Secondary 1 / Grade 7 Maths

Chapter 1: Primes, Highest Common Factor and Lowest Common Multiple

1.1 Prime Numbers and Prime Factorisation 1.2 Highest Common Factor 1.3 Lowest Common Multiple 1.4 Squares and Square Roots 1.5 Cubes and Cube Roots Worksheets for chapter 1

Chapter 2: Integers, Rational Numbers and Real Numbers

2.1 Negative Numbers and the Number Line 2.2 Comparing Numbers: the Signs <, >, ≤ and ≥ 2.3 Adding and Subtracting Integers 2.4 Multiplying and Dividing Integers 2.5 Rational Numbers 2.6 Rational Numbers on the Number Line 2.7 The Four Operations on Rational Numbers 2.8 Real Numbers 2.9 Using a Calculator Worksheets for chapter 2

Chapter 3: Approximation and Estimation

3.1 Rounding Whole Numbers 3.2 Rounding to Decimal Places 3.3 Rounding Money and Measurements 3.4 Significant Figures 3.5 Rounding to Significant Figures 3.6 Giving Answers to the Right Accuracy 3.7 Estimating the Result of a Calculation 3.8 Checking a Calculator Answer by Estimating 3.9 Rounding to Suit the Situation 3.10 Benchmarks and Estimating Measures 3.11 Rounding Errors and Why We Round at the End 3.12 Rounded Percentages and Truncation Worksheets for chapter 3

Chapter 4: Ratio

4.1 What Is a Ratio? 4.2 Ratios and Fractions 4.3 Equivalent Ratios and Simplest Form 4.4 Ratios of Quantities in Different Units 4.5 Ratios with Fractions and Decimals 4.6 Ratios of Three Quantities 4.7 Combining Two Ratios 4.8 Dividing a Quantity in a Given Ratio 4.9 Solving Ratio Word Problems 4.10 Problems Where a Ratio Changes Worksheets for chapter 4

Chapter 5: Percentage

5.1 Percentages, Fractions and Decimals 5.2 One Quantity as a Percentage of Another 5.3 Percentages Greater than 100% 5.4 Comparing Two Quantities by Percentage 5.5 Increasing and Decreasing by a Percentage 5.6 Finding the Percentage Increase or Decrease 5.7 Percentage Points 5.8 Successive Percentage Changes 5.9 Reverse Percentages 5.10 Discount 5.11 GST and Service Charge 5.12 Problems Involving Percentages Worksheets for chapter 5

Chapter 6: Rate and Speed

6.1 Rate and Average Rate 6.2 Speed, Distance and Time 6.3 Average Speed 6.4 Converting Units of Speed 6.5 Problems Involving Rate 6.6 Problems Involving Speed Worksheets for chapter 6

Chapter 7: Algebraic Expressions and Formulae

7.1 Using Letters to Represent Numbers 7.2 Algebraic Notation 7.3 Evaluating Expressions and Formulae 7.4 Writing Expressions for Real-World Situations 7.5 Number Patterns and the nth Term Worksheets for chapter 7

Chapter 8: Algebraic Manipulation

8.1 Adding and Subtracting Linear Expressions 8.2 Expanding Linear Expressions with Brackets 8.3 Simplifying Linear Fractional Expressions 8.4 Factorising by Extracting Common Factors Worksheets for chapter 8

Chapter 9: Linear Equations

9.1 Solving Linear Equations 9.2 Equations with Brackets and the Unknown on Both Sides 9.3 Simple Fractional Equations 9.4 Solving Problems with Linear Equations Worksheets for chapter 9

Chapter 10: Functions and Linear Graphs

10.1 Cartesian Coordinates 10.2 Functions and Graphs of Ordered Pairs 10.3 Linear Functions 10.4 Graphs of Linear Functions 10.5 Gradient of a Linear Graph Worksheets for chapter 10

Chapter 11: Angles and Parallel Lines

11.1 Types of Angles 11.2 Angles on a Straight Line and at a Point 11.3 Vertically Opposite Angles 11.4 Parallel Lines and Transversals 11.5 Finding Unknown Angles with Parallel Lines 11.6 Bent Lines between Parallel Lines Worksheets for chapter 11

Chapter 12: Triangles, Quadrilaterals and Polygons

12.1 Triangles and Their Angles 12.2 Isosceles and Equilateral Triangles 12.3 Line and Rotational Symmetry 12.4 Properties of Special Quadrilaterals 12.5 Classifying Special Quadrilaterals 12.6 Polygons and Regular Polygons 12.7 Polygons and Their Interior Angles 12.8 Exterior Angles and Regular Polygons 12.9 Constructing Triangles 12.10 Constructing Quadrilaterals 12.11 Constructing Regular Polygons

Chapter 13: Perimeter and Area

13.1 Area of Parallelograms 13.2 Area of Trapeziums 13.3 Perimeter and Area of Composite Figures 13.4 Area of Paths and Borders 13.5 Composite Figures with Circular Parts

Chapter 14: Volume and Surface Area

14.1 Converting Units of Area and Volume 14.2 Volume of Prisms 14.3 Surface Area of Prisms 14.4 Volume of Cylinders 14.5 Surface Area of Cylinders 14.6 Pouring and Recasting 14.7 Rising and Falling Water Levels 14.8 Rate of Flow: Filling and Emptying Tanks 14.9 Volume of Composite Solids 14.10 Surface Area of Composite Solids 14.11 Surface Area of Solids with Holes and Cuts

Chapter 15: Data Handling

15.1 Types of Data 15.2 Collecting Data and Designing Surveys 15.3 Tally and Frequency Tables 15.4 Two-Way Tables 15.5 Pictograms 15.6 Bar Graphs 15.7 Reading Pie Charts 15.8 Drawing Pie Charts 15.9 Line Graphs 15.10 Choosing a Statistical Diagram 15.11 Misleading Statistical Diagrams