Math Revision Notes for Secondary School

© Jimmy Maths Pte Ltd Published by Jimmy Maths Pte Ltd Website: www.jimmymaths.com All rights reserved. No parts of this publication may be reproduced, stored in a retrieval system or transmitted, in any form or by any means, electronic, mechanical, photocopying, recording or otherwise, without the prior permission of the copyright owner. Unauthorised photocopying of this book, in part or whole is illegal. While every care has been taken to compile this book, errors may still arise in the course of compilation and production. If you notice any error, kindly email to jimmyling@jimmymaths.com so that we can review it.

www.jimmymaths.com © Jimmy Maths Pte Ltd iii About the Author Jimmy Ling graduated from NUS with a degree in Applied Mathematics and has been teaching Mathematics after graduation. He is the co-founder and director of Grade Solution Learning Centre, a leading tuition centre in Singapore with more than 1000+ students enrolled monthly. He is also the founder and director of Jimmy Maths, which has more than 10,000 students learning Math online through our online courses. He is the author of the following books: - Your Complete Guide to Math Concepts - 80 Useful Tricks to Solve Math Problems Easily - PSLE Maths Specimen Papers (You can buy this in Popular bookstores) - Math Revision Notes for Secondary Students - Real-World Applications of Math Concepts He was featured on Love 972 to give tips in doing well for Secondary Math. You can watch the replay here >> https://www.youtube.com/watch?v=qILm1FvzyOM&t=808s His Youtube channel which shares Math videos regularly has more than 1k subscribers. You can watch his videos here >> https://www.youtube.com/channel/UC5RoF52CtQLYH_W8iX1FrwQ

www.jimmymaths.com © Jimmy Maths Pte Ltd iv Preface Hi there, thank you for downloading this book. You have received a quick and concise summary of all the key concepts of every chapters in Secondary School Math. Most students dread revising using the textbooks because they are too thick and lengthy. That is why we compile this book to help your child extract and understand all the key concepts of each chapter. This Revision Notes is broken down into different chapters, according to the latest MOE syllabus. Each chapter is further broken down into different concepts and each concept is explained with examples. Read and understand the concepts. Understand the exa mples behind the concepts to make sure that you know how to apply them next time. Practice is essential. After understanding the concepts, you r child needs to put in sufficient practice to master them. Use this book as a homework companion when practicing Math questions. I hope that through this book, your child will enjoy learning Math as much as I do. If your child needs more help, feel free to check out our online courses and tuition classes below. We look forward to teaching your child one day. Jimmy Ling Jimmy Maths and Grade Solution Team

www.jimmymaths.com © Jimmy Maths Pte Ltd v Online Courses How to Learn from our online courses: 1) Watch the videos to learn the concepts 2) Do the assignments given after the videos 3) Check your answers with the solutions provided 4) Ask questions through Whatsapp and seek homework help 5) Submit evaluation tests which we will mark and provide feedback personally Click the links below to find out more: 1) Sec 1 Math Online Course Click Here >> https://jimmymaths.com/product/sec-1-math- online-course/ 2) Sec 2 Math Online Course Click Here >> https://jimmymaths.com/product/sec-2-math- online-course/ 3) Sec 3 Math Online Course Click Here >> https://jimmymaths.com/product/sec-3-math- online-course/ 4) Sec 4 Math Online Course Click Here >> https://jimmymaths.com/product/sec-4-math- online-course/

www.jimmymaths.com © Jimmy Maths Pte Ltd vi Tuition Classes Live Zoom or Physical Lessons at Grade Solution Learning Centre At Grade Solution Learning Centre, we are a team of dedicated educators whose mission is to guide your child to academic success. Here are the services we provide: - Live Zoom and Physical (f2f) lessons - EdaptIQ™, a smart learning platform that tracks your child’s progress, strengths and weaknesses through personalised digital worksheets. - 24/7 Homework Helper Service We provide all these services above at a very affordable monthly fee to allow as many students as possible to access such learning opportunities. We specialise in English, Math, and Science subjects. You can see our fees and schedules here >> https://gradesolution.com.sg/schedule/ *Our Spaces are very limited. If you find a class which suits your child, sign up fast!

www.jimmymaths.com © Jimmy Maths Pte Ltd vii Contents Page Sec 1 Chapter Page Number 1. Factors and Multiples 1 2. Real Numbers 3 3. Estimation 5 4. Algebraic Simplification 6 5. Algebraic Equations 8 6. Coordinates and Linear Graphs 9 7. Geometry (Angles) 13 8. Polygons 15 9. Inequalities 17 10. Patterns 19 11. Ratio and Proportion 21 12. Percentage 22 13. Rate and Speed 24 14. Measurement 25 15. Data Analysis 29

www.jimmymaths.com © Jimmy Maths Pte Ltd viii Sec 2 Chapter Page Number 1. Map Scales 33 2. Direct and Inverse Proportion 34 3. Algebraic Expansion and Factorisation 35 4. Algebraic Simplification 39 5. Algebraic Fractions and Making Subject 40 6. Quadratic Equations 42 7. Quadratic Graphs 43 8. Simultaneous Equations 45 9. Financial Mathematics 48 10. Speed-Time Graph 50 11. Congruence and Similarity 53 12. Pythagoras Theorem and Trigonometry 55 13. Measurement 56 14. Data Analysis 58 15. Probability 61

www.jimmymaths.com © Jimmy Maths Pte Ltd ix Sec 3 Chapter Page Number 1. Indices 64 2. Quadratic Equations 66 3. Linear Inequalities 69 4. Coordinate Geometry 71 5. Graphs 73 6. Congruence and Similarity 77 7. Properties of Circles 80 8. Trigonometry 83 9. Applications of Trigonometry 85 10. Circular Measure 87 Sec 4 Chapter Page Number 1. Sets and Venn Diagrams 91 2. Probability 93 3. Statistics 98 4. Matrices 105 5. Vectors 109

www.jimmymaths.com © Jimmy Maths Pte Ltd x For Sec 1 Students