New Syllabus Mathematics 6th Edition (authors - Teh Keng Seng, Loh Cheng Yee; consultant - Dr Yeap Ban Har) is a series of four textbooks. This title covers the Syllabus for Secondary Mathematics implemented from 2007 by the Ministry of Education, Singapore. The whole series covers the complete syllabus for the Singapore-Cambridge GCE 'O' Level Mathematics.
The
sixth edition of New Syllabus Mathematics retains the goals and objectives of the previous edition, but has been revised to meet the requests of users of the fifth edition and to keep materials up-to-date as well as to give students a better understanding of the contents.
All topics are comprehensively dealt with to give students a firm grounding in the subject. Explanations of concepts and principles are concise and written in clear language with supportive illustrations and examples. Examples and exercises have been carefully graded to aid students in progressing within and beyond each level. Those exercises marked with a * either require more thinking or involve more calculations.
Numerous revision exercises are provided at appropriate intervals to enable students to recapitulate what they have learnt.
Some interesting features of this series include the following:
Above is an extract from the preface of the New Syllabus Mathematics (reproduced with the permission of the publishers).
Answers to exercises, reviews, and tests are in the back of the book. There are no answers provided for the investigations and explorations yet.
There is an optional workbook for this series.
New Syllabus Mathematics Textbook 3
1. Solutions to Quadratic Equations
- Solving Quadratic Equations by Factorisation
- Solution by Completing the Square
- General Solution to a Quadratic Equation
- Problems Involving Quadratic Equations
- Summary
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Review Examples 1
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Review Questions 1
2. Indices and Standard Form
3. Linear Inequalities
Revision Exercise I
4. Coordinate Geometry
- Revision
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Length of Line Segment
- Gradient of a Straight Line
- Equation of a Straight Line
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Summary
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- Review Questions 4
5. Matrices
- Introduction
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Some Special Matrices
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Addition and Subtraction of Matrices
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Rules for Matrix Addition and Matrix Subtraction
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Multiplication of a Matrix by a Real Number
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Multiplication of Matrices
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Use of Matrices in Solving Everyday Life Problems
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Summary
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- Review Questions 5
6. Application of Mathematics in Practical Situations
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Profit and Loss as a Percentage of Cost/Sale Price
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Further Examples on Percentages
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Simple Interest
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Compound Interest
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Hire Purchase
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Money Exchange
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Taxation
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Personal and Household Finances
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Interpretation and Use of Tables and Charts
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Strategies in Problem Solving
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Summary
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- Review Questions 6
7. Linear Graphs and Their Applications
Revision Exercise II
8. Congruent and Similar Triangles
9. Area and Volume of Similar Figures and Solids
- Area of Similar Figures
- Volumes of Similar Figures
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Summary
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Review Examples 9
- Review Questions 9
10. Trigonometrical Ratios
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Trigonometrical Ratios
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Value of Trigonometrical Ratios
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Use of Calculator
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Solving Right-Angled Triangles Using Trigonometrical Ratios
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Finding the Value of an Angle with Trigonometrical Ratios
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Practical Applications of Trigonometry
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More Examples on Applications of Trigonometry
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Summary
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Review Examples 10
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Review Questions 10
Revision Exercise III
11. Further Trigonometry
- Trigonometrical Ratios
- Area of Triangle
- The Sine Rule
- The Cosine Rule
- Bearings
- Three-Dimensional Problems
- Further Examples of Three-Dimensional Problems
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Summary
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Review Examples 11
- Review Questions 11
12. Mensuration - Arc Length, Sector Area, Radian Measure
13. Geometrical Properties of Circles
Revision Exercise IV
Answers
Samples
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