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Cambridge University Press978-1-107-64111-2 – Cambridge Checkpoint MathematicsGreg Byrd Lynn Byrd and Chris PearceFrontmatterMore informationGreg Byrd, Lynn Byrd and Chris PearceCambridge CheckpointMathematicsCoursebook7 in this web service Cambridge University Presswww.cambridge.org

Cambridge University Press978-1-107-64111-2 – Cambridge Checkpoint MathematicsGreg Byrd Lynn Byrd and Chris PearceFrontmatterMore informationcambridge university pressCambridge, New York, Melbourne, Madrid, Cape Town,Singapore, São Paulo, Delhi, Mexico CityCambridge University PressThe Edinburgh Building, Cambridge CB2 8RU, UKwww.cambridge.orgInformation on this title: www.cambridge.org/9781107641112 Cambridge University Press 2012This publication is in copyright. Subject to statutory exceptionand to the provisions of relevant collective licensing agreements,no reproduction of any part may take place without the writtenpermission of Cambridge University Press.First published 2012Printed in India by Replika Press Pvt LtdA catalogue record for this publication is available from the British LibraryISBN 978-1-107-64111-2 PaperbackCambridge University Press has no responsibility for the persistence oraccuracy of URLs for external or third-party internet websites referred to inthis publication, and does not guarantee that any content on such websites is,or will remain, accurate or appropriate. in this web service Cambridge University Presswww.cambridge.org

Cambridge University Press978-1-107-64111-2 – Cambridge Checkpoint MathematicsGreg Byrd Lynn Byrd and Chris PearceFrontmatterMore informationIntroductionWelcome to Cambridge Checkpoint Mathematics stage 7The Cambridge Checkpoint Mathematics course covers the Cambridge Secondary 1 mathematicsframework and is divided into three stages: 7, 8 and 9. This book covers all you need to know forstage 7.There are two more books in the series to cover stages 8 and 9. Together they will give you a firmfoundation in mathematics.At the end of the year, your teacher may ask you to take a Progression test to find out how well youhave done. This book will help you to learn how to apply your mathematical knowledge to dowell in the test.The curriculum is presented in six content areas: Number Algebra Measure Handling data Geometry Problem solving.This book has 19 units, each related to one of the first five content areas. Problem solving is included inall units. There are no clear dividing lines between the five areas of mathematics; skills learned in oneunit are often used in other units.Each unit starts with an introduction, with key words listed in a blue box. This will prepare you for whatyou will learn in the unit. At the end of each unit is a summary box, to remind you what you’ve learned.Each unit is divided into several topics. Each topic has an introduction explaining the topic content,usually with worked examples. Helpful hints are given in blue rounded boxes. At the end of each topicthere is an exercise. Each unit ends with a review exercise. The questions in the exercises encourage youto apply your mathematical knowledge and develop your understanding of the subject.As well as learning mathematical skills you need to learn when and how to use them. One of the mostimportant mathematical skills you must learn is how to solve problems.When you see this symbol, it means that the question will help you to develop your problemsolving skills.During your course, you will learn a lot of facts, information and techniques. You will start to think likea mathematician. You will discuss ideas and methods with other students as well as your teacher. Thesediscussions are an important part of developing your mathematical skills and understanding.Look out for these students, who will be asking questions, making suggestions and taking part in theactivities throughout the aAhmadXavierRaziOditiHarshaTaneshaZalika3 in this web service Cambridge University Presswww.cambridge.org

Cambridge University Press978-1-107-64111-2 – Cambridge Checkpoint MathematicsGreg Byrd Lynn Byrd and Chris PearceFrontmatterMore nit 1 Integers71.1 Using negative numbers1.2 Adding and subtracting negative numbers1.3 Multiples1.4 Factors and tests for divisibility1.5 Prime numbers1.6 Squares and square rootsEnd of unit review8101112141618Unit 2 Sequences, expressions and formulae192.1 Generating sequences (1)2.2 Generating sequences (2)2.3 Representing simple functions2.4 Constructing expressions2.5 Deriving and using formulaeEnd of unit review202224262830Unit 3 Place value, ordering and rounding313.1 Understanding decimals3.2 Multiplying and dividing by 10,100 and 10003.3 Ordering decimals3.4 Rounding3.5 Adding and subtracting decimals3.6 Multiplying decimals3.7 Dividing decimals3.8 Estimating and approximatingEnd of unit review323335373840414245Unit 4 Length, mass and capacity464.1 Knowing metric units4.2 Choosing suitable units4.3 Reading scalesEnd of unit review47495052Unit 5 Angles535.1 Labelling and estimating angles5.2 Drawing and measuring angles5.3 Calculating angles5.4 Solving angle problemsEnd of unit review5456586062Unit 6 Planning and collecting data636.1 Planning to collect data6.2 Collecting data6.3 Using frequency tablesEnd of unit review64666871Unit 7 Fractions727.1 Simplifying fractions7.2 Recognising equivalent fractions,decimals and percentages7.3 Comparing fractions7.4 Improper fractions and mixed numbers7.5 Adding and subtracting fractions7.6 Finding fractions of a quantity7.7 Finding remaindersEnd of unit review73Unit 8 Symmetry868.1 Recognising and describing 2D shapesand solids8.2 Recognising line symmetry8.3 Recognising rotational symmetry8.4 Symmetry properties of triangles,special quadrilaterals and polygonsEnd of unit reviewUnit 9 Expressions and equations9.1 Collecting like terms9.2 Expanding brackets9.3 Constructing and solving equationsEnd of unit review75788081828385878991939697981001011034 in this web service Cambridge University Presswww.cambridge.org

Cambridge University Press978-1-107-64111-2 – Cambridge Checkpoint MathematicsGreg Byrd Lynn Byrd and Chris PearceFrontmatterMore informationContentsUnit 10 Averages104Unit 16 Probability15210.1 Average and range10.2 The mean10.3 Comparing distributionsEnd of unit review10510710911116.1 The probability scale16.2 Equally likely outcomes16.3 Mutually exclusive outcomes16.4 Estimating probabilitiesEnd of unit review153154156158160Unit 11 Percentages11211.1 Simple percentages11.2 Calculating percentages11.3 Comparing quantitiesEnd of unit review113115116118Unit 17 Position and movement16117.1 Reflecting shapes17.2 Rotating shapes17.3 Translating shapesEnd of unit review162164166168Unit 12 Constructions11912.1 Measuring and drawing lines12.2 Drawing perpendicular and parallel lines12.3 Constructing triangles12.4 Constructing squares, rectangles andpolygonsEnd of unit review120121122Unit 18 Area, perimeter and volume169170124127Unit 13 Graphs12813.1 Plotting coordinates13.2 Lines parallel to the axes13.3 Other straight linesEnd of unit review12913113213518.1 Converting between units for area18.2 Calculating the area and perimeterof rectangles18.3 Calculating the area and perimeterof compound shapes18.4 Calculating the volume of cuboids18.5 Calculating the surface area of cubesand cuboidsEnd of unit reviewUnit 14 Ratio and proportion13614.1 Simplifying ratios14.2 Sharing in a ratio14.3 Using direct proportionEnd of unit review171173175177179Unit 19 Interpreting and discussing results18013713814014219.1 Interpreting and drawing pictograms,bar charts, bar-line graphs andfrequency diagrams19.2 Interpreting and drawing pie charts19.3 Drawing conclusionsEnd of unit review181185187190Unit 15 Time143End of year review19115.1 The 12-hour and 24-hour clock15.2 Timetables15.3 Real-life graphsEnd of unit review144146148151Glossary1955 in this web service Cambridge University Presswww.cambridge.org

Cambridge University Press978-1-107-64111-2 – Cambridge Checkpoint MathematicsGreg Byrd Lynn Byrd and Chris PearceFrontmatterMore informationAcknowledgementsThe authors and publisher are grateful for the permissions granted to reproduce copyright materials.While every effort has been made, it has not always been possible to identify the sources of all thematerials used, or to trace all the copyright holders. If any omissions are brought to our notice, we willbe happy to include the appropriate acknowledgements on reprinting.p. 19t The Granger Collection/TopFoto; p. 19bl Eiji Ueda Photography/Shutterstock; p. 19br sizov/Shutterstock; p. 27t Ilin Sergey/Shutterstock; p. 31mr Joel Blit/Shutterstock; p. 31bl 3d brained/Shutterstock; p. 39m Kurhan/Shutterstock; p. 44tr Rena Schild/Shutterstock; p. 44mr Kirill P/Shutterstock; p. 45b Tyler Olson/Shutterstock; p. 46tm Georgis Kollidas/Shutterstock; p. 46mrStefanie Timmermann/iStock; p. 46br Yuttasak Jannarong/Shutterstock; p. 49m Greg Byrd; p. 53brMesopotamian/ The Art Gallery Collection / Alamy; p. 63b Adisa/Shutterstock; p. 65t Greg Byrd;p. 80b Denise Kappa/Shutterstock; p. 82b Gallo Images/Stringer/Getty Images Sport/Getty Images;p. 84tm Silvia Boratti/iStock; p. 84mr jobhopper/iStock; p. 85b Steve Broer/Shutterstock; p. 86tm S.Borisov/Shutterstock; p. 86bl Greg Byrd; p. 86br Greg Byrd; p. 97ml James Davies/Alamy; p. 97brGreg Byrd; p. 105t Michael Chamberlin/Shutterstock; p. 112ml Alhovik/shutterstock; p. 112mr kated/Shutterstock; p. 114m Graça Victoria/iStock; p. 119tl Claude Dagenais/iStock; p. 119mr Michael Stokes/Shutterstock; p. 119br Losevsky Pavel/Shutterstock; p. 128b USBFCO/Shutterstock; p. 136t HultonArchive/iStock; p. 138t Maksim Toome/ Shutterstock; p. 142b charistoone-images/Alamy; p. 143mlEastimages/shutterstock; p. 143m KtD/Shutterstock; p. 143mr Baloncici/Shutterstock; p. 152bl auremar/Shutterstock; p. 152br m.bonotto/Shutterstock; p. 161tl Greg Byrd; p. 161mr Katarina Calgar/iStock;p. 161br Nickoloay Stanev/Shutterstock; p. 180b allekk/iStockl left, r right, t top, b bottom, m middle6 in this web service Cambridge University Presswww.cambridge.org

Welcome to Cambridge Checkpoint Mathematics stage 7 Th e Cambridge Checkpoint Mathematics course covers the Cambridge Secondary 1 mathematics framework and is divided into three stages: 7, 8 and 9.