaining to, regular and irregular geometric shapes in two and three dimensions. Read each question and choose the best answer. Then write the letter for the answer you have chosen in the blank at the right of each question. 1 Troy examines the net of a rectangular pyramid. Which statement is true? B A AF ﬂ GF G H F E A 1 C 2 G 3 B C B ·GAF ﬂ ·AFG C AG ﬂ FE D D GF ﬂ FE 2 A student draws a diagram of the coat rack below. What is the point of intersection of XS and ST ? F X G S H T I V Q R U P W 3 A wooden fence has the design shown. Which classification best describes the shape of one unit of the fence? A irregular concave pentagon B irregular convex pentagon C regular right pentagon D regular convex pentagon Copyright © Glencoe/McGraw-Hill 4 The bracket on the shelf is in the shape of a triangle. What is the sum of the measures of the interior angles of this bracket? S V T X Y one unit 4 bracket 1 80 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 FCAT Test Prep, Grade 8 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 53 Name Date Standards Practice Benchmark MA.C.1.3.1 MA.A.1.4.2 (continued) Read each question and choose the best answer. Then write the letter for the answer you have chosen in the blank at the right of each question. 6 54 B A company manufactures a sports drink bottle with a spout that flips open to an angle of 115 degrees. What is the measure in degrees of angle a? FCAT Test Prep, Grade 8 H 5 6 C D 6 Sharon cuts a coconut in the shape of a hemisphere with diameter 10 centimeters. What is the measure in centimeters of the distance shown? 7 Which expression represents the unknown length on the net of the cylinder? B 2yπ A x2 C xy D x + yπ 8 A 5 ? 0 1 2 3 4 5 6 7 8 9 x 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 B 7 y ? y 115 a 8 65 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 Copyright © Glencoe/McGraw-Hill 5 A rectangular sheet of paper is folded and labeled as shown. Which statement is true? F AB = 12 G AD = 6√3 H m·CDA = 90 – m·CAD I ·CAD ﬂ ·DAB Name Date Standards Practice Benchmark MA.C.1.3.1 MA.A.1.4.2 (continued) Read each question carefully and write your answer in the space provided. Be sure to show all your work. 9 The logo below is made up of a pattern of parallelograms. What is the measure in degrees of angle c? 9 c 0 1 2 3 4 5 6 7 8 9 132 10 Copyright © Glencoe/McGraw-Hill 11 Merle draws a circle and line p tangent to the circle. She then constructs a chord that is 36 degrees from a radius drawn to the point of tangency. When she measures angle b with a protractor, what should its value be in degrees? How many faces does this solid have? 48 10 b p 11 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 54 0 1 2 3 4 5 6 7 8 9 36 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 6 0 1 2 3 4 5 6 7 8 9 FCAT Test Prep, Grade 8 55 Name Date Standards Practice Benchmark MA.C.2.3.1 MA.A.1.4.2 The student understands the geometric concepts of symmetry, reflections, congruency, similarity, perpendicularity, parallelism, and transformations, including flips, slides, turns, and enlargements. Read each question and choose the best answer. Then write the letter for the answer you have chosen in the blank at the right of each question. 1 C 2 If <LM> ‹ <PQ> , then which condition must be true? F L, M, and P form a triangle G <LM> § <PQ> H <LP> § <PQ> I <LP> ‹ <MQ> 2 F 3 A rip current runs out towards the ocean in a direction that is ? perpendicular to the shoreline swimmer path rip current as shown in the diagram below. path A swimmer who gets caught in a rip current can try to escape shoreline it by swimming in a direction that is parallel to the shoreline. If the swimmer follows the path in the diagram, how many degrees would be between the swimmer’s path and the current’s path? 3 Cassie keeps a small collection of coins in a wooden box that is in the shape of a regular hexagon. How many lines of symmetry does the lid to this box have? 4 4 56 FCAT Test Prep, Grade 8 A 18 cm 70 55 D 18 cm Box C 55 B Lid 90 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 6 0 1 2 3 4 5 6 7 8 9 Copyright © Glencoe/McGraw-Hill 1 Which property can be used to conclude that m·ABC = 70? A symmetry B similarity C congruency D perpendicularity Name Date Standards Practice Benchmark MA.C.2.3.1 MA.A.1.4.2 (continued) Read each question carefully and write your answer in the space provided. Be sure to show all your work. 5 A company makes plastic hangers in two sizes. Each hanger is in the shape of an isosceles triangle. What is the length in centimeters of the bottom bar of the larger hanger? 5 135 26 cm 0 1 2 3 4 5 6 7 8 9 13 cm 135 22 cm 6 In the figure at the right, trapezoid FGHJ is dilated by what scale factor? F J G H H O Copyright © Glencoe/McGraw-Hill 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 3 G F 7 6 y J 44 x 0 1 2 3 4 5 6 7 8 9 Part A On the grid below, perform the following transformations. First, translate the figure 4 units to the right, and reflect it over the x-axis. Then reflect the figure over the y-axis, and rotate it 90 degrees counterclockwise about the point (–7, 2). Label your final figure DºEºFº. y D F E E x O D F Part B Is <DºEº> perpendicular or parallel to <DE>? Explain. Sample answer: <DºEº> § <DE> because the slope of <AB> is # , and the slope of <DºEº> is –+. FCAT Test Prep, Grade 8 57 Name Date Standards Practice Benchmark MA.C.2.3.1 MA.A.1.4.2 (continued) Read each question carefully and write your answer in the space provided. Be sure to show all your work. 9 At exactly 9 o’clock, the two hands of an analog clock form a right angle. If the short hand measures 32 millimeters and the long hand measures 60 millimeters, how many millimeters apart are the ends of the hands? Part A On the grid, plot and label rectangle PQRS with the following conditions: 1. R is at (2, 5). 2. The y-axis serves as a line of symmetry for RS. 3. Rectangle PQRS is similar to rectangle HJKL 12 11 10 8 1 2 ? 9 3 7 6 y 5 FCAT Test Prep, Grade 8 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 x Q(2, 2) H L J K Part B Explain in words how you determined where to plot rectangle PQRS. Sample answer: First I plotted R at (2, 5). Since the y-axis serves as a line of symmetry for RS, I reflected R over the y-axis to plot S at (–2, 5). From the statement of symmetry, I noted that RS ~ KL, and PQ ~ HJ. Since KL = 2 units and RS = 4 units, I determined that the scale factor from HJKL to PQRS is 2 and multiplied KL (3.5 units) by 2 to get 7 units as PQ. With this information, I plotted Q at (2, –2) and P at (–2, –2) to form rectangle PQRS. 58 0 1 2 3 4 5 6 7 8 9 R(2, 5) O P(2, 2) 0 1 2 3 4 5 6 7 8 9 4 8 S(2, 5) 68 Copyright © Glencoe/McGraw-Hill 8 Name Date Standards Practice Benchmark MA.C.2.3.2 MA.A.1.4.2 The student predicts and verifies patterns involving tessellations. Read each question and choose the best answer. Then write the letter for the answer you have chosen in the blank at the right of each question. 1 Sal is creating a pattern of triangular tiles along his bathroom wall. Which tile should he put in the space indicated? A B C Copyright © Glencoe/McGraw-Hill 2 F 3 C I 3 Which shapes are tessellated in the pattern below? A B C D B D 2 Which figure represents a uniform tessellation? F G H 1 triangles, trapezoids, and hexagons trapezoids, pentagons, and hexagons triangles, trapezoids, and pentagons trapezoids, rectangles, and pentagons FCAT Test Prep, Grade 8 59 Name Name Date Date Standards Practice Benchmark MA.C.2.3.2 MA.A.1.4.2 (continued) Read each question and choose the best answer. Then write the letter for the answer you have chosen in the blank at the right of each question. 4 Dominique purchases a small plant stand with the following pattern of mosaic tiles on the top. The salesperson explains that the design is a tessellation. How does the salesperson know this? I. The design covers a plane with no overlapping or empty spaces. II. The same set of figures is transformed throughout the design. III. The sum of the measures of the angles at each vertex is 180. F I and II only G I only H I, II, and III I II and III only 4 F 5 Which regular polygon can tessellate a plane? A B 5 B 6 F D 6 Marci rotates and translates the figure below to form a tessellation. Which figure could represent the outcome when she does this? F G H 60 FCAT Test Prep, Grade 8 I Copyright © Glencoe/McGraw-Hill C Name Date Standards Practice Benchmark MA.C.2.3.2 MA.A.1.4.2 (continued) Read each question and choose the best answer. Then write the letter for the answer you have chosen in the blank at the right of each question. 7 In the figure below, which transformations were performed to construct the tessellation? I. Reflection II. Rotation III. Translation A I and II only B II only C I, II, and III D II and III only Copyright © Glencoe/McGraw-Hill 8 Rudy is designing a quilt pattern. In one section, he wants to use two sets of congruent isosceles triangles to border a regular octagon as shown. Which values could be the measures of the angles of triangle A and triangle B? F triangle A: 35, 35, 110 triangle B: 32.5, 32.5, 115 G triangle A: 55, 55, 70 triangle B: 27.5, 27.5, 125 H triangle A: 45, 45, 90 triangle B: 22.5, 22.5, 135 I triangle A: 65, 65, 50 triangle B: 17.5, 17.5, 145 9 Annushka uses the tile below to create a tessellated patio in her back yard. Which numbered corner should be positioned at the indicated vertex to continue this pattern? A 1 B 2 C 3 D 4 A B 7 C 8 H 9 D 1 2 3 4 Tile Pattern FCAT Test Prep, Grade 8 61 Name Date Standards Practice Benchmark MA.C.3.3.1 MA.A.1.4.2 The student represents and applies geometric properties and relationships to solve real-world and mathematical problems. Read each question and choose the best answer. Then write the letter for the answer you have chosen in the blank at the right of each question. M K H G J G y (1, 8) Ave. (9, 11) Vista FCAT Test Prep, Grade 8 2 N (10, 8) e St. Orang (2, 6) lock . Dr ke La 62 D L F 2 Simcha designs a series of streets as part of a city project for her Social Studies class. She plots the streets on the coordinate plane below. According to her drawing, which two streets run parallel to each other? F Vista Avenue and Lake Drive G Mango Lane and Orange Street H Sunblock Boulevard and Mango Lane I Orange Street and Sunblock Boulevard 1 Sunb (5, 3) (7, 1) O . Blvd (11, 5) o Ln. Mang (11, 2) x Copyright © Glencoe/McGraw-Hill 1 The diagram shows the picnic area of a small park. In the figure, KHGF ﬂ JLMN and ·FKH measures 45 degrees. What does ·JLM measure? A 100 degrees B 125 degrees C 130 degrees D 135 degrees Name Date Standards Practice Benchmark MA.C.3.3.1 MA.A.1.4.2 (continued) Read each question and choose the best answer. Then write the letter for the answer you have chosen in the blank at the right of each question. 3 Harris is going to reflect quadrilateral PQRS in QR. Which coordinates represent the image of S ? A (1, –2) B (7, –2) C (7, –7) D (1, –7) 4 Legislators declared the mockingbird the State Bird of Florida in 1927. Lin is designing a web page on which a mockingbird rests on three different perches. She uses a coordinate grid to map where she wants the birds to appear on the page. 3 y Q O D x P R S y 3 (2, 6) 2 1 (2, 2) O x (7, 1) Copyright © Glencoe/McGraw-Hill Part A Describe in words the transformations from Bird 1 to Bird 2 and from Bird 2 to Bird 3. Include the types of transformations in your answer. Sample answer: Bird 1 translates up 3 units and right 5 units and then is reflected about the line x = –2. Bird 2 translates up 4 units and right 4 units and then is reflected about the line x = 2. Part B Use the Pythagorean theorem to estimate the distance between Bird 1 and Bird 3. Show all your work, and round your answer to the nearest tenth. The horizontal distance is 9 units, and vertical distance is 7 units, so the distance is √9™ +7™ = √81+ 49 = √130 ﬂ 11.4 units. FCAT Test Prep, Grade 8 63 Name Date Standards Practice Benchmark MA.C.3.3.1 MA.A.1.4.2 (continued) Read each question and choose the best answer. Then write the letter for the answer you have chosen in the blank at the right of each question. 5 Line AB is plotted with coordinates A(–3, –2) and B(1, –2) as shown below. Which action does NOT result in a new segment that is perpendicular to <AB>? F Plot <CD> with coordinates C(3, 0) and D(3, 1.5). A(3, 2) G Rotate <AB> 90 degrees counterclockwise about point B to form the image <AºBº>. H Plot <CD> so that it is parallel to the x-axis. I Reflect <AB> in the line y = x to form the image <AºBº>. 6 In which figure is line q a line of symmetry? y A q B y 5 H 6 D x O B (1, 2) y q C q O 7 q D y x O x x O Are the two figures similar? Why or why not? Explain in words and use mathematical terms in your answer. Sample answer: The figures are not similar because the ratios between corresponding sides are not equal. For example, y y J O K N x O A F L B M E C D AF = 4 and JO = 6 with a ratio of E or +, but CD = 2 and LM = 4 with a ratio of 1 or !. Since + ≠ ! , the figures are not similar. 64 FCAT Test Prep, Grade 8 Copyright © Glencoe/McGraw-Hill x O Name Date Standards Practice Benchmark MA.C.3.3.2 MA.A.1.4.2 The student identifies and plots ordered pairs in all four quadrants of a rectangular coordinate system and applies simple properties of lines. Read each question and choose the best answer. Then write the letter for the answer you have chosen in the blank at the right of each question. 1 Habib is copying a picture of a landscape onto a grid for art class, and he sketches the horizon line as shown. He needs to find the center of the segment for a focal point. Which coordinates best represent the midpoint of the segment that Habib has drawn? 1 B 2 I y horizon line A (4, 3) C (5, 3.5) O B (4.5, 2) D (5, 1) Copyright © Glencoe/McGraw-Hill 2 Ms. Teal teaches chemistry at a middle school in Englewood. One day, the class records several different temperatures of a compound over a period of time. Based on the slope of the line in the graph of their results, what could the class be doing with the compound? F setting it outside on a cold day G freezing it in a refrigerator H placing it near a window I heating it on a burner 3 x On the grid, plot G at (–3, –5) and then construct GH with an x-intercept of –4. Be sure to plot H in a different quadrant from G (not on the axes), and name the quadrants that contain G and H. G is in Quadrant III, and H is in Quadrant II. 160 Temerature (F) Landscape 120 80 40 0 4 8 12 16 Time (minutes) 20 y H O x G FCAT Test Prep, Grade 8 65 Name Date Standards Practice Benchmark MA.C.3.3.2 MA.A.1.4.2 (continued) Read each question and choose the best answer. Then write the letter for the answer you have chosen in the blank at the right of each question. 4 In the figure, which point has coordinates (1, –1)? A F B G C H D I y 4 H 5 I C G F E A x O H I G 5 Which line has only one intercept and zero slope? y y F G x H O I y O 6 x x Latoya likes to collect shells along Vero Beach. In 10 minutes, she collects 15 shells. After 35 minutes, she has a total of 25 shells. Part A Plot these coordinates on the grid, and draw the connecting ray. Part B Extend your graph to determine how many shells she will collect in an hour, if Latoya continues collecting in this manner. 35 shells 66 FCAT Test Prep, Grade 8 y x O y 40 30 20 10 O 10 20 30 40 x Copyright © Glencoe/McGraw-Hill O Name Date Standards Practice Benchmark MA.C.3.3.2 MA.A.1.4.2 (continued) Read each question and choose the best answer. Then write the letter for the answer you have chosen in the blank at the right of each question. 7 Lines AB and PQ will intersect at what coordinates? A (–2, –5) B (–1, –5) C (–5, –3) D (–4, –4) y O A(2, 2) P (1, 5) 8 Which description best describes the slope of the hypotenuse of this triangle? F The line slopes up 8 units for every 3 units to the right. G The line slopes down 8 units for every 6 units to the right. H The line slopes down 3 units for every 2 units to the right. I The line slopes up 4 units for every 3 units to the right. Copyright © Glencoe/McGraw-Hill 9 C 8 I x B(1, 1) Q (1, 6) y O 7 x Myra is plotting the diagram of a bookcase on a coordinate grid. The diagram will be 10 units tall by 6 units wide. She plans to place three shelves on the bookcase so that Shelf 2 is halfway between the top and bottom of the case, Shelf 1 is halfway between the top of the case and Shelf 2, and Shelf 3 is halfway between Shelf 2 and the bottom of the case. Starting at point B, finish Myra’s diagram, labeling the coordinates of the endpoints of each segment drawn on the grid. (2, 10) Bookcase Top (2, 7.5) (8, 10) (8, 7.5) Shelf 1 (2, 5) (8, 5) Shelf 2 (2, 2.5) Shelf 3 (8, 2.5) Bottom O B(2, 0) (8, 0) FCAT Test Prep, Grade 8 67 Name Date Standards Practice Benchmark MA.D.1.3.1 MA.A.1.4.2 The student describes a wide variety of patterns, relationships, and functions through models, such as manipulatives, tables, graphs, expressions, equations, and inequalities. Read each question and choose the best answer. Then write the letter for the answer you have chosen in the blank at the right of each question. 1 C 2 Which is NOT a solution of the inequality y ≥ 3x + 7? F (2, 13) G (5, 25) H (8, 32) I (12, 42) 2 I 3 Gavin builds a ramp that raises up 3 inches for every horizontal foot of 3 in. ground that it covers. How can the 1 ft relationship between the height of the horizontal length ramp h and the horizontal length that it covers û be described? A h = 3û B h = 2û + 1 C h = 0.25û D h = 3û – 1 3 C A y=x–4 C y = 5x – 12 4 x y 2 2 4 8 6 18 8 28 B y = x + 12 D y = 5x + 4 height Observe the pattern of clementines and strawberries in the fruit bowls shown. If this pattern were continued, how many strawberries would be in a bowl of 21 clementines? 4 62 0 1 2 3 4 5 6 7 8 9 68 FCAT Test Prep, Grade 8 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 Copyright © Glencoe/McGraw-Hill 1 Which equation can be used to generate this function table? Name Date Standards Practice Benchmark MA.D.1.3.1 MA.A.1.4.2 (continued) (continued) Read each question and choose the best answer. Then write the letter for the answer you have chosen in the blank at the right of each question. 5 G 500 6 The Central Florida Zoo charges $8 admission for adults and $4 admission 400 for children ages 3–12. The linear model 300 8x + 4y = 1,600 represents the different ways the zoo can sell x adult tickets and 200 y children tickets to make a daily profit 100 of $1,600. Leo graphs the inequality 8x + 4y < 1,600 on a coordinate grid as 0 100 200 300 400 shown. What do the solutions of this Adult Admission inequality represent? A the different ways the zoo can sell x adult tickets and y children tickets to make a daily profit of greater than $1,600 B the different ways the zoo can sell x adult tickets and y children tickets to make a daily profit of less than $1,600 C the different ways the zoo can sell x adult tickets and y children tickets to make a daily profit of greater than or equal to $1,600 D the different ways the zoo can sell x adult tickets and y children tickets to make a daily profit of less than or equal to $1,600 6 B Child Admission 5 Which number pattern does the equation y = 22x – 19 generate for integer values of x from 1 to 4? F 3, 12, 48, 192 G 3, 25, 47, 69 H –19, 3, 25, 49 I –19, 20, 21, 22 Copyright © Glencoe/McGraw-Hill 7 What is the next number in the sequence? 8.25, 8.5, 8.75, 9, ? 500 7 9 . 25 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 FCAT Test Prep, Grade 8 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 69 Name Date Standards Practice Benchmark MA.D.1.3.1 MA.A.1.4.2 (continued) (continued) Read each question and choose the best answer. Then write the letter for the answer you have chosen in the blank at the right of each question. 8 Which explanation shows how to determine the number of dots from the number of squares for this graphic sequence? 9 10 70 7 times the number of squares minus 2 6 times the number of squares minus 3 5 times the number of squares minus 3 4 times the number of squares minus 1 A doctor subtracts a person’s age from 220 to obtain the person’s calculated maximum heart rate for the Bruce protocol exercise stress test. The calculated maximum heart rate for a 12-year-old boy is 208 beats per minute. What will this calculated rate be in beats per minute after he ages 6 years? A paint-mixing machine is set up to release 25 milliliters of colorant each time the operator turns the release knob one full turn. How many milliliters of colorant will this machine release if the operator turns the release knob exactly 3! turns? FCAT Test Prep, Grade 8 9 202 0 1 2 3 4 5 6 7 8 9 10 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 87 . 5 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 Copyright © Glencoe/McGraw-Hill F G H I I 8 Name Date Standards Practice Benchmark MA.D.1.3.2 MA.A.1.4.2 The student creates and interprets tables, graphs, equations, and verbal descriptions to explain cause-and-effect relationships. Read each question and choose the best answer. Then write the letter for the answer you have chosen in the blank at the right of each question. 1 Yamal has been invited to join a strawberry-eating contest at a festival in Plant City, Florida. The person who eats the most strawberries is awarded 50 cents per strawberry eaten. Yamal wins the contest and walks away with a prize of 22 dollars. How many strawberries did he eat? A 22 B 33 C 44 D 55 1 2 2 For the equation y = 12x – 5, what is the value of y when x = !? C 1 3 A company accountant makes a graph of the cost to manufacture different quantities of specialized parts. What is the cost in dollars to manufacture 42 of these parts? Cost to Manufacture (dollars) Copyright © Glencoe/McGraw-Hill 0 1 2 3 4 5 6 7 8 9 3 171 164 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 1 43 157 150 143 136 129 122 0 21 28 35 42 49 56 63 70 Number of Parts 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 FCAT Test Prep, Grade 8 71 Name Date Standards Practice Benchmark MA.D.1.3.2 MA.A.1.4.2 (continued) (continued) Read each question and choose the best answer. Then write the letter for the answer you have chosen in the blank at the right of each question. 4 The tip speed of an airplane propellor is how fast the propellor of the airplane turns. Keith makes the following table to show how the revolutions per second of the propellor r are related to tip speed s for a propellor that measures 11 inches in diameter. If r increases by 15 revolutions per second, by how many inches per second does s increase? r (revolutions per second) 180 s (inches per second) 1,980 190 2,090 200 2,200 5 y 1 65 0 1 2 3 4 5 6 7 8 9 210 2,310 5 Which equation generates the line on the graph? F y = –4x – 16 4 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 I x O G 4y = –5x – 4 H 4y = –4x – 4 Quentin likes to scuba dive and explore shipwrecks off the coast of southern Florida. The graph shows the time that Quentin spends underwater depending on the depth that he dives. 70 60 50 40 30 20 10 Write a function that models 0 10 20 30 40 50 60 the time t Quentin spends Depth (feet) underwater for depth d. Explain how you write your function and state its domain. 70 80 t = –!d + 70 for 10 ≤ d ≤ 70; I used the formula t = md + b. The slope m of the line on the graph is –!. If d were 0, the y-intercept b would be 70; the domain is 10 ≤ d ≤ 70 because the graph has endpoints at 10 feet and 70 feet. 72 FCAT Test Prep, Grade 8 Copyright © Glencoe/McGraw-Hill 6 4y = –5x – 16 Time (minutes) I Name Date Standards Practice Benchmark MA.D.1.3.2 MA.A.1.4.2 (continued) (continued) Read each question carefully and write your answer in the space provided. Be sure to show all your work. 7 8 The diameter of the top of a lampshade is 10.5 centimeters. For every vertical inch down the shade, the diameter increases by 2 centimeters as shown in the diagram. If the shade is 5 inches tall, what is the measure in centimeters of the diameter of the base of the lampshade? 7 10.5 cm 20 . 5 1 in. 12.5 cm 0 1 2 3 4 5 6 7 8 9 5 in. ? cm 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 Isabel is on the track team at Azalea Middle School. She makes a table of the number of miles she plans to run by the end of each week of training. Week Miles 1 4 2 7 3 10 4 13 Part B Draw a graph of the equation you wrote in Part A and extend it out to 9 weeks. 32 28 24 Miles Copyright © Glencoe/McGraw-Hill Part A Write an equation to represent the number of miles m Isabel runs in terms of weeks w, and use your equation to predict the number of miles she will have run by the end of the 8th week. m = 3w + 1; 25 miles 20 16 12 8 4 0 1 2 3 4 5 6 Weeks 7 8 9 10 FCAT Test Prep, Grade 8 73 Name Date Standards Practice Benchmark MA.D.2.3.1 MA.A.1.4.2 The student represents and solves real-world problems graphically, with algebraic expressions, equations, and inequalities. 1 Arcelia’s mom is a salesperson who earns an annual salary of $18,000 plus a 15% percent commission on total sales s. Which equation can be used to determine her income i if she sells $8,600 of merchandise during a calendar year? A i = 8,600s + 18,000 B i = 18,000s + 8,600 C i = (0.15)8,600 + 18,000 D i = (0.15)18,000 + 8,600 1 C 2 A car rental company uses the expression 80d + 0.25m to calculate the total cost of renting a car. Which best describes the rental policy of this company? F The company charges 80 dollars a day and 0.25 cents per mile. G The company charges 80 dollars a day and 25 cents per mile. H The company charges 80 dollars a day and then adds a fixed fee of 25 cents to each day. I The company has a base charge of 80 dollars and then charges 25 cents per mile. 2 G 3 Which equation can be read aloud as, “The difference between one-third of a number and 4 equals the sum of 3.4 and another number?” 3 B 4 A 3n – 4 = 3.4 + m B *n – 4 = 3.4 + m C 3.4n – 4 = * + m D - – n = 3.4 + m Barry’s age a in 15 years will be less than 29. Part A Write an inequality in simplest form that models the above statement. Show your work. a + 15 < 29, a + 15 – 15 < 29 – 15, a < 14 Part B Label the number line and graph your inequality. 6 74 7 8 9 10 11 12 13 14 15 16 FCAT Test Prep, Grade 8 Copyright © Glencoe/McGraw-Hill Read each question and choose the best answer. Then write the letter for the answer you have chosen in the blank at the right of each question. Name Date Standards Practice Benchmark MA.D.2.3.1 MA.A.1.4.2 (continued) (continued) Read each question and choose the best answer. Then write the letter for the answer you have chosen in the blank at the right of each question. m Minutes 5 The graph shows the distance that a small boat travels down a river with respect to time. Which equation can be derived from this graph? A m = k + 24 B m = 5k C k = 5m D k = 24 – m B 6 I 60 30 O 3 6 9 12 15 18 21 k Kilometers 6 Wade purchases a cell phone plan that charges a base rate of $22.00 for a monthly usage of 250 minutes and 12 cents for each additional minute. If he plans to go over the base time by no more than 150 extra minutes, which inequality represents the range r that his monthly bill for this plan should be in? F 18 ≤ r ≤ 22 G 18 ≤ r ≤ 34 H 22 ≤ r ≤ 34 I 22 ≤ r ≤ 40 7 5 90 A department store in East Palatka charges $7.50 for a tie and $18 for a dress shirt. One week in March, the store sells 24 ties and earns $540 in the combined sales of ties and dress shirts. Part A Write an equation that determines the number of dress shirts d the store sells this week. Sample answer: 180 + 18d = 540 32 28 24 Dress Shirts Copyright © Glencoe/McGraw-Hill Part B Draw and label a graph that shows the different combinations of ties and dress shirts the store could sell to earn $540 or less. 20 16 12 8 4 0 8 16 24 32 40 48 56 64 72 80 Ties FCAT Test Prep, Grade 8 75 Name Date Standards Practice Benchmark MA.D.2.3.1 MA.A.1.4.2 (continued) (continued) Read each question and choose the best answer. Then write the letter for the answer you have chosen in the blank at the right of each question. 8 How can this graph be expressed as an inequality? A –16 < x ≤ –9 C –16 ≤ x ≤ –9 Brine Shrimp (thousands) Cindy keeps a record of how many brine shrimp b a sea horse consumes every 24 hours over the course of a week and graphs her findings. 18 12 6 0 48 96 144 Time (hours) Part B Use your equation to calculate how many brine shrimp the sea horse consumes in 8 hours. 1000 brine shrimp FCAT Test Prep, Grade 8 F B –16 ≤ x < –9 D –9 ≤ x < –16 Part A Write an equation to model this graph. Use h for hour. b = 125h 76 9 8 9 The equation 12y + 25x = 600 can be useful in which situation? F Find out how many 12-yard laps and 25-yard laps a swimmer can swim each day to reach a weekly goal of 600 yards. G Find out how far a 12-year old has to run each day for 25 days to reach a goal of 600 miles. H Find out how many $12 items and $25 items can be sold to make a profit of at least $60. I Find out how many 12-minute intervals exist in 25 time slots of 600 minutes. 10 A Copyright © Glencoe/McGraw-Hill 17 16 15 14 13 12 11 10 9 8 Name Date Standards Practice Benchmark MA.D.2.3.2 MA.A.1.4.2 The student uses algebraic problem-solving strategies to solve realworld problems involving linear equations and inequalities. Read each question and choose the best answer. Then write the letter for the answer you have chosen in the blank at the right of each question. 1 A seafood restaurant charges $6.50 for a lunch buffet plate and $1.35 for a fountain drink. The expression 6.5b + 1.35f can be used to calculate a customer’s bill before tax. A party of 4 eats lunch at this restaurant one afternoon. Each person orders a buffet and either a fountain drink or a free water. If the party spends a total of $30.05 before tax, how many people ordered fountain drinks? A 1 B 2 C 3 D 4 Copyright © Glencoe/McGraw-Hill 2 A company that manufactures frames uses the equation p = 2û – 32 to determine how many photo slots p they need to arrange in a frame û inches long. Each type of frame has the same width but a different length. The smallest frame they make has 4 photo slots. What is the length of this frame? F 18 inches G 12 inches H 8 inches I 4 inches w B 2 cup C + cup D 0 cup C 2 F 3 D 3 Fai pours 1! cups of cornmeal in a measuring cup that can only hold 2 cups. After checking the cornbread recipe, she adds a little more to the measuring cup before she tosses it in a mixing bowl. If 1! + c ≤ 2 represents the amount of cornmeal c that she adds to the measuring cup, how much cornmeal could Fai have added? A ` cup 1 FCAT Test Prep, Grade 8 77 Name Date Standards Practice Benchmark MA.D.2.3.2 MA.A.1.4.2 (continued) (continued) Read each question and choose the best answer. Then write the letter for the answer you have chosen in the blank at the right of each question. 4 In basketball, there are three ways Free Throws (f) 0 to score goals. A free-throw is worth Regular Baskets (r) 1 point, a regular basket is worth Three-point Shots (t) 8 2 points, and a three-point shot is worth 3 points. One team wins a basketball game with a score of 84. A scorekeeper tallies how many of each type of goal the team made during the game in a table, but he loses track of the number of regular baskets. Which equation can the scorekeeper use to determine how many regular baskets the team made and complete his table? F r = 3t + 1 G r = 42 – t H 2r = 84 – 3t I 84 = 3t – 2r 4 H 5 Louise and Tavarius plan to meet at Orlando Mall to do some shopping. Louise finds a $10 bill in the parking lot and places it in her pocket with the rest of her cash. When Tavarius learns this, he tells her that if he were to find a $20 bill, he would still have less money in his pocket than she originally had in hers. If Louise currently has $45, which amount could Tavarius currently have? A $14 B $16 C $18 D $20 5 A 6 6 78 FCAT Test Prep, Grade 8 2 1 600 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 Copyright © Glencoe/McGraw-Hill There is a saying that goes, “For every minute you are angry, you lose 60 seconds of happiness.” One Monday, Saraj tells Anton that she had been angry every other minute of that day, so Anton figures that Saraj was angry for 360 minutes during the course of the 12-hour day. If Saraj’s statement were actually true, how many seconds of happiness would she have lost that day? Name Date Standards Practice Benchmark MA.D.2.3.2 MA.A.1.4.2 (continued) (continued) Copyright © Glencoe/McGraw-Hill Read each question and choose the best answer. Then write the letter for the answer you have chosen in the blank at the right of each question. 7 Mr. Bakas tells Daniella that she should spend at least 12 hours working on her science project. Daniella has invested 5 hours and 45 minutes in her science project already. How much more time would it be feasible for her to invest in order for her to be within the teacher’s goal? F 4 hours and 55 minutes G 5 hours and 45 minutes H 6 hours I 7 hours and 5 minutes 7 8 When Henry drives from his house in Tallahassee to his grandparents’ house, the distance is 14 miles. The distance from his house to his sister’s house is 3 times this distance plus a mile. How many miles is it from Henry’s house to his sister’s house? 8 A local grocery store runs a weekly promotion to give valued card customers school bucks depending on how much they spend in the store. The store is using the equation 0.15b + 2, where b is a customer’s total grocery bill, to determine the amount of school bucks. Margaret’s bill totals $36 one day during the promotion. How many school bucks will the grocery store send to her chosen school? Be sure to use 2 decimal places in your answer. 9 9 I 43 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 7 . 40 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 FCAT Test Prep, Grade 8 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 79 Name Date Standards Practice Benchmark MA.E.1.3.1 MA.A.1.4.2 The student collects, organizes, and displays data in a variety of forms, including tables, line graphs, charts, and bar graphs, to determine how different ways of presenting data can lead to different interpretations. Read each question and choose the best answer. Then write the letter for the answer you have chosen in the blank at the right of each question. 1 The bar graph shows the population density of 7 Florida counties by displaying how many persons inhabit each county per square mile. Which title should be used for the vertical axis? 1 D 2 H 3 B A la ch ua Es ca m In b di an ia Ri ve M an r a O tee ka lo os a Pa Sa s nt co a Ro sa Vo lu sia 525 462.9 444.5 450 401.9 356.3 375 300 249.3 224.4 225 182.2 115.8 150 75 0 County B Number of Small Cities D Persons per Square Mile 2 Ms. Sano’s Honors Algebra class has 12 students. The midterm averages of these students are displayed on the stem-and-leaf plot at the right. If Hal is in this class, what is the probability that he has an A at midterm? F ™ G B H Æ I Average Grade Grading Scale 90 – 100 80 – 100 70 – 100 60 – 100 0 – 100 A B C D F Stem 9 8 7 6 5 Leaf 1 3 4 7 8 2 5 6 9 5 7 9 2 3 Research indicates that lozenges with high zinc ion availability (ZIA) levels significantly reduce the duration of the common cold. One study finds that 5 different lozenges with ZIA values of 15, 25, 42, 78, and 90 reduced colds by 0.5, 1.4, 2.7, 4.2, and 7 days, respectively. Which type of graph would best represent these results? A bar graph B scatter plot C line graph D table 80 FCAT Test Prep, Grade 8 Copyright © Glencoe/McGraw-Hill A Land Area (square miles) C Population (thousands) Name Date Standards Practice Benchmark MA.E.1.3.1 MA.A.1.4.2 (continued) (continued) Read each question and choose the best answer. Then write the letter for the answer you have chosen in the blank at the right of each question. 4 Which Venn diagram correctly represents that all squares are rhombi and all rectangles are parallelograms? F G Rectangles Parallelograms H Squares Rectangles Rhombi Parallelograms Squares Rhombi I Squares Parallelograms Rhombi Rectangles Parallelograms Squares Rectangles Copyright © Glencoe/McGraw-Hill 6 The histogram shows the weekly allowance for 12 students from the Future Entrepreneurs Club. How many students get from 7 to 12 dollars a week for an allowance? Ms. Zach makes a double line graph to show the number of students at middle schools A and B who speak multiple languages fluently. She has gathered data over a ten-year period and displays her totals in the graph at the right. Which year shows the greatest difference in the number of multiple language speakers between the two schools? Weekly Allowance 5 5 9 4 3 0 1 2 3 4 5 6 7 8 9 2 1 0 1–3 4– 6 7–9 Dollars 10 –12 Number of Students Who Speak Multiple Languages Fluently 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 400 6 350 Number of Students 5 Number of Students Rhombi F 4 300 1 998 250 200 150 100 50 0 1993 1995 1997 1999 Year 2001 Middle School A Middle School B 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 FCAT Test Prep, Grade 8 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 81 Name Date Standards Practice Benchmark MA.E.1.3.1 MA.A.1.4.2 (continued) (continued) Read each question and choose the best answer. Then write the letter for the answer you have chosen in the blank at the right of each question. 7 Keiji and Kioko both own karate schools with 500 students each. The following circle graphs show the percentage of students in each school who currently have a Green, Blue, Brown, Red, or Black belt. Percent of Students with Each Colored Belt Keiji’s School Kioko’s School Green 32% Black 10% Red 14% Green 29% Blue 26% Brown 15% Brown 18% Red 16% Black 21% Blue 19% Part A Use the information from the circle graphs to fill in the tables. Keiji’s School Belt Color # of students Green 160 Blue 130 Brown 90 Red 70 Black 50 Kioko’s School Green Belt Color 145 # of students Blue 95 Brown 75 Red 80 Black 105 82 200 175 150 125 100 75 50 25 0 FCAT Test Prep, Grade 8 Keiji Kioko Green Blue Brown Red Type of Belt Black Copyright © Glencoe/McGraw-Hill Number of Students Part B Construct a double-bar graph to display the data for both schools. Name Date Standards Practice Benchmark MA.E.1.3.2 MA.A.1.4.2 The student understands and applies the concepts of range and central tendency (mean, median, and mode). Read each question and choose the best answer. Then write the letter for the answer you have chosen in the blank at the right of each question. 1 The box-and-whisker plot shows the yearly salaries for 9 employees in a company. Which measures can be obtained from this plot? 12 10 22.5 15 24 20 25 37.2 30 35 A mean and mode C range and median Copyright © Glencoe/McGraw-Hill Baking Powder Baking Soda Cocoa Mix Coffee Cold Cereal Cornmeal Regular Pasta Semi-sweet Whole Wheat Flour 2 G 58.1 40 45 50 55 60 Time (minutes) Scheduled Flight Times 180 160 140 120 100 80 60 40 20 0 001 002 003 004 005 006 007 008 009 Flight Numbers The table shows the recommended shelf-life for each unopened item. What is the median shelf-life for these items? Item C B mode and median D range and mean 2 How can you find the mode from the bar graph? F find the average of the values on a calculator G find the most bars that are the same height H find the bar that represents the middle value I find the difference between the tallest bar and the shortest bar 3 1 Shelf-Life (months) 18 24 24 24 8 12 36 3 18 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 18 7 FCAT Test Prep, Grade 8 83 Name Date Standards Practice Benchmark MA.E.1.3.2 MA.A.1.4.2 (continued) (continued) Read each question and choose the best answer. Then write the letter for the answer you have chosen in the blank at the right of each question. 4 Which three measures are the same for the data 3 liters, 2 liters, 1 liter, 3 liters, 4 liters, 1 liter, 3 liters, 4 liters, 3 liters, and 2 liters? A range, median, and mode B mean, median, and mode C range, median, and mean D range, mean, and mode 4 A 5 The heights of the players on a middle-school softball team in inches are as follows: 60.5, 61, 61.2, 59.8, 62, 61.5, 60.5, 61.5, and 60.5. Which conclusion can be drawn from this data? F the mean height is 61.25 inches G the range is 62 inches H the median height is 61 inches I the mode is 61.5 inches 5 H 6 6 Name Taariq Macon Genna Oro Wray Fabian 7 Time Spent Fishing 2.5 3.25 1.75 2.25 3.5 2 Ulysses surveys a group of 250 students, asking them to select a favorite sport. He then makes a circle graph of his results. How many students are represented by the median of the 3 percents? 0 1 2 3 4 5 6 7 8 9 Favorite Sport Football 58% Basketball 18% Baseball 24% 84 FCAT Test Prep, Grade 8 1 . 75 7 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 60 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 Copyright © Glencoe/McGraw-Hill What is the range (in hours) of fishing time in the data set? Name Date Standards Practice Benchmark MA.E.1.3.2 MA.A.1.4.2 (continued) (continued) Read each question and choose the best answer. Then write the letter for the answer you have chosen in the blank at the right of each question. 8 Washington 21.7 Monroe A 8 Percent of Population Under 18 Years Northern Florida Counties Southern Florida Counties Bay 21.9 Broward 23.6 Columbia 25.4 Charlotte 15.7 Jefferson 22.7 Collier 19.9 Liberty 21.8 Highlands 19.2 Taylor 24.6 Lee 19.6 Union 21.8 Miami-Dade 24.8 17.1 Which hypothesis about the percent of minors could be drawn from these tables? A The mean percent of minors is less in southern Florida. B The mean percent of minors is less in northern Florida. C Minors are evenly distributed throughout Florida. D The youngest children live in northern Florida. What is the mean number of members this health club serves during the half-year? 400 240 0 1 2 3 4 5 6 7 8 9 160 80 0 Month Copyright © Glencoe/McGraw-Hill 260 320 Ja n Fe ua br ry ua M ry ar ch A pr il M ay Ju ne 9 Number of Members 9 Health-Club Members 10 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 F 10 A team of scientists sets sail to capture, weigh, and mark Atlantic white-sided dolphins each day for a week. They record these masses in a log. Masses (kilograms): 168, 175, 182, 191, 198, 175, 175, 180, 186, 178, 170, 175, 196, 188, 185, 172, 180 Which additional mass would change the median from 180 to 179? F 177 kilograms G 179 kilograms H 181 kilograms I 183 kilograms FCAT Test Prep, Grade 8 85 Name Date Standards Practice Benchmark MA.E.2.3.1 MA.A.1.4.2 The student compares experimental results with mathematical expectations of probabilities. Read each question carefully and write your answer in the space provided. Be sure to show all your work. 1 Erin works a part-time job after school to earn spending money. She helps a local doctor’s office file patient charts that accumulate over the course of the day. A typical workweek for Erin is shown in the table below. Day Number of Charts Monday Tuesday Wednesday Thursday Friday 45 35 50 40 25 The office manager adds another doctor to the group and tells Erin that the number of charts that she has to file will probably increase by 20% each day. After this change, Erin turns in this status report. 2 86 Number of Charts 63 49 70 56 35 Does the manager’s policy change increase Erin’s workload by the amount projected? Explain with a concrete example. No. The policy change increases Erin’s workload a little more than the amount projected. For example, on Monday, Erin would typically file 45 charts. If this amount increased by 20%, then she would file 54 charts, but she actually files more than the projected amount. G-Burgers promises to save customers 15% on the exact same meal served at A-Burgers. Andrew orders three combo meals at A-Burgers and pays $6.50, $4.80, and $7.20. The next week, he orders the exact same combos at G-Burgers and pays $5.85, $4.32, and $6.48, respectively. How much does he actually save? 10% FCAT Test Prep, Grade 8 Copyright © Glencoe/McGraw-Hill Day Monday Tuesday Wednesday Thursday Friday Name Date Standards Practice Benchmark MA.E.2.3.1 MA.A.1.4.2 (continued) (continued) Read each question carefully and write your answer in the space provided. Be sure to show all your work. 3 In a science class of 20 students, Ms. Henao conducts an experiment to test students’ visual response time (VRT). She has each student sit at a computer that is programmed to flash images randomly. The student clicks the mouse immediately when the image flashes, and the computer calculates the student’s visual response time in seconds. Ms. Henao presents the hypotheses below. 1 out of 5 people have a VRT under 0.20 seconds 1 out of 4 people have a VRT between 0.20 and 0.25 seconds 7 out of 20 people have a VRT between 0.25 and 0.30 seconds 1 out of 10 people have a VRT between 0.30 and 0.35 seconds 1 out of 10 people have a VRT over 0.35 seconds The results of the class experiment are shown in the table. Response Time (seconds) # of Students 0.20 0.20–0.25 0.25–0.30 0.30–0.35 0.35 4 7 9 0 0 Explain how the class ratios compare to the hypothesized ratios. The experimental and theoretical ratios for < 0.20 seconds are the same. Both ratios for 0.20–0.25 and 0.25–0.30 seconds are higher experimentally than theoretically, and both ratios for 0.30–0.35 and > 0.35 seconds are lower experimentally than theoretically. Copyright © Glencoe/McGraw-Hill 4 The table shows the expected and actual amount of sales recorded by a manufacturing company over a six-month period. Month Expected ($1,000) Actual ($1,000) Jul 120 125.5 Aug 120 128.3 Sept 135 132.4 Oct 138 129.2 Nov 141 135.7 Dec 144 141.1 Explain similarities and differences between expected and actual sales. The company expects sales to stay the same at first, increase rapidly in September, and then increase steadily through December. The sales actually increase steadily at first, then decline slightly in October before increasing steadily again through December. FCAT Test Prep, Grade 8 87 Name Name Date Date Standards Practice Benchmark MA.E.2.3.1 MA.A.1.4.2 (continued) (continued) Read each question carefully and write your answer in the space provided. Be sure to show all your work. 5 A rectangular target board is divided into 4 equal sections. Rowland stands 12 feet away from the board and throws 28 magnetic darts at the board. He wants to hit the target with all the darts. He does not care in which section they hit. II I III IV Part A Theoretically, how many darts should end up in any one section of the board? 7 Part B After Rowland finishes throwing the darts, he notes that there were 5 darts in Section I, 8 darts in Section II, 9 darts in Section III, and 6 darts in Section IV. How do these results compare with the number of darts you calculated in Part A? Sample answer: Each result is no more than 2 darts off from my calculation. 6 Melissa breathes once every 5 seconds while she is at rest. Part A Predict the number of breaths Melissa should take in a minute while she is at rest. 12 Part B A monitor records the total number of breaths Melissa takes over an eight-minute period. 1 11 2 27 3 38 4 50 5 64 6 77 7 91 8 104 What is Melissa’s average breathing rate per minute over this 8-minute period, and how does it compare with your prediction? 13 breaths per minute; Melissa takes one more breath per minute over the 8-minute period than my prediction. 88 FCAT Test Prep, Grade 8 Copyright © Glencoe/McGraw-Hill Minutes Total Breaths Name Date Standards Practice Benchmark MA.E.2.3.2 MA.A.1.4.2 The student determines odds for and odds against a specific outcome, or the probability of a simple event occurring. Read each question and choose the best answer. Then write the letter for the answer you have chosen in the blank at the right of each question. 1 D 2 Doug’s backpack currently contains 3 novels, 1 social studies book, 2 math books, 1 music book, and 1 science book. If he quickly takes out a book at random, what are the odds against it being a novel? F 5 to 3 G 3 to 5 H 3 to 4 I 4 to 3 2 F 3 Ricardo swam in the ocean 45 days during the summer of 2002 and suffered 2 ear infections. What are the odds against his getting an ear infection the first day he swims in the ocean during the summer of 2003? A 7:45 B 45:1 C 3:43 D 43:2 3 D 4 Julie plays ski ball at Alligator Arcade. The probability that she scores 240,000 is 0.22. What are the odds in favor of her scoring 240,000? F 1 to 22 G 5 to 24 H 11 to 39 I 11 to 120 4 H Copyright © Glencoe/McGraw-Hill 1 Nakeisha password protects her desktop settings with all the letters of her name and one numeric digit from 0–9. She then programs her computer to remember her password so that she does not have to keep typing it in. One day, she accidentally turns off this “memory” setting and has to type her password, but she cannot remember the last numeric digit. If she selects a digit at random, what is the probability that it will be incorrect? A l B Ä C s D à FCAT Test Prep, Grade 8 89 Name Date Standards Practice Benchmark MA.E.2.3.2 MA.A.1.4.2 (continued) (continued) Read each question and choose the best answer. Then write the letter for the answer you have chosen in the blank at the right of each question. 5 A 6 If there is a 30% chance that it will rain this Wednesday, what are the odds in favor of rain this Wednesday? F 1 to 3 G 3 to 10 H 4 to 9 I 3 to 7 6 I 7 7 5 Mr. Kurt asks the 586 students of Jepson Middle School to fill out a survey in which they select a name for the school mascot. The results of the survey are shown in the circle graph. Mr. Kurt then announces that he is going to choose a student at random from the student body. That student’s choice will be the mascot’s name. What are the odds against the name Bandit? A 4:1 B 4:5 C 17:3 D 2:1 Mascot Names Bandit Roscoe 15% 20% Sam 10% Wally 25% Buzz Mya works for a telemarketing agency, and the results of the last 75 calls she made are shown in the table. There is no answer. I left a message on an answering machine. Person wants us to call back another time. Person signs up for credit insurance. Person declines credit insurance. Person asks to be stricken from list. 12 9 11 3 19 21 What is the probability as a decimal that the next person she calls will sign up for credit insurance? 90 FCAT Test Prep, Grade 8 0 . 04 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 Copyright © Glencoe/McGraw-Hill 30% Name Date Standards Practice Benchmark MA.E.2.3.2 MA.A.1.4.2 (continued) (continued) Read each question and choose the best answer. Then write the letter for the answer you have chosen in the blank at the right of each question. 8 Xing enters a drawing for a free computer system. If 12,368 people have entered this drawing, including Xing, what are the odds in favor of Xing’s winning the system? A 1 to 12,367 B 12,368 to 1 C 12,369 to 1 D 1 to 12,365 8 9 9 Copyright © Glencoe/McGraw-Hill 10 A company manufactures hand-held computer games. A consumer report states that for every 75,000 of these games on the market, 1,500 are defective. What is the probability that a customer purchases a game that works properly? The Clayborne twins join a book club in which they will receive 1 of 5 books as an introductory free book. The club’s current stock of these free books is listed in the table. If one book is selected at random and shipped to the Clayborne twins, what is the probability that it will be Clock Stopping? Title of Book The Tall Mailbox Merry Mopping Clock Stopping The Quiet Squeak Lace Your Shoes Number of Books in Stock 610 785 1,035 940 1,130 A 0 . 98 0 1 2 3 4 5 6 7 8 9 10 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 . 23 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 FCAT Test Prep, Grade 8 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 91 Name Date Standards Practice Benchmark MA.E.3.3.1 MA.A.1.4.2 The student formulates hypotheses, designs experiments, collects and interprets data, and evaluates hypotheses by making inferences and drawing conclusions based on statistics (range, mean, median, and mode) and tables, graphs, and charts. 1 This circle graph is turned in by a science student Percent Volume of Gases in Air who finds that the volume composition of regular air is 78% nitrogen, 21% oxygen and 1% other Oxygen gases. Which is an accurate evaluation of this Other graph? Nitrogen A The circle graph is completely correct. B The circle graph is incomplete because it only has 3 sections. C The circle graph is incorrect because the wedge for nitrogen should be nearly 4 times the size of the wedge for oxygen. D The circle graph is incorrect because it implies that there is more nitrogen than anything else in the air. 1 C 2 The heights of several Phalaenopsis plants at maturity are listed below in inches. Accurate measures of central tendency are shown below the heights. Which is the best conclusion based on the data set? Heights: 18, 21.8, 22, 22.5, 21, 36.2, 38.5, 41.2, 22, 23.1, 24, 19, 20.5 Range: 23.2; Mode: 22; Mean: 25.4; Median: 22 F All Phalaenopsis plants grow between 18 and 41.2 inches tall. G A medium-sized plant in this group measures 22 inches tall. H Most Phalaenopsis plants grow 22 inches tall. I On average, Phalaenopsis plants are 24.5 tall. 2 G 3 Jerrie wants to gather feedback on a new cleaning fluid that she invented to determine if it is marketable. Which is the best course she could take? A Mail a small sample of the product to 10,000 homes. B Start selling her product on a small scale and survey her customers. C Ask people who purchase other cleaning fluids if they would like to buy her product. D Demonstrate her product on national television and survey people who call in about it. 3 D 92 FCAT Test Prep, Grade 8 Copyright © Glencoe/McGraw-Hill Read each question and choose the best answer. Then write the letter for the answer you have chosen in the blank at the right of each question. Name Date Standards Practice Benchmark MA.E.3.3.1 MA.A.1.4.2 (continued) (continued) Read each question and choose the best answer. Then write the letter for the answer you have chosen in the blank at the right of each question. 4 I 5 An orange juice company states that it conducted a nationwide survey in various supermarkets and that the most common choice for a favorite breakfast juice is orange juice. They hypothesize that a restaurant that serves orange juice for breakfast will bring in more business than one that serves other types of juice. Is this a valid hypothesis based on the results of the survey? A No; most restaurants serve orange juice anyway. B No; the hypothesis is not related to the survey. C Yes; several restaurants have added orange juice to their menus. D Yes; the hypothesis logically follows from the results of the survey. 5 B A shopping mall is built and completed near Kel’s house in December, 1998. Part A Formulate a valid hypothesis about the situation. Sample answer: The value of Kel’s house rises at a higher rate after the shopping mall is completed than before it was there. 240 Resale Value of Kel’s House 210 180 150 120 90 30 0 19 94 19 95 19 96 19 97 19 98 19 99 20 00 20 01 20 02 20 03 Copyright © Glencoe/McGraw-Hill 6 Resale Value (thousands) 4 Last year, on average, the cable company’s technicians responded to service calls about 3.25 hours after a problem was reported. After making some improvements, the company waits six months and then decides to conduct a courtesy survey to see if their technicians are responding more efficiently. Which is the best way for them to do this? F Mail a survey to every cable customer. G Call every customer who reported a problem, and ask them how long it took to correct the situation. H Mail a survey to every tenth cable customer, asking each customer to describe any problems they have had with service. I Conduct a telephone survey with every third customer who placed a service call in the last six months. Year FCAT Test Prep, Grade 8 93 Name Date Standards Practice Benchmark MA.E.3.3.1 MA.A.1.4.2 (continued) (continued) Read each question carefully and write your answer in the space provided. Be sure to show all your work. 7 A group of teachers suspect that high-school students spend much more time studying and doing homework than middleschool students. They survey 50 students from each of three different middle schools and three different high schools and chart the results. Study/Homework Time Per Day Average Average High Study Time Study Time School (hours) (hours) 2.1 Allen 2.5 2.0 Brookside 2.8 2.2 Central 2.5 Total 2.1 2.6 Average Middle School Allen Brookside Central Total Average Part A Do the data support the teachers’ suspicions? Why or why not? Sample answer: Yes and no; The students at the three high schools spend, on average, about half an hour more on homework and studying than the middle school students. This is more but not significantly more. 8 12 5 5 10 17 15 23 20 25 39 30 35 40 A researcher looks at the above information and advises movie makers to cater evenly to age groups ranging from 5 to 39. Is this sound advice? Explain using statistical terminology. Sample answer: No; The researcher misuses the range of the data and ignores the quartiles of the data, which indicate that over half the Saturday-afternoon viewers are between the ages of 12 and 23. 94 FCAT Test Prep, Grade 8 Copyright © Glencoe/McGraw-Hill Part B Can the teachers make a general statement about the study/homework time of high-school and middle-school students? Support your answer. No; They only surveyed six different schools and 50 students from each school. This does not supply a sufficient sample group. Name Date Test Practice Sample Test Read each question and choose the best answer. Then write the letter for the answer you have chosen in the blank at the right of each question. 1 Abigail exercises 12 days during each 30-day period. She tries to distribute her time so that she exercises with the same frequency on each day of the week. What is the probability that Abigail exercises tomorrow? Write as as a decimal. MA.E.2.3.1 2 Ms. Johansen makes a cardboard cube with a capacity of x3 cubic inches. She then makes smaller cubes to hand out to her class that each have 27 times less capacity. Which represents the side length of one of the smaller cubes? MA.B.1.3.3 A x B x 9 D C Copyright © Glencoe/McGraw-Hill 3 1 0.4 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 B 2 x 3 x 27 The design on a circular stained-glass wall decoration is shown. In degrees, what is the sum of the measures of angles d and e? MA.C.1.3.1 3 d e 244 . 5 125.5 125 45 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 Go on FCAT Test Prep, Grade 8 95 Name Date Test Practice Sample Test (continued) Read each question and choose the best answer. Then write the letter for the answer you have chosen in the blank at the right of each question. 4 A science teacher tells his class that the standard for normal body temperature, 98.6 degrees Fahrenheit, is actually a theoretical estimate. To prove his point, he records the temperatures of the students in his science class and has the class record the temperatures in a table and calculate measures of central tendency. MA.E.2.3.1 Temperatures Recorded in Degrees Fahrenheit Row 1 Row 2 Row 3 Row 4 Row 5 97.6 97.9 98.3 98.6 97.9 98.6 98.0 98.9 98.6 98.7 98.8 98.2 98.6 98.7 98.6 6 The Bermuda Triangle is estimated to cover about 500,000 square miles of the Atlantic Ocean. Which is another way to express 500,000? MA.A.1.3.4 F 56 G 50 ≈ 1,000 5 H 5 ≈ 10 I 100,000 + 5 96 FCAT Test Prep, Grade 8 5 7 .5 0 1 2 3 4 5 6 7 8 9 6 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 H Go on 0 1 2 3 4 5 6 7 8 9 Copyright © Glencoe/McGraw-Hill Range: 1.3, Mode: 98.6, Median: 98.6, Mean: 98.4 Explain how the class results compare with the theoretical standard. The most common temperature and median temperature for the class agree with the standard value, 98.6°F. However, the mean normal body temperature for this class is 98.4°F, which is slightly below the standard. The range of individual student temperatures is 1.3°F. 5 A cereal box is 15 inches tall and has a surface area of 462 square inches. A marketing person wants to promote the cereal by selling smaller boxes with a surface area of 115.5 square inches at a bargain price. If the smaller box is a scale model of the original cereal box, what is its height in inches? MA.B.1.3.3 Name Date Test Practice Sample Test (continued) Read each question and choose the best answer. Then write the letter for the answer you have chosen in the blank at the right of each question. 7 Which of the following shaded areas is less than \? MA.A.1.3.2 A B C 8 D When h hats are purchased by a theater company, the cost is c. What is the cost in dollars for 19 hats? Include two decimal places in your answer. MA.D.1.3.2 h c Copyright © Glencoe/McGraw-Hill A 7 20 $62.00 25 $74.50 35 $99.50 40 $112.00 59 . 50 0 1 2 3 4 5 6 7 8 9 9 Which expression can be used to determine how many people can ride on a bus with s seats, if 3 people can fit on each seat and 1 person drives the bus? MA.D.2.3.2 F 3s G 1 – 3s H 3s – 1 I 3s + 1 10 Suppose T is added to the graph so that PT ‹ MN. What are possible coordinates of T ? MA.C.3.3.1 A (2, 1) B (4, 2) C (6, 5) D (7, 4) 8 y 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 9 I 10 D 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 N M O x P Go on FCAT Test Prep, Grade 8 97 Name Date Test Practice Sample Test (continued) Read each question and choose the best answer. Then write the letter for the answer you have chosen in the blank at the right of each question. The hour hand of a wall clock is stuck in place when it reaches noon. The minute hand of the clock increases the angle it forms with the hour hand by 6 degrees every 60 seconds. The angle formed by the hour hand and the minute hand at 12:05 is 30 degrees. What will be the angle measure in degrees between the two hands in 15 minutes? MA.B.1.3.2 11 12 11 1 9 3 0 1 2 3 4 5 6 7 8 9 4 8 7 6 5 12 Which is the best way to solve the following expression? MA.A.3.3.2 25 ÷ 5 ≈ 5 +6 –1 F Multiply 5 by 5, divide 25 by 25, add 1 to 6, and subtract 1 from 7 to get 6. G Divide 25 by 5, multiply 5 by 5, add 25 to 6, and subtract 1 from 31 to get 30. H Divide 25 by 5 and multiply 5 by 5. Next subtract 1 from 6 to get 5 and add 5 to 25 to get 30. I Multiply 5 by 5. Then subtract 1 from 6. Finally, divide 25 by 25 and add 5 to get 6. 13 Lines m and n are parallel. MA.C.3.3.1 Part A Reflect the triangleover line m and then over line n. 1 20 2 10 12 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 G m n Part B Explain whether the triangle would end in the same orientation and position if you had reflected over line n first and then over line m. The orientation would be the same, but the position of the triangle would be above line m if I reversed the order of the reflections. Go on 98 FCAT Test Prep, Grade 8 0 1 2 3 4 5 6 7 8 9 Copyright © Glencoe/McGraw-Hill 11 Name Date Test Practice Sample Test (continued) Read each question and choose the best answer. Then write the letter for the answer you have chosen in the blank at the right of each question. 14 Which shapes are tessellated on this blanket? MA.C.2.3.2 A B C D 14 B 15 G 16 D 17 I diamonds, pentagons, and quadrilaterals squares, triangles, and parallelograms triangles, rhombi, and hexagons parallelograms, isosceles triangles, and scalene triangles 15 Nadia walks 1 mile every 15 minutes. One day, she goes out for a walk determined to keep her total walking time between 20 minutes and 1 hour. How many miles can she walk to stay within her limit? MA.D.2.3.2 F 1 mile G 3.8 miles H 4.1 miles I 5 miles 16 Jose completes a novel for English class in 10 days. The number of pages he reads per night are recorded in the table. MA.E.3.3.1 Copyright © Glencoe/McGraw-Hill 15 18 21 12 15 52 55 61 75 94 Which is the best hypothesis that can be formed about Jose’s reading habits based on the information in this table? A Jose spreads his reading out evenly. B Jose stays up late reading the first part of the novel, but he keeps falling asleep as he reads the later pages. C Jose dislikes this reading assignment. D Jose starts reading at a slow pace and then increases his reading rate as he becomes more interested in the novel. 17 Otis starts a workout schedule with 8 situps. Starting the next day, he plans to add 3 situps per day to work up his endurance. Which equation can he use to calculate the number of situps, s, he will do on a given day, d? MA.D.1.3.1 F s = 8d + 3 G d = 8s + 3 H d = 3s + 8 I s = 3d + 5 Go on FCAT Test Prep, Grade 8 99 Name Date Test Practice Sample Test (continued) Read each question carefully and write your answer in the space provided. Be sure to show all your work. How many lines of symmetry does this figure have? MA.C.2.3.1 18 2 0 1 2 3 4 5 6 7 8 9 19 What is the next fraction in the sequence? MA.D.1.3.1 \, ·“„, ¬ı ¬˜ , `, ____ ? 19 There are two black bear populations living in northern Florida. A bear cub measures 21.6 inches in height when he stands on his back legs. His mother’s height in the same position is 2.5 times his height. How many feet tall is this mother bear? MA.B.2.3.2 20 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 4.5 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 Go on 100 FCAT Test Prep, Grade 8 0 1 2 3 4 5 6 7 8 9 19/24 0 1 2 3 4 5 6 7 8 9 20 0 1 2 3 4 5 6 7 8 9 Copyright © Glencoe/McGraw-Hill 18 Name Date Test Practice Sample Test (continued) Read each question and choose the best answer. Then write the letter for the answer you have chosen in the blank at the right of each question. 21 22 Beyonce gathers information about the frequency of visitors to her web site for two weeks and graphs the results. She then uses the median of the data set to make a statement about her site. What is the value that she uses? MA.E.1.3.2 Sun 785 Number of Visitors per Day Mon Tues Wed Thurs Fri 329 245 356 419 670 Sat 845 Sun 898 Mon 453 Sat 861 Tues 385 Wed 340 Thurs 402 A lunch box is composed of a half-cylinder and a rectangular prism with the dimensions shown. MA.B.1.3.1 Fri 589 21 436 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 x z y Part A Write a formula to express the capacity of the lunch box. xyz + \πz2 y Copyright © Glencoe/McGraw-Hill Part B Find the capacity to the nearest tenth of the lunch box if x = 12 centimeters, y = 22 centimeters, and z = 16 centimeters. 6,435.7 cubic centimeters 23 The graph is of which equation? MA.D.1.3.2 23 y A A 3y = –7x – 17 B y = – 73 x – 2 C 7y = –3x – 15 D y = –Px – % O x Go on FCAT Test Prep, Grade 8 101 Name Date Test Practice Sample Test (continued) Read each question carefully and write your answer in the space provided. Be sure to show all your work. 24 Pete is in charge of providing food for 2 killer whales at a large zoo. He records the amount of food that the whales consume each day for a week in a chart. MA.E.1.3.1 Day Food (kilograms) 1 2 3 4 5 6 7 132 145 141 136 135 140 137 Food (kg) Part A Make a line graph of the data. Amount of Food Consumed 165 150 135 120 105 90 75 60 45 30 15 0 1 2 3 4 5 6 7 Day Copyright © Glencoe/McGraw-Hill Part B A box-and-whisker plot of the 137 141 145 135 above data is shown. Explain 132 the similarities and differences 130 135 140 145 in interpreting the chart, the line graph, and the box-and-whisker plot. Include statements about measures of central tendency in your explanation. Sample answer: I can tell from the chart that the whales eat from 132 to 145 kilograms of food per day, and I can order the data and find that the median is 137 and the mean is 138 kilograms. I can also see that there is no mode. I can make the same observations from the line graph, but additionally I can visualize the trend of the whales’ eating habits through the week. The box-and-whisker plot instantly gives me the range and median, and I can see that half of the daily values are between 135 and 141 kilograms. However, I cannot obtain any information about mean or mode from this plot. Go on 102 FCAT Test Prep, Grade 8 Name Date Test Practice Sample Test (continued) Read each question and choose the best answer. Then write the letter for the answer you have chosen in the blank at the right of each question. 25 25 Mr. Howitt is going to distribute 32 feet of string to each of 16 students in his art class. How many feet of string will he distribute in all? MA.A.3.3.3 60 0 1 2 3 4 5 6 7 8 9 26 Label the coordinates of A, and plot and label B so that AB is perpendicular to the y-axis with a length of 6 units. Then name the quadrants that contain A and B. MA.C.3.3.2 Copyright © Glencoe/McGraw-Hill A is in Quadrant II, and B is in Quadrant I. 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 y B(1, 4) A(5, 4) x O 27 Manuel divides a positive integer, x, by a negative integer, y, to get a negative decimal number. What must be true of the two integers? MA.A.3.3.1 F The absolute value of x is greater than the absolute value of y. G The absolute value of y is greater than the absolute value of x. H x and y do not have any digits in common. I x is not evenly divisible by y. 27 I 28 A particular brand of automotive tire lasts up to 42 months. Which length of time is not within the lifespan of this tire? MA.D.2.3.2 A 0.5 year B 1.75 years C 3.25 years D 3.75 years 28 D Go on FCAT Test Prep, Grade 8 103 Name Date Test Practice Sample Test (continued) Read each question and choose the best answer. Then write the letter for the answer you have chosen in the blank at the right of each question. 29 The graph represents the solution set of which scenario? MA.D.2.3.1 1 F G H I 30 2 3 4 5 6 7 8 29 F 31 B 9 10 11 12 13 14 15 April plants a 2-inch-tall plant that grows to be 14 inches tall. Billy spends 2 hours or more studying for his exam. Claude is older than 2 years and younger than 14 years. Diana dances more than 2 times but no more than 14 times. Construct AºBºCºDºEº so that it is congruent to ABCDE with Aº(3, 5) and with all points in Quadrant I such that no point is more than 7 units away from the x-axis. MA.C.2.3.1 B y B C A D E E C A D x O Part B Is AºBºCºDºEº a translation, rotation, reflection, or dilation of ABCDE? Choose one transformation and give any numeric details about how the figure is transformed in your answer. AºBºCºDºEº is a translation 10 units to the right of ABCDE. 31 Which equation expresses the number of lines, û, determined by the number of squares, s? MA.D.1.3.1 A û = 4s C û = 3s + 1 B û=s+3 D û = 4s – 1 Go on 104 FCAT Test Prep, Grade 8 Copyright © Glencoe/McGraw-Hill Part A Is AºBºCºDºEº ~ ABCDE? If so, state the scale factor. If not, explain. They are similar with a scale factor of 1. Name Date Test Practice Sample Test (continued) Read each question and choose the best answer. Then write the letter for the answer you have chosen in the blank at the right of each question. 32 The diagram of an L-shaped desk is shown. What is the actual measure of the indicated side in feet? MA.B.1.3.4 32 1 cm 3 ft 2.25 cm Copyright © Glencoe/McGraw-Hill 33 6 . 75 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 A penny is about 0.75 inch in diameter, and a stack of 18 pennies measures about 1 inch high. Charity has a container in the shape of a rectangular prism that is completely full of pennies she has saved over the years. The container has dimensions 18 inches by 12 inches by 24 inches. ESTIMATE the number of pennies Charity has in the container. Explain the techniques that you use. MA.A.4.3.1 Sample answer: First estimate the volume of the container to be 20 ≈ 10 ≈ 25, or about 5,000 cubic inches. Next, round 0.75 inch to 1 inch and 18 pennies to 20 pennies to estimate the volume of a stack of 20 pennies to be 1 ≈ 1 ≈ 1, or about 1 cubic inch. Multiply 5,000 by 20 to estimate a total of 100,000 pennies in the container. 34 Yvonne makes $400 a month working part-time, and each month she has to spend $45 for her cell phone. Which linear expression models the amount of money Yvonne can save up over m months if she keeps her additional monthly spending to $50 a month? MA.D.2.3.1 F (400 – 95)m G 95m + 400 H 95m – 400 I 95m – 50 34 F 35 Which type of tessellation is shown? MA.C.2.3.2 A rotation B translation C reflection D dilation 35 B Go on FCAT Test Prep, Grade 8 105 Name Date Test Practice Sample Test (continued) Read each question and choose the best answer. Then write the letter for the answer you have chosen in the blank at the right of each question. Geena is carpeting two bedrooms with dimensions of 12 feet by 18 feet and 10 feet by 11 feet. How many square feet of carpet will she need? MA.B.1.3.1 36 326 0 1 2 3 4 5 6 7 8 9 37 The ring sizes of 12 students are displayed in the chart. Which type of graph is the most appropriate to display this data? MA.E.1.3.1 F histogram G bar graph H scatter plot I line graph Ring Size 5–5.5 6–6.5 7–7.5 8–8.5 Number of Students with Ring Size 2 4 5 1 38 Veronica studies her phone bills over the past few months and finds that 20% of her phone calls lasted for over an hour. If her friend Bette calls her one evening, what are the odds in favor of this phone call lasting for over an hour? MA.E.2.3.2 A 1 to 20 B 1 to 10 C 1 to 5 D 1 to 4 106 FCAT Test Prep, Grade 8 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 37 F 38 D 0 1 2 3 4 5 6 7 8 9 Go on 0 1 2 3 4 5 6 7 8 9 Copyright © Glencoe/McGraw-Hill 36 Name Date Test Practice Sample Test (continued) Read each question and choose the best answer. Then write the letter for the answer you have chosen in the blank at the right of each question. 39 Ms. Page is planning an eighth grade class trip to the Olustee Battlefield State Historic Site. She wants to know how many students are interested in going. Which is her best course of action? MA.E.3.3.1 F Poll every fifth student who walks into school in the morning. G Ask students in each social studies class. H Ask all eighth-grade teachers to poll their students throughout the day. I Post a sign-up sheet outside her room and announce over the intercom that all eighth-graders who are interested in the trip should sign this sheet. Copyright © Glencoe/McGraw-Hill 40 The highest point in Florida is 3.45 ≈ 102 feet above sea level. The highest point in Alaska is about 2.03 ≈ 104 feet above sea level. What is the difference between these two heights in feet? MA.A.2.3.1 41 When a negative number between –1 and 0 is multiplied by a positive number between 0 and 1, which type of number is the result? MA.A.3.3.1 A a negative integer B a positive integer C a negative fraction D a positive fraction 42 39 I 40 1 9955 0 1 2 3 4 5 6 7 8 9 41 Fidel travels from a cove to an inlet by speedboat in 45 minutes. If he travels at a constant speed of 22 miles per hour, explain in words how to determine the distance between the cove and the inlet. MA.B.1.3.2 I need to find how far Fidel travels in 45 minutes if he is going 22 miles per hour. 45 minutes is 2 an hour, so I multiply 2 by 22 to get 16.5 miles as the distance between the cove and the inlet. 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 C Go on FCAT Test Prep, Grade 8 107 Name Date Test Practice Sample Test (continued) Read each question and choose the best answer. Then write the letter for the answer you have chosen in the blank at the right of each question. How can you express the percent of ice in the drink as a fraction in simplest form? MA.A.1.3.4 43 9/20 45% ice 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 44 Xiaoshun jogs 29 minutes a day 3 days a week for 5 weeks. How many hours does he jog during this period of time? MA.B.2.3.2 F 6.5 G 6.74 H 7.25 I 15 44 H 45 The shoe sizes of eight dance team members are 5, 6.5, 7, 6, 7.5, 8, 6.5, and 7. Which is a true statement about this data set? MA.E.1.3.2 A The median is a whole number. B The range is less than 3. C The mean is a value in the set. D There are 2 modes. 45 D 46 The path of a billiard ball is shown. What is the name of the angle pair at the indicated point where the ball hits the end board? MA.C.1.3.1 F vertical angles G complementary angles H supplementary angles. I congruent angles 46 H 108 FCAT Test Prep, Grade 8 0 1 2 3 4 5 6 7 8 9 1 angle pair 2 Go on 0 1 2 3 4 5 6 7 8 9 Copyright © Glencoe/McGraw-Hill 43 Name Date Test Practice Sample Test (continued) Copyright © Glencoe/McGraw-Hill Read each question and choose the best answer. Then write the letter for the answer you have chosen in the blank at the right of each question. 47 Luis leaves his home at 4 P.M. and drives 136.5 miles to his brother’s house in Lighthouse Point. If he drives at an average of 42 miles per hour, what time will it be when he arrives? MA.A.3.3.3 A 7:00 P.M. C 7:15 P.M. C 7:25 P.M. D 7:30 P.M. 47 C 48 Rhonda is going to draw a scale model of a courthouse for her social studies project. The actual building measures 12.6 meters high, and the building measures 4.2 inches tall in her drawing. What scale does she use? MA.B.1.3.4 F 1 inch = 3 meters G 2 inches = 8 meters H 3 inches = 10 meters I 4 inches = 11 meters 48 F 49 A statistician reports that 4% of all people are redheads. If this is true, what are the odds against randomly meeting one redhead in a school of 875 students? MA.E.2.3.2 A 24 to 1 B 4 to 1 C 219 to 1 D 96 to 1 49 A 50 Which line segment has a midpoint at the origin? MA.C.3.3.2 y y F G D 50 G A B x O x O C H I y E y G O x O x F Go on H FCAT Test Prep, Grade 8 109

© Copyright 2019