Table of Contents

Section 1 Numbers
 Calculating Tips
 Ordering Numbers
 Addition and Subtraction
 Multiplying by 10, 100, etc.
 Dividing by 10, 100, etc.
 Multiplying without a Calculator
 Dividing without a Calculator
 Multiplying and Dividing with Decimals
 Negative Numbers
 Special Types of Number
 Prime Numbers
 Multiples, Factors and Prime Factors
 LCM and HCF
 Fractions, Decimals and Percentages

Fractions
 Equivalent Fractions Using Division
 Comparing Fractions Using Models: Same Denominator
 Comparing Fractions Using Models
 Comparing Fractions Using Models: Same Numerator
 Equivalent Fractions Using Multiplication
 Comparing Proper Fractions
 Converting Improper Fractions to Mixed Numbers
 Converting Mixed Numbers to Improper Fractions
 Multiplying Fractions
 Multiplying Mixed Numbers
 Dividing Fractions
 Adding Fractions with Like Denominators
 Adding Fractions with Unlike Denominators
 Adding Mixed Numbers Whose Denominators Are Multiples of the Same Number
 Subtracting Fractions Whose Denominators Are Multiples of the Same Number
 Subtracting Fractions with Unlike Denominators
 Equivalent Fractions Using Models
 Dividing Shapes into Equal Parts
 Halves
 Making a Whole: Halves, Thirds, and Quarters
 Multiplying Unit Fractions by Whole Numbers Using Models
 Finding a Whole Set
 Unit Fractions: Halves, Thirds, and Quarters
 Unit Fractions
 Representing Fractions as Division
 Nonunit Fractions
 Thirds
 Percentage Basics
 Rounding Numbers
 Rounding Errors and Estimating
 Powers
 Square Roots and Cube Roots
 Standard Form

Section 2 Algebra
 Algebra—Simplifying Term
 Algebra—Multiplying out Brackets
 Algebra—Taking out Common Factors
 Solving Equations
 Using Formulas
 Making Formulas from Words
 Rearranging Formulas
 Number Patterns and Sequences
 Inequalities

Section 3 Graphs
 𝑋 and 𝑌 Coordinates
 Straight Line Graphs
 Plotting Straight Line Graphs
 Finding the Gradient
 𝑦 = 𝑚𝑥 + 𝑐
 Reading off Graphs
 Travel and Conversion Graphs
 RealLife Graphs
 Solving Simultaneous Equations
 Quadratic Graphs

Section 4 Ratio, Proportion & Rates of Change
 Ratios
 Direct Proportion
 Inverse Proportion
 Percentage Change
 Metric and Imperial Units
 Converting Units
 More Conversions
 Maps and Scale Drawings
 Best Buy
 Density and Speed

Section 5 Geometry and Measures
 Symmetry
 Quadrilaterals
 Triangles and Regular Polygons
 Perimeter and Area
 Area of Compound Shapes
 Circles
 3D Shapes
 Nets and Surface Area
 Volume
 Angle Basics
 Geometry Rules
 Parallel Lines
 Geometry Problems
 Interior and Exterior Angles
 Transformations
 Enlargements
 Congruent Shapes
 Similar Shapes
 Triangle Construction
 Constructions
 Pythagoras’ Theorem
 Trigonometry

Section 6 Probability and Statistics
 Probability
 Relative Frequency
 Venn Diagrams
 Data
 Graphs and Charts
 Mean, Median, Mode and Range
 Averages from Frequency Tables
 Averages from Grouped Frequency Tables
 Scatter Graphs