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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 1 (6th Edition)
1. Factors and Multiples
- Factors and Multiples
- Prime Numbers and Composite Numbers
- Prime Factorisation
- Index Notation
- Highest Common Factor (HCF)
- Least Common Factor (LCM)
- Squares and Square Roots
- Cubes and Cube Roots
- Mental Estimation
- The Use of Calculators
- Summary
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Review Examples 1
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Review Questions 1
2. Integers
3. Rational Numbers
4. Estimation and Approximation
- Estimation and Rounding
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Approximations in Measurements and Accuracy
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Rounding Off a Number to a Given Number of Decimal Places
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Accuracy and Significant Figures
- Rounding Off a Number to a Given Number of Significant Figures
- Summary
- Review Examples 4
- Review Questions 4
5. Fundamental Algebra
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Notations in Algebra
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Evaluation of Algebraic Expressions
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Some Rules in Algebra
- Use of Brackets in Simplification
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Addition and Subtraction of Algebraic Expressions
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Linear Algebraic Expressions with Fractional Coefficients
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Factorisation
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Factorisation by Grouping
- Summary
- Review Examples 5
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Review Questions 5
Revision Exercise I
7. Algebraic Equations and Simple Inequalities
- Open Sentences
- Simple Equations
- Solving Simple Equations
- Further Examples on Equations
- Formulae
- Construction of Formulae
- Writing Algebraic Expressions
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Problem Solving with Algebra
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Inequalities
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Properties of Inequalities
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Equations and Inequalities
- Summary
- Review Examples 7
- Review Questions 7
8. Perimeter and Area of Simple Geometrical Figures
- Units of Area
- Area of a Parallelogram
- Area of a Trapezium
- Summary
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Review Examples 8
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Review Questions 8
9. Volume and Surface Area
- Concept of Volume
- Volume of Fluids
- Right Prisms
- Volume of a Prism
- Cylinders
- Volume of a Cylinder
- Surface Area of a Cylinder
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Summary
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Review Examples 9
- Review Questions 9
Revision Exercise II
10. Ratio, Rate and Proportion
- Ratio
- Equivalent Ratios
- Increase and Decrease in Ratio
- Rate
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Average Rate
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Time
- Speed and Average Speed
- Problems Involving Speed and Average Speed
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Summary
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Review Examples 10
- Review Questions 10
11. Percentages
- Percentages, Fractions and Decimals
- Expressing One Quantity as a Percentage of Another
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Finding the Percentage of a Number
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Comparing Two Quantities by Percentages
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Percentages Greater than 100%
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Increasing/Decreasing a Quantity by a Given Percentage
- Discount
- Commission
- Value-added Tax and GST
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Summary
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Review Examples 11
- Review Questions 11
12. Functions and Graphs
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Rectangular Coordinates in Two Dimensions
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The Rectangular or Cartesian Plane
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Coordinates of a Point
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The Idea of Functions
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Ordered Pairs Satisfying a Function
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Gradient of a Straight Line
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Summary
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Review Examples 12
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Review Questions 12
13. Statistics
- Introduction to Numerical Data
- Collection, Organisation and Interpretation of Data
- Collection of Data Using a Questionnaire
- Pictograms
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Bar Graphs
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Collection of Data Through Observation
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Pie Charts
- Collection of Data Through Interviews
- Line Graphs
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Frequency Tables and Histograms
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Collection of Data by Using Electronic Means and the Internet
- Grouped Frequency Tables
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Summary
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Review Examples 13
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Review Questions 13
Revision Exercise III
14. Basic Geometrical Concepts and Properties
- Points
- Lines, Rays, Line Segments
- Planes
- Intersecting Lines
- Angles
- The Protractor and Angle Measure
- Different Kinds of Angles
- Complementary Angles
- Supplementary Angles
- Adjacent Angles on a Line
- Vertically Opposite Angles
- Parallel Lines, Alternate Angles, Corresponding Angles, Interior Angles
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Summary
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Review Examples 14
- Review Questions 14
15. Angle Properties of Polygons
16. Geometrical Constructions
Revision Exercise IV
Answers
Samples
Chapter 3: Rational Numbers - Problem Solving Involving Rational Numbers Chapter 7: Algebraic Equations and Simple Inequalities - Writing Algebraic Expressions Chapter 10: Ratio, Rate and Speed
(all copyrights reserved by Shing Lee Publishers Pte Ltd, Singapore)
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