2 3 NTK PUBLISHING LIMITED CONTENTS NTK Publishing Limited is a subsidiary company of NTK Academic Group, a leading educational service provider in Southeast Asia since 1996. With more than 80 full-time teachers and over 20,000 former and current students who have gained acceptance to top schools and universities worldwide under the expert guidance of our faculty, NTK Academic Group is in the distinctive position to oversee the publication of high-quality, international exam-oriented study guides. ADVANCING FROM IBMYP TO IBDP Since the publication of our first study guide in 2006, NTK Publishing Limited has grown to be a competitive force in international textbook markets. Our products include IBMYP, IBDP, IGCSE, GMAT®, SSAT, SAT® Reasoning and SAT Subject Test™ study guides. With more than 25 publications to date, we are determined to evolve and expand while staying current with the latest curriculum changes and the needs of students and teachers. Our study guides have helped countless students achieve academic success. With talented publishing professionals, as well as a host of skilled content writers in different subject areas, NTK is a rising name in the publishing world. IBMYP Mathematics Study Guide Level 3 New p.4 IBMYP Mathematics Study Guide Level 4 New p.4 IBMYP Mathematics Study Guide Level 5 p.4 IBMYP Chinese A Creative Writing Study Guide Forthcoming p.5 IBDP Chinese B Writing Study Guide New p.6 IBDP Chinese Language B Study Guide p.7 IBDP Physics Study Guide p.8 IBDP Chemistry Study Guide p.9 IBDP Mathematics Study Guide Forthcoming p.10 IBDP Biology Study Guide Forthcoming p.11 ACHIEVING TOP SCORES IN US EXAMS SAT® Study Guide for Critical Reading and Writing p.12 Perfect Score – SAT® Critical Reading and Writing p.13 SAT® Reasoning Test Math Study Guide p.14 SAT® Math Level II Study Guide p.15 SAT Subject Test™ Chemistry Study Guide p.16 SAT Subject Test™ Biology E/M Study Guide p.17 SAT Subject Test™ Chinese Study Guide p.18 SSAT Study Guide for Writing, Reading Comprehension, and Verbal New p.19 SSAT Math Study Guide p.20 LEADING THE WAY TO SUCCESS IN UK EXAMS IGCSE Biology Study Guide New p.21 IGCSE Economics Study Guide p.22 IGCSE Mathematics Study Guide New p.23 GATEWAY TO THE MBA GMAT® Companion – Data Sufficiency & Problem Solving p.24 4 Advancing from IBMYP to IBDP New Advancing from IBMYP to IBDP New Forthcoming ISBN: 9789881899040 ISBN: 9789881899071 ISBN: 9789881555472 ISBN: 9789881555519 Closely aligned with the latest IBMYP Mathematics curriculum Prepares students for success in the IBDP Chinese A exam Concise explanations of mathematical theories Introduces 11 text types with annotated essays Detailed examples with full answers Useful vocabulary and expressions provided Progressive level of difficulty from Levels 3 to 5 Extended level topics (in Levels 4 & 5) to prepare students for IBDP Mathematics studies ‘Fun fact’ introduces students to relevant facts to stimulate interest in learning mathematics ‘Example’ gives full illustrations to various questions Introduction to the text type Annotated sample essay followed by useful vocabulary and expressions 5 6 Advancing from IBMYP to IBDP Advancing from IBMYP to IBDP New New ISBN: 9789881555502 ISBN: 9789889883195 ISBN: 9789881555540 ISBN: 9789881899019 Available in traditional and simplified Chinese characters Various writing formats with sample essays 50 exam-oriented sample essays with detailed analysis covering core and option topics Real-life scenarios used in reading, writing and oral sections Useful vocabulary and practical grammar rules on all exam areas Mock exam with suggested answers based on past IB exams 6 Practice Exams (3 SL & 3 HL) Clear demonstration of wide-ranging text type formats ‘Text type introduction’ explains the purpose and features of the text type ‘Format’ followed by ‘Sample essay’ reinforces students’ understanding Text type and question format closely follow the actual reading exam Writing Formats and Sample Essays 㧋ゞ Format IBDP Study Guide Chinese B Writing 㜖汣⁚仈 梊ⳟ抄₅㒖ℎ䚷冔Ὶ朢憩懝‡凾佁䠋⎉㎥㛅⎿䠓ⅰ₅Ҹ ⵓ₅⁉蛆ŹŹŹŁŦŮŢŪŭįŤŰŮ 㛅₅⁉蛆źźźŁŦŮŢŪŭįŤŰŮ Ὴ槛蛆řřřřřřřř 㝴㢮蛆ř〃ř㢗ř㝴ġ 㞮㢮řġ ᾙⓗġř蛆ř E-mail 2ġ 梊ⳟ抄₅ 㛻䠓㦰朆蚻冐⾺蛆 E-mail 嬹㊪䠓䏇䏇蚻冐⾺蚻姷⭟蚻㞝蛆 梊ⳟ抄₅䠓⽵ᾙ㝈ㅔ榗㮨㞝⁴ᾚ⡪↚㝈棱蛆ġ Ȥġ ⵓ₅⁉梊抄 Ȥġ 㛅₅⁉梊抄 梊 ⳟ 抄 ₅ Ȥġ Ὴ槛 Ȥġ 㝴㢮蚴〃㢗㝴蚻㞮㢮蚻⌆汣㟑朢蚵 Ĳҷ㈷⬌蚻⃯⬌蚻⃯↠⬌蚭⬌ᾜ嬚―蚭㎠棭⿇㊂ㆄ⃯蚸㢏慠ᾏ⎖抌⬌❝蛋 Ĵҷ㈷⬌蚻⃯⬌蚻⃯↠⬌蚭⃯䠓抄₅㎠ᾙ↚㞮㢮ⷀ㛅⎿―蚸⃕㞾㎠㢏慠ㄗㅨ蚸⎿䖍⢷㏜ 㢘䰉⡭抄₅蚸䢮ᾜ弆蚭⃯⢷抄₅㕟⎿ʫʫ ĵҷ⃯⬌蚻⃯↠⬌蚭ㄗ汧厗㛅⎿⃯䠓抄₅Ҹ⃯⢷抄₅ᾼ㕟⎿ʫʫ 梊ⳟ抄₅䠓㳲㜖☛ᾏ去䠓㢇ⅰ㧋ゞᾏ㮲Ҹ 㳲㜖 2 E-mail Text type introduction An e-mail is a letter exchanged between users via the Internet. 梊 ⳟ 抄 ₅ ĳҷ㈷⬌蚻⃯⬌蚻⃯↠⬌蚭ㄗ㸡㢘㛅⎿⃯䠓抄₅―蚸ㄗ㞾㔪ㆄҸ Ĳҷ⬌―蚸ᾜ⪩尹―蚸㎠嬐⃫㫼―蚭㢮ㄔ⃯䠓⡭嬕Ҹ ĳҷ⾛㢪㎠䠓㊞嬚⃯㢘䚷蚸䳘嗦蚻㢮ㄔ⃯䠓⡭嬕Ҹ Ĵҷ㝋憨₅‚⃯㢘⁏灋䢚㹤◱蛋㎠ㄗ⾛㢪刌刌⃯䠓㊞嬚Ҹ In writing an e-mail, the top left of the message should contain the following information: ĵҷ䫬⃯↠劌⪯㝸㝴ㇱㄸ㳲⿇䚮㻊Ҹ • Sender’s e-mail address • Recipient’s e-mail address • Subject ġ ġ 䫬 • Date (date - month - year / day / time) 䚮㻊㊘ㅺ蚸ⴇ㫼懁㳴蚭蚻 The format of an e-mail is the same as that of a letter. 㝸㝴うㄸ蚭 怺汣⇴う蚸⽴⃫榕⎸蚭蚻 ⋡ⳟ蚻㢚╚蚻ⴇ䚮 ▜⳦蚴ᾜ嬐⭢蚵 13 12 7 8 Advancing from IBMYP to IBDP ISBN: 9789889883171 ISBN: 9789881899064 Precise and clear contents to minimise preparation time for the examination Contents written according to the latest IBDP syllabus Examples and sample questions with detailed solutions in each chapter 3 Practice Exams (HL) with detailed explanations Simple diagrams to illustrate difficult concepts Advancing from IBMYP to IBDP Closely follows the IBDP syllabus Covers both Standard and Higher Levels Examples commonly found in past exam papers 2 Practice Exams (1 SL & 1 HL) with detailed explanations Precise contents with full illustrations to facilitate revision ‘Example’ features questions that frequently appear in past exam papers Covers both standard and higher levels 9 10 Advancing from IBMYP to IBDP Advancing from IBMYP to IBDP 11 Forthcoming Forthcoming Forthcoming Practice P ractice test test iincluded ncluded Standard & Higher Level ISBN: 9789881555403 ISBN: 9789881555489 ISBN: 9789881555441 Covers topics in the IBDP Math SL & HL syllabus, including Algebra, Functions and Equations, Circular Functions and Trigonometry, Vectors, Statistics and Probability, and Calculus Concise explanations of key terms and concepts Exam tip highlights important problem-solving techniques required in the exam Hundreds of examples with fully worked out solutions Definition list summarises key terms in each chapter Practice tests and hundreds of warm-up and exam practice questions with answers provided for self-checking Step by step annotations ‘Exam tip’ offers useful hints and pointers to enhance exam success End-of-chapter exercise with answers provided ‘Common mistake’ helps students avoid making common errors in the exam ‘Aim’ and ‘Nature of science’ help students fulfil the specific requirements in these two areas of the syllabus Paper 2 () Show that g x = 1 . x 2 − 25 () 1 Let f x = Example 4-8 1− x is the inverse function of f x = 1 − 2 x . 2 Solution () Let g x = 2 x − 1. ( b Show that g f A geometric Replace x by 1 − 2x in the equation for g( x ) sequence is a sequence of numbers in which the ratio of any two 2 )( x ) = ( )( ) − 1 and f g x = 2 x − 25 ( c Find the set of values for which g f consecutive terms is always the same. The formula for the nth term is: 2 2x 2 =x 2.2 Geometric sequences and series Chapter 1 There is an ethical dilemma of stem cell research: embryonic stem cells have the greatest potential in differentiating into almost every type of tissue, which can be manipulated in therapeutic cloning. But with the current technology, embryonic stem cells can only be obtained by destroying early-stage embryos. a Write down the domain and range of f x . Geometric sequences ( g f )( x ) = g (1 2x ) 1 (1 2x ) = AIM () () 1 2 ( x + 2)( x − 3) Therapeutic cloning is an ideal way to solve problems where patients are in need of organ transplants. Organs created this way will not trigger immunological rejection and patients no longer need to wait for donated organs. Therapeutic cloning involves the fusion of an enucleated (nucleus removed) egg with a somatic (body cells except sex cells) nucleus and the extraction of inner cell mass of the embryo. . )( x ) ≤ ( f g )( x ). Egg cell Reproduction — Producing offspring is one of the major features of living cells. Experiments showed that cells could not be produced in a lifeless environment. Therefore, it is reasonable to conclude that cells come from pre-existing cells. Remove nucleus Paramecium, a unicellular organism, shows the features of life. The following diagram shows the structures of Paramecium. = Also ( ( )) f g x = f un = u1r n−1 1 x 2 =1 2 =1 where un is the nth term of the geometric sequence ( () (1 x ) ( th For the geometric sequence 3, 12, 48,… , find the n term and the first term that exceeds 1000. )( x ) = x and ( f g )( x ) = x, g is the inverse of f. Solution () Find the inverse function of f x = x +1 . x Given that u1 = 3, r = y= Let y = f ( x ) () ∴ un = 3 4 Solution For x +1 x () 34 Swap x and y ( xy = y + 1 xy − y = 1 ( ) y x −1 =1 Make y the new subject y= Replace y by f −1 ( x ) f −1 x = () 1 x −1 ( f f )( x ) = f −1 () f −1 x = ( x ) = x and ( f 3 3 () y =careful f x .when dividing 1 Let Be by logarithms as they can 2 Swap be xnegative. and y. In this case, the inequality sign will 3 Make y the subject. flip when you divide by the logarithm. y by f −1 Itxwas . fine 4 Replace in Example 2-5 because log 4 is positive. > 1000 () 1000 4 > 3 1000 n − 1 log 4 > log 3 1000 log 3 +1 n> log 4 n > 5.19 ) −1 f )( x ) = 3 () Micronucleus Pellicle COMMON MISTAKE • Early stage embryos are just simply a ball of cells that have not developed the essential feature of a human being. • Food vacuole contains nutrients which are engulfed from the surroundings. • Not until day 14 will the nervous system of embryos be developed; embryos should not experience pain. • The nucleus contains genetic information which controls cell’s activities. The genetic information will also be passed to the next generation after cell division. • Large number of embryos was produced in in vitro fertilization (IVF) which they were not given the chance of life. It would be better to use the stem cell for research so to save lives rather than killing the embryos. Many students confuse the notation f −1 with the reciprocal of a number. 1 1 E.g. 10−1 = , a−1 = . 10 a • Contractile vacuole pumps excess water out of the cell when Paramecium lives in freshwater environment. Against: • Cytoplasm contains enzymes to carry out chemical reactions. • Embryos have the potential to develop into human beings; their chance to live should not be taken away from anyone. • Cell membrane is selectively permeable which controls substances moving in or out of cells so it helps the cell excretes metabolic wastes. • The embryo should be protected from the stage of fertilization onwards and being treated as a human being. The inverse of a function has nothing to do with this. You can help yourself by pronouncing f −1 correctly – it’s “f inverse”, not “f to the negative one”. It is still controversial that whether human beings have the right to destroy embryos and use them in developing a mature technique for therapeutic cloning. DEFINITION LIST • Stem cells are undifferentiated cells that are capable to replicate to produce new genetically identical cells. NATURE OF SCIENCE Exceptions are possible even if most organisms comply with the cell theory, with regard to the patterns and dissimilarities observed. • Osmosis is the passive movement of water molecules, across a selectively permeable membrane, from a region of low solute concentration to a region of a high solute concentration. 6−1 Nuclei • Osmolarity is the concentration of solute of a solution. • Amphipathic properties refers to a compound has both hydrophilic and hydrophobic properties. • Chromosome is condensed, visible structure of genetic materials that appears during mitosis of cell cycle. Chapter 4 Introduction to functions 41 • Chromatin is invisible, loosely packed structure of genetic materials that appears during interphase of cell cycle. • Oncogene is a mutated proto-oncogene that can cause cancer. 43 Muscle fibre 6 Figure 1.5 Striated muscle fibres in skeletal muscles (x400) 18 Algebra Anal pore Figure 1.4 Structures of Paramecium For: • Diffusion is the passive movement of particles from a region of high concentration to a region of a low concentration. Introduction to functions Cilium (plural: cilia) Posterior contractile vacuole Several counter-arguments are made on stem cell research: = 3072 Chapter 4 Food vacuole Macronucleus Pancreatic insulinproducing cells x 3 = x. () 1 x −1 Anterior contractile vacuole Extract inner mass Cultured pluripotent stem cells () following steps: EXAM TIP Thus, the required term is u6 = 3 4 Blastocyst Gullet )( x ) = x. () For example, the function f x = x 3 has an inverse function f −1 x = 3 x because () 12 =4 3 n −1 n−1 y +1 x= y Skin cell 8-cell stage () To find the inverse function f −1 x of a given function y = f x , we perform the un > 1000 n−1 )( ) ( Hence, by definition, f f −1 x = f −1 f Example 2-5 Example 4-9 () Somatic cell nuclear transfer identity function I x = x . The inverse function of f x is usually denoted by f −1 x . r is the common ratio =x As both g f An inverse function performs the reverse operation of function f. If we composite a function with its inverse, regardless of the order of composition, the result will be the u1 is the first term of the geometric sequence 1 x 2 Fusion 4.3 Inverse functions Cell biology Homeostasis — A stable environment is important to the growth of a cell. For example, cells have to pump excess water away when they live in a freshwater environment, otherwise excess water uptake may cause the cell to burst. Exceptions to cell theory Cells contain sub-cellular structures which are enclosed by a cell membrane. This helps cells to maintain a specific set of conditions to perform specific reactions inside the cell. Cells also contain genetic information for cells’ functions. However, there are exceptions that do not follow this cell theory’s statement: Striated muscle fibre — Striated muscle fibres (Figure 1.5) are cells that are responsible for the movement of humans. They are different from other cells that they contain more than one nucleus in the cytoplasm. Aseptate fungal hyphae — Fungal hyphae are thread-like structures that are composed of fungal cells. However, the fungal cells in the aseptate fungal hyphae (Figure 1.6) merge to share the sub-cellular contents such as the cytoplasm and nuclei. So the cells are not divided by the cell membrane as well as cell wall in the hyphae. Cell membrane Vacuole Nucleus Cell wall Figure 1.6 A diagram showing an aseptate fungal hypha Giant algae — As with its name, the size of giant algae is bigger than a normal cell, which the size is around 100 μm to 1 mm long. However, the giant algae can grow to a size as big as 100 mm. 3 12 Achieving top scores in US exams ISBN: 9789881555434 Challenging exercises that test students’ reading comprehension, vocabulary, and writing skills Comprehensive SAT style writing and critical reading practice questions and exercises ® A collection of 50 thought-provoking and amusing short stories, flash fiction passages, and poetry inspired by 1,500 of the most commonly tested SAT® vocabulary words High scoring sample student essays Detailed answer key that encourages self-assessment and improvement Written by Ivy League experts in test preparation A strong focus on SAT® -oriented grammar Achieving top scores in US exams ISBN: 9789881555588 SAT® Critical Reading ISBN: 9789881555571 Advanced reading comprehension strategies for college-level academic prose Specific skills and techniques for each type of question in the reading comprehension section 8 skill-specific Practice Tests SAT® Writing In-depth writing mechanics for composing college-level essays: detailed exercises and examples of perfect sentence, paragraph, and essay structure Full-length Practice Tests An extensive glossary of the most frequently tested SAT® words in the past 10 years Advanced grammar demonstrated in the context of famous authors Advanced strategies for decoding excerpts 13 14 Achieving top scores in US exams ISBN: 9789889883126 Achieving top scores in US exams ISBN: 9789889883102 Essential examination formulae included in a formula sheet Clear and detailed examples in each section End-of-chapter exercises provided to consolidate knowledge Revision note cards on essential formulae and theories 4 challenging Practice Exams with detailed solutions Challenging practice exams designed to target high achievers Written by SAT subject test™ preparation specialists 4 Practice Exams with detailed solutions Written by SAT subject test™ preparation specialists Formula sheets for quick revision End of chapter practice questions Over 100 removable revision note cards Detailed examples with solutions 15 16 Achieving top scores in US exams Achieving top scores in US exams ISBN: 9789889883164 ISBN: 9789889883133 Self-contained and suitable content for students at any level Covers both Biology E (Ecology) and Biology M (Molecular) sections End-of-chapter questions provided to consolidate concepts Clear diagrams and flow charts for illustrating difficult concepts Practice Exams are modeled on the actual examination format End-of-chapter exercises are provided to consolidate knowledge 4 Practice Exams with detailed solutions 2 Practice Exams (E/M) with detailed solutions Written by SAT subject test preparation specialists Written by SAT subject test™ preparation specialists ™ Clear summary at the end of each chapter for consolidation Concise notes and tables to facilitate revision Clear diagrams to illustrate biology concepts 17 18 Achieving top scores in US exams Achieving top scores in US exams 19 New ISBN: 9789881899033 ISBN: 9789881555496 Detailed explanations of exam-related grammar Summary of vocabulary commonly seen on past SAT® Chinese exams Essential guide to understanding the SSAT and succeeding in the verbal, reading and writing sections Available in traditional and simplified characters Hundreds of practice questions, including an SSAT Practice Test 6 full-length Practice Exams (covering listening, usage, and reading comprehension) with detailed solutions Written by experts in US boarding school application and test preparation Written by SAT subject test™ preparation specialists Comprehensive answer key that encourages self-assessment and improvement List of vocabulary commonly seen in exams Detailed grammar explanations with examples Hundreds of challenging practice questions Essential strategies to achieve success 20 Achieving top scores in US exams Leading the way to success in UK exams New ISBN: 9789881555458 ISBN: 9789889883188 Over 160 questions arranged by topic Concise notes with clear illustrations and diagrams Excellent examination drilling materials and tips to enhance test-taking techniques Consolidation exercise at the end of each chapter Full-length practice test to familiarise students with the exam format 8 Practice Exams included (2 LL & 6 UL), closely resembling the actual SSAT Math Test Written by experts in US test preparation and boarding school application Useful information about US boarding schools Comprehensive question bank covering both upper and lower level questions Concise notes followed by consolidation exercise ‘What’s more’ introduces useful facts to enhance students’ knowledge in biology 21 22 Leading the way to success in UK exams Leading the way to success in UK exams 23 New ISBN: 9789881555410 ISBN: 9789881555526 In-depth explanations of terms and concepts In-depth explanations of terms and concepts Contextualised examples Fully worked-out examples showing possible alternative approaches Current and authentic global issues Graded difficulty questions with answers Accessible graphs and diagrams End-of-chapter questions for effective exam preparation Practical ‘Exam Tip’ and ‘Fun Fact’ provided End-of-chapter questions check students’ understanding Key concepts presented in clear diagrams to aid comprehension Clear and concise notes introduce fundamental concepts Fully worked-out examples show possible approaches Interesting facts to stimulate students’ interest in mathematics 24 Gateway to the MBA ISBN: 9789881555427 Focuses exclusively on the Quantitative section Covers all Data Sufficiency and Problem Solving question types Questions varying over a scale of difficulty More than 500 challenging questions Answers to all questions are provided for systematic self-checking Thorough practice on Data Sufficiency and Problem Solving question types

© Copyright 2018