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Mathematics
WORKED SOLUTIONS FOR CSEC® EXAMINATIONS 2006 –2010

DEREK MCMONAGLE
CSEC® is a registered trade mark(s) of the Caribbean Examinations Council (CXC). MATHEMATICS Worked Solutions for CSEC® Examinations 2006–2010 is an independent publication and has not been authorized, sponsored, or otherwise approved by CXC.

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Macmillan Education Between Towns Road, Oxford, OX4 3PP A division of Macmillan Publishers Limited Companies and representatives throughout the world www.macmillan-caribbean.com ISBN: 978-0-230-40738-1 Text © Derek McMonagle 2011 Design and illustration © Macmillan Publishers Limited 2011 All rights reserved; no part of this publication may be reproduced, stored in a retrieval system, transmitted in any form or by any means, electronic, mechanical, photocopying, recording, or otherwise, without the prior written permission of the publishers. Design by Tech Type Typeset by MPS Limited, a Macmillan Company Cover design by Mike Brain Graphic Design Ltd

Printed and bound in Malaysia 2015 2014 2013 2012 2011 10 9 8 7 6 5 4 3 2 1

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CONTENTS 1 2 3 4 5 6 7 8 9 10 Introduction Time for revision Mathematics – Paper 01 – Multiple choice questions Mathematics – Paper 02 – General proficiency – May 2006 Mathematics – Paper 02 – General proficiency – May 2007 Mathematics – Paper 02 – General proficiency – May 2008 Mathematics – Paper 02 – General proficiency – May 2009 Mathematics – Paper 02 – General proficiency – May 2010 How did you do? Table of topics from the Mathematics Syllabus 4 6 10 64 80 95 109 123 137 139

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INTRODUCTION

What is this book about? This book is your companion to the Caribbean Examinations Council (CXC) Secondary Education Certificate examination in Mathematics at General Proficiency level. It contains five sets of 60 multiple choice questions similar to those that will appear on Mathematics Paper 01, together with answers to these questions. It also contains complete answers to the questions set on the Mathematics Paper 02 in the May series of examinations between the years 2006 and 2010. In addition to the answer to each question, an appropriate explanation is also given so you don’t just get the right answer but, more importantly, you can see how it has been worked out! There is also an indication of how the marks are distributed so you can see how you might get partial credit for an answer even if it isn’t totally correct. How can I use this book? This book is designed to help you to increase your knowledge of mathematics and improve your chances of success in your forthcoming examination. One of the best ways for you to find out exactly what you know (or don’t know) and how well you can organise your knowledge is to try to answer actual examination questions taken from past papers. In addition to examination questions there is a chapter on how to revise. This will help you to draw up a revision timetable, and to stay focused on what you have to do. The chapter also includes tips from experienced examiners on how to avoid throwing away marks by making silly mistakes and how to squeeze those few extra marks by writing down what you know in the clearest possible way. Those few extra marks just might earn you a higher grade! This book is a very flexible revision aid and you can use it in different ways depending on what best suits your revision programme. • At the end of your revision programme you could simply try to answer the questions on the examination papers to check how much mathematics you know by comparing your answers with those in this book.

However, this book allows you to make far better use of the examination questions as an actual part of your revision programme. At the back of the book there is a Table of Topics from the Mathematics Syllabus. This is a list of topics which together cover the entire content of the Mathematics...
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