NEVMAT 04A Sample Test for the Nevada High School Proficiency Examination in Mathematics Test 4A © Clark County School District 2001 June 2001 Formula Sheet Formula Sheet Note to Student: Student:You Youmay may use these formulas throughout this entire Note to use these formulas throughout this entire test. test. Feel Feel free to to flip flip back backto tothis thisFormula FormulaSheet Sheet needed during your testing time. free asas needed during your testing time. Rectangle w Perimeter Area Triangle l p = 2l + 2w or p = 2(l + w) Area A=lw h A= b 1 bh 2 Pythagorean Theorem a + b =c 2 2 Pythagorean Theorem b b b Rectangular Solid h A=bh Volume Circle • r • d C =2 r Circumference Area A = r or C= d 2 w l V =lwh Surface Area SA = 2lw + 2lh + 2hw r Cylinder Cone • h h r Volume V = r 2h Trapezoid c a h Parallelogram Area c a 2 b1 h b2 1 Area = h(b1 + b2 ) 2 Volume V = 1 2 r h 3 Other Necessary Information 1 quart ≈ 0.95 liters 1 pound ≈ 0.45 kilograms 1 inch ≈ 2.54 centimeters 9 o F = C + 32 5 5 o C = (F − 32 ) 9 (This sheet is for the 1998 Series of tests -- 2001-2002 School Year) Determine the best answer to each question. Indicate the letter on your answer sheet. 1. The average distance from the Earth to the sun is 93 million miles. Which of the following expresses that distance in scientific notation? A. B. C. D. E. 2. You are organizing a school picnic and want to buy enough juice boxes so that each of the 187 students will have one box of juice. If juice boxes are sold only in full cases containing 15 juice boxes, what is the smallest number of cases you can buy in order to have enough for the picnic? A. B. C. D. E. 3. 93 ×107 miles 9.3 × 107 miles 0.93 ×107 miles 9.3 × 106 miles 93.0 ×10 6 miles 13 12.5 12 13.5 11.5 1 3 -inch wrench is too big, but the -inch 2 8 wrench is too small for the bolt you need to unscrew. Which of the following wrenches might work better? While repairing your automobile, you find that the A. 5 C. 7 32 - inch B. 516 -inch 32 -inch D. 716 -inch E. 9 32 -inch 4. For what value of x is 46 = 8 x A. B. C. D. E. 1 2 3 4 5 Proficiency Practice Test 4A June 2001 Page 1 5. Mike won a CD worth $20.00. He already had a copy of the CD and sold the new one at a yard sale for $8.00. What percent discount did the buyer receive? A. B. C. D. E. 6. Maria invested $2500.00 in the stock market. She lost 50% of her investment during the first month. After making changes, she reinvested what was left of her original investment and saw a gain of 50%. How much money did she have in the stock market at this point? A. B. C. D. E. 7. $1250.00 $1875.00 $2500.00 $2550.00 $2875.00 Determine which of the following graphs represents a function? A. B. C. D. E. 8. 20% 40% 60% 80% 100% I only I. II only I and III only III only All three graphs represent functions. II. III. How many values of x will make the equation y = 4x − 6 true? A. B. C. D. E. no values one value two values three values more than three values Proficiency Practice Test 4A June 2001 Page 2 9. What is the solution to the equations represented by the graph below? A. B. C. D. E. 10. (0, 2) (-2, 0) (2, 2) (2, -2) (0, -2) The owner of a shoe store recorded the following information from last week: Number of Customers (c) Amount of Sales (s) 15 $80 22 $115 30 $155 28 $145 43 $220 71 $360 55 $280 According to information in the table, which equation describes the relationship between the number of customers (c) and the amount of sales (s)? A. B. C. D. E. 11. Find the ratio of the areas of two circles if their radii are 2 units and 3 units. A. B. C. D. E. 12. s = 5c + 5 s = 18c s = 5c s = 15c + 10 s = 3c + 11 2:3 4:6 4:9 6:9 8:9 2 units 3 units Ivan jogged eight miles in one hour. How long would it take him to walk the same distance if he walked at a rate of four miles per hour? A. B. C. D. E. 1 hour 2 hours 2.5 hours 3 hours 4 hours Proficiency Practice Test 4A June 2001 Page 3 13. Two cars are 500 miles apart. Both start driving at the same time traveling towards one another. They meet after four hours. If the speed of one car is 25 miles per hour faster than the other car, what is the speed of the faster car? A. B. C. D. E. 14. Ray C. Driver was fined $20.00 plus $4.00 for every mile per hour over the speed limit of 55 mph he was driving. If his fine was $76.00, how fast was Ray driving? A. B. C. D. E. 15. 69 mph 74 mph 76 mph 78 mph 102 mph The measurement of a box is given as 60 cubic centimeters. This is the measure of the ? of the box. A. B. C. D. E. 16. 50 mph 65 mph 70 mph 75 mph 80 mph surface area volume length width mass The diameter of a full-sized automobile steering wheel is about ? . A. B. C. D. E. 3.5 cm 35 cm 350 cm 3,500 cm 35,000 cm Proficiency Practice Test 4A June 2001 Page 4 17. The radius of the tire on Pedro’s bicycle is 13 inches. What is the approximate circumference of the tire? A. B. C. D. E. 18. In the graduated cylinder below, each mark (gradient) is 25 ml of liquid. If a liquid level is half way between the fourth and fifth mark from the bottom, about how much liquid is in the cylinder? A. B. C. D. E. 19. 13 inches 26 inches 39 inches 52 inches 78 inches 4.5 ml 25 ml 100 ml 112 ml 125 ml A friend asks you to help her find out how much paint she needs to paint her house. She says that each one gallon of paint covers about 400 square feet of area. Her four-sided house is 8 feet tall and each side is 20 yards long. How many gallons of paint should your friend buy? A. B. C. D. E. 3 gallons 5 gallons 7 gallons 9 gallons 11 gallons Proficiency Practice Test 4A June 2001 Page 5 20. Which line segment in the diagram appears to have a slope of zero? A. B. C. D. E. 21. Segment AB Segment CD Segment EF Segment GH None of the above. If the radius of a circle is 3m, what is the circumference of the circle in meters? A. 3π B. 6π C. 9π D. 12π E. 15π 22. What is the sum of the interior angles of the figure below? A. B. C. D. E. 23. 360° 540° 720° 900° 1080° How can you determine algebraically if (2,3) is a solution to the equation y = 2x – 1? A. B. C. D. E. Substitute 2 for y and 3 for x and see if both sides are equal. Substitute 2 for x and 3 for y and see if both sides are equal. Substitute 2 for x and y and see if both sides are equal. Substitute 3 for x and y and see if both sides are equal. None of the above. Proficiency Practice Test 4A June 2001 Page 6 24. This graph represents the amount of scrap aluminum recycled by 5 boys. Which boy graphically represents the median of this data? Scrap Aluminum 90 80 p o u n d s 70 60 50 40 30 20 10 0 Joe Sam Bob Jim Ed names A. B. C. D. E. 25. Joe Sam Bob Jim Ed The weekly wages of 10 students working part time are as follows: $35, $40, $34, $75, $36, $39, $41, $38, $42, $37 Which of the following best represents the typical wage? A. B. C. D. E. 26. mean median mode range None of these. Susan has 4 orange, 3 yellow, 5 blue, and 2 green markers. If she reaches in her desk drawer without looking, what is the probability of grabbing a blue or yellow marker? A. B. C. D. E. 5/14 6/14 7/14 8/14 9/14 Proficiency Practice Test 4A June 2001 Page 7 27. What is the probability of the spinner stopping on an even or a prime number? A. B. C. D. E. 28. 1 8 1 2 5 8 3 4 7 8 7 9 2 5 8 3 11 15 Two number cubes (#1-#6) are rolled. What is the probability that the sum of the numbers rolled is a 5 or an 11? A. B. C. D. E. 1 6 2 9 1 3 5 11 5 6 Proficiency Practice Test 4A June 2001 Page 8 29. This graph represents employment in a variety of businesses. What is the mean of the number of people employed by the four largest jobs? EMPLOYMENT Delivery Services Warehouses Farms Retail Stores Bakeries Auto Factory 0 20 40 60 80 100 120 140 160 180 200 220 240 260 280 300 320 340 360 Number of People A. 1560 people B. 1180 people C. 295 people D. 260 people E. 160 people 30. On his first three tests, Kurt scored 75, 82, and 84. What must his score be on the fourth test for his mean score to be 85? A. B. C. D. E. 46 24 89 99 109 Proficiency Practice Test 4A June 2001 Page 9 Answer Key -- Proficiency Practice Tests 4A and 4B Proficiency Practice Test – 4A 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 13. 14. 15. B - Numbers - Concept A - Numbers - Concept D - Numbers - Procedure D - Numbers - Concept C - Numbers - Problem Solving B - Numbers - Problem Solving C - Algebra - Concept E - Algebra - Concept A - Algebra - Concept A - Algebra - Procedure C - Algebra - Procedure B - Algebra - Problem Solving D - Algebra - Problem Solving A - Algebra - Problem Solving B - Measurement - Concept 16. 17. 18. 19. 20. 21. 22. 23. 24. 25. 26. 27. 28. 29. 30. B - Measurement - Concept E - Measurement - Procedure D - Measurement - Procedure B - Measurement - Problem Solving C - Geometry - Concept B - Geometry - Procedure E - Geometry - Procedure B - Geometry - Procedure B - Data - Concept B - Data - Concept D - Data - Procedure D - Data - Procedure A - Data - Procedure C - Data - Problem Solving D - Data - Problem Solving 16. 17. 18. 19. 20. 21. 22. 23. 24. 25. 26. 27. 28. 29. 30. B - Geometry - Concept B - Geometry - Concept D - Geometry - Concept A - Geometry – Problem Solving D - Geometry – Problem Solving E - Geometry – Problem Solving B - Geometry – Problem Solving D - Data - Concept E - Data - Concept C - Data - Concept C - Data - Procedure E - Data – Problem Solving A - Data – Problem Solving C - Data - Problem Solving D - Data - Problem Solving Proficiency Practice Test - 4B 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 13. 14. 15. C - Numbers - Concept C - Numbers - Concept B - Numbers - Procedure E - Numbers - Procedure B - Numbers - Problem Solving D - Numbers - Problem Solving D - Algebra - Concept A - Algebra - Concept B - Algebra - Procedure D - Algebra – Problem Solving B – Measurement - Concept C - Measurement - Concept D - Measurement - Problem Solving B - Measurement – Problem Solving B - Measurement – Problem Solving Revised Sept. 27th, 2001

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