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Hsc General Math Textbook with Answers
Hsc General Math Textbook with Answers
153542 Words
615 Pages
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
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a charts 141 Comparison of summary statistics 145 Chapter summary 149 Multiple-choice questions 150 Short-answer questions 151 Applications of trigonometry 153 Chapter 5 5.1 5.2 5.3 5.4 5.5 5.6 5.7 5.8 Right-angled trigonometry 153 Bearings 158 Trigonometry with obtuse angles The sine rule 166 Area of a triangle 172 The cosine rule 175 Miscellaneous problems 180 Surveying 185 Chapter summary 191 Multiple-choice questions 192 Short-answer questions 193 Multi-stage events 195 163 Chapter 6 6.1 6.2 6.3 6.4 6.5 6.6 Tree diagrams 195 Fundamental counting principle 200 Ordered selections 205 Unordered selections 209 Probability trees: Product rule 213 Probability trees: Addition rule 218 Chapter summary 223 Multiple-choice questions 224 Short-answer questions 225 Annuities and loan repayments 227 Chapter 7 7.1 7.2 7.3 7.4 Future value of an annuity 227 Present value of an annuity 233 Using tables for annuity problems 239 Loan repayments 244 Chapter summary 249 Multiple-choice questions 250 Short-answer questions 251 Contents v Chapter 8 8.1 8.2 8.3 Normal distribution 253 z z-scores 253 Using z-scores to compare data z 258 Properties of a normal distribution 262 Chapter summary 267 Multiple-choice questions 268 Short-answer questions 269 Modelling linear and non-linear relationships Linear functions 271 Intersecting graphs 275 Quadratic functions 279 Cubic, exponential and hyperbolic functions Direct variation 290 Inverse variation 295
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