G K Powers
CAMBRIDGE UNIVERSITY PRESS
Cambridge, New York, Melbourne, Madrid, Cape Town, Singapore, São Paulo, Delhi, Dubai, Tokyo, Mexico City Cambridge University Press 477 Williamstown Road, Port Melbourne, VIC 3207, Australia www.cambridge.edu.au Information on this title: www.cambridge.org/9780521138345 © The Powers Family Trust 2010 This publication is in copyright. Subject to statutory exception and to the provisions of relevant collective licensing agreements, no reproduction of any part may take place without the written permission of Cambridge University Press. First published 2010 Edited by Marcia Bascombe Designed by Sylvia Witte Typeset by Aptara Corp. Printed in China by Printplus Limited. National Library of Australia Cataloguing in Publication data Powers, G. K. (Gregory K.) Cambridge HSC general mathematics / G. K. Powers. 9780521138345 (pbk.) Cambridge general mathematics. For secondary school age. Mathematics–Textbooks. Mathematics–Problems, exercises, etc. 510 ISBN 978-0-521-13834-5 Paperback Reproduction and Communication for educational purposes The Australian Copyright Act 1968 (the Act) allows a maximum of one chapter or 10% of the pages of this publication, whichever is the greater, to be reproduced and/or communicated by any educational institution for its educational purposes provided that the educational institution (or the body that administers it) has given a remuneration notice to Copyright Agency Limited (CAL) under the Act. For details of the CAL licence for educational institutions contact: Copyright Agency Limited Level 15, 233 Castlereagh Street Sydney NSW 2000 Telephone: (02) 9394 7600 Facsimile: (02) 9394 7601 Email: firstname.lastname@example.org Reproduction and Communication for other purposes Except as permitted under the Act (for example a fair dealing for the purposes of study, research, criticism or review) no part of this publication may be reproduced, stored in a retrieval system, communicated or transmitted in any form or by any means without prior written permission. All inquiries should be made to the publisher at the address above. Cambridge University Press has no responsibility for the persistence or accuracy of URLS for external or third-party Internet websites referred to in this publication and does not guarantee that any content on such websites is, or will remain, accurate or appropriate. Information regarding prices, travel timetables and other factual information given in this work are correct at the time of first printing but Cambridge University Press does not guarantee the accuracy of such information thereafter. Student CD-ROM licence Please see the file ‘licence.txt’ on the Student CD-ROM that is packed with this book. .
Introduction vii Ackno ledgements Acknowledgements Chapter 1 1.1 1.2 1.3 1.4 1.5
viii iii 1
Credit and borrowing
Flat-rate loans 1 Home loan repayments 8 Comparing loans Comparing loans 13 Credit cards 17 Reducing balance loans 22 Chapter summary t 29 Multiple choice questions ultiple-choice questions 30 Short-answer questions 31 Further applications of area and volume Area of circles, annuluses and sectors Area of ellipses 39 Area of composite shapes 42 Simpson’s rule 47 Surface area of cylinders and spheres Volume of composite solids 57 Errors in measurement 63 Chapter summary 67 Multiple-choice questions 68 Short-answer questions 69 Algebraic skills and techniques 71 33 33
Chapter 2 2.1 2.2 2.3 2.4 2.5 2.6 2.7
Chapter 3 3.1 3.2 3.3 3.4 3.5 3.6 3.7
Substitution and evaluation 71 Adding and subtracting like terms 75 Multiplying and dividing of algebraic terms Equations 84 Solving equations after substitution 91 Changing the subject of the formula 96 Scientific notation 101 Chapter summary 105 Multiple-choice questions 106 Short-answer questions 107
Chapter 4 4.1 4.2 4.3 4.4 4.5 4.6 4.7 4.8
Interpreting sets of data
Mean 109 Median 116 Measures of spread 120...
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