# Form 3

# Intensive Mathematics - Form 3 (Second Edition)

### Written by N. Cheung, Y. S. Pang & S. H. Cheung

First Edition: September 2009

Second Edition: September 2022

ISBN 978-962-296-103-6

## Contents

Linear Inequalities in One Unknown

Laws of Integral Indices

Rational and Irrational Numbers

Percentages (III)

Deductive Geometry

Quadrilaterals

Areas and Volumes (III)

Trigonometric Relations

Applications of Trigonometry

Coordinate Geometry of Straight Lines

Probability

Statistics (III) ‒ Measures of Central Tendency

Final Revision Exercise Test 1

Final Revision Exercise Test 2

Answers

## Previous Edition (Discontinued)

## Intensive Mathematics - Form 3

### Written by S. H. Cheung, N. Cheung & Y. S. Pang

First Edition: September 2009

ISBN 978-962-296-063-3

## Contents

Linear Inequalities in One Unknown

Laws of Integral Indices and Applications

Rational and Irrational Numbers

Percentages (III)

Deductive Geometry

Quadrilaterals

3D Figures

Areas and Volumes (III)

Trigonometric Relations

Applications of Trigonometry

Coordinate Geometry of Straight Lines

Probability

Statistics (III) - Measures of Central Tendency

Final Revision Test - Test 1

Final Revision Test - Test 2

## Introduction

This book consists of 13 chapters which including 2 final revision tests. Each chapter consists of six parts:

Notes - To introduce the mathematical concepts and method of calculations

Exploration - To explain and establish by examples, sometimes includes analysis and discussion to solutions under the example

Warm-up Zone - There are simple questions similar to typical examples for basic skill training. Students can easily complete them by referring to the examples given. As students have gone through all the questions in this section, the questions in “Challenging Problems” are relatively more difficult than those in “Warm-up Zone”.

Challenging Problems - For students of different levels of ability, there are questions of different types and levels in exercises, which enhance students’ skill in problem solving.

Revision Test - Part A is multiple choice questions, which contains of 10 different questions and 30 marks. Students at least answer five questions correctly. Part B is word problems, which contains short and long questions and 70 marks. The passing mark is 50 marks or above; Good is 75 marks or above; whereas Excellent is 90 marks or above.

Creative Activity - In chapter 4 and 5, there are some open-ended questions which develop students’ interest in problem solving.

In Chapter 5 and 6 consists of a summary notes which are Geometric Theorem and Definition respectively.

The book consists of 2 final revision tests, which design for students to ensure the study effectively.

This book comes with a “Solution Guide” to aid students in problem solving. It consists of:

Solution for harder problems (with the asterisk sign *)

Further notes and explanation

Further chapter summaries to summarize the key points, concepts and terms

From the front page, we mentioned “the main purpose is to provide students with a well-organized in learning revision and method of revision”. However, this may be difficult for students to do that. Therefore, we suggest the following points to students.

(1) Highlights

Clear steps

Classification of questions

Handling main points

Comparison of difference situations

Several solving methods

(2) Differences area of summary

Chapter key point summary

Question oriented summary

(3) Difference types of summary

Point Form - Easy to classify of questions, main points or methods

Flow chart - Easy to express the solving steps

Method of tabling - Easy to compare two differences of a question

(4) Systemic summary

There are various types of summaries to give students more choices for concept illustration and technique discussion.