PSLE Math
For students to master each topic in PSLE Math, I would recommend the following series of books, categorised into different difficulty levels:
High Achievers
1. Challenging Maths Made Easy: A step-by-step guide to the non-routine
Publisher: Marshall Cavendish Education; Author: Ammiel Wan Chee Hong
This is an old book first published in 2006 and as far as I know, it was the first attempt to give some kind of learning structure to PSLE Math problem sums. Instead of introducing problems by topics such as Fractions or Ratio, it divides PSLE Math problems into mathematical concepts such as Remainder Concept, Equal Concept etc. It has fully worked out solutions often showing both the Models method and Units method of solving a particular problem. However, it’s only for P6 students and the need for the same kind of guidance for the lower primary levels probably led to the creation of the Onsponge series below.
2. Conquer Problem Sums (Thinking Math@Onsponge)
Publisher: onSponge Pte Ltd; Authors: Ammiel Wan, Corine Quek, Chris Rogers.
The Onsponge set of books also teaches mathematical concepts such as the Remainder Concept, but organises its chapters by topics such as Whole Numbers, Fractions etc, in line with the primary math syllabus so that it would be easier for teachers and parents to use. The advantage is that it is more comprehensive than (1) as it covers all the math topics as well as all the primary levels. However, it has fully worked out solutions for some questions only, and if you want to focus on mastering only problem sums, then (1) would be better for you to complete.
Mid Achievers
1. Primary Six Mathematics Tutor
Publisher: Casco Publications Pte Ltd; Author: Lee-Ann Goh
Typical of the Mathematics Tutor series of books, this book has concise notes and many worked examples, and provides questions for all levels, from very easy to very difficult. It also has fully worked out solutions which students and parents can use for checking, marking and even learning.
2. Problem-Solving Processes in Mathematics (New Syllabus)
Publisher: Educational Publishing House Pte Ltd; Author: Fabian Ng
I use this book for my own children as a basic, comprehensive training ground for problem-solving. It provides a lot of questions in increasing difficulty. However, some of the methods used in its worked examples are either inefficient or hard to understand, and another downside of this book is that most of the answers provided at the back of the book are not full solutions.
Gradual Achievers
1. Diagnostic Practice in Maths
Publisher: Educational Publishing House Pte Ltd; Author: Peter Lim
2. PSLE Maths Drills
Publisher: Educational Publishing House Pte Ltd; Author: Sng Wei Hao
PSLE SCIENCE
For students to master each topic in PSLE Science, I would recommend the following series of books:
1. Science Practice (Primary 5 &6)
Publisher: Marshall Cavendish Education; Author: Winnie Peh
2.PSLE Ultimate Science Guide
Publisher: Educational Publishing House Pte Ltd; Authors: Low Wai Cheng, Leong May Kuen
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‘O’-Level Elementary Math
For students to master each topic in ‘O’-Level Elementary Math, I would recommend the following series of books:
1. ‘O’ Level Elementary Mathematics Companion
Publisher: Casco Publications Pte Ltd; Author: Lee-Ann Goh
It comes in two volumes. Book 1 provides notes, examples and practice questions for Arithmetic, Algebra, Coordinate Geometry and Graphs. Book 2 provides notes, examples and practice questions for Geometry, Trigonometry, Sets, Matrices, Vectors and Statistics. Each book comes with fully worked-out solutions to all the practice questions.
How to use these books?
Use the two books to learn or revise the theories of each topic and analyse the examples to understand and remember how different types of problems are solved.
Then attempt to answer as many questions as you can in the Revision Exercises provided and after that, mark your own solutions by comparing them with the worked solutions. If your answers are incorrect, seek to understand where, how and why you got them wrong.
If you often find yourself not understanding some parts of the worked solutions, then, yes, you’d probably need to consult a tutor. But you can first try asking your school teachers or friends first.
If you have mastered most of the topics in ‘O’-Level and you need practice papers, then I would recommend that you complete the papers in the following book:
2. G.C.E. ‘O’ Level Mathematics Paper 1 and Paper 2
Publisher: Casco Publications Pte Ltd; Author: Lee-Ann Goh
It has 10 ‘Trial Exam’ papers, with fully worked-out solutions for each paper. You should attempt each paper in the time allocated (2hrs for Paper 1 and 2.5hrs for Paper 2). Then mark your own solutions and reflect on your errors and learn from them.
3. Pass With Distinction, Elementary Mathematics (By Topic) with Solutions
Publisher: Shinglee Publishers Pte Ltd; Author: Teh Keng Seng, Loh Cheng Yee
‘O’-Level Additional Mathematics
For students to master each topic in A. Math, I would recommend the following series of books:
1. Pass With Distinction, Additional Mathematics (By Topic) with Solutions
Publisher: Shinglee Publishers Pte Ltd; Author: L. K. Lee
2. O–Level Additional Mathematics Revision Guide 3 and 4
Publisher: Pearson Longman; Author: Aven Choo
How to use these books?
Use the two books to learn or revise the theories of each topic and analyse the examples to understand and remember how different types of problems are solved.
Then attempt to answer as many questions as you can in the Practice Exercises provided and after that, mark your own answers. If your answers are incorrect, seek to understand where, how and why you got them wrong.
If you have mastered most of the topics and you need practice papers, then I would recommend that you complete the papers in the following book:
3. ‘O’ Level Additional Mathematics Revision Guide Paper 1 and 2
Publisher: Dolphin Publications
It has 14 challenging ’Revision Exam’ papers, with fully worked-out solutions for each paper. You should attempt each paper in the time allocated (2hrs for Paper 1 and 2.5hrs for Paper 2). Then mark your own solutions and reflect on your errors and learn from them.
‘O’ Level Chemistry
For students to master each topic in ‘O’-Level Chemistry, I would recommend the following series of books:
1. Understanding Chemistry ‘O’ Level
Publisher: GLM Pte Ltd; Author: Li Geok Jin
2. Pass With Distinction: Chemistry (By Topic)
Publisher: Shinglee Publications; Author: Sean Chua
3. ‘O’ Level Chemistry Workout (Structured and Free-Response Questions)
Publisher: Pearson Longman; Author: Lim Eng Wah, JGR Briggs
4. Effective Guide to ‘O’ ‘Level Chemistry (2nd Edition)
Publisher: Pearson Longman; Author: Lim Eng Wah
‘O’ Level Physics
For students to master each topic in ‘O’-Level Physics, I would recommend the following series of books:
1. ‘O’ Level Challenging Drill Questions Physics
Publisher: Cosmic Services; Authors/Compilers: Thomas Bond, Chris Hughes
2. Pass With Distinction: Physics (By Topic)
Publisher: Shinglee Publications; Author: Tan Kim Seng
3. ‘O’ Level Physics Workout (Structured and Free-Response Questions)
Publisher: Pearson Longman; Author: Gabriel Lionel Morris
4. 1001 Physics MCQs for ‘O’ Level
Publisher: Pearson Longman; Author: Tan Peng Yeon
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