Table of Contents

Number

Section 1 Numbers and Arithmetic
 1.1 Place Value and Ordering Decimals
 1.2 Multiplying and Dividing with Decimals
 1.3 Calculations with Negative Numbers
 1.4 Calculators, BODMAS and Checking

Section 2 Approximations
 2.1 Rounding
 2.2 Estimating

Section 3 Powers
 3.1 Power Lows
 3.2 Standard Form
 3.3 Roots

Section 4 Multiples, Factors and Primes
 4.1 Multiples and Factors
 4.2 Prime Numbers

Section 5 Fractions and Percentages

5.1 Adding and Subtracting Fractions
 Adding Fractions with Unlike Denominators
 Subtracting Fractions with Unlike Denominators
 Converting Mixed Numbers to Improper Fractions
 Converting Improper Fractions to Mixed Numbers
 Adding Mixed Numbers Whose Denominators Are Multiples of the Same Number
 Subtracting Mixed Numbers with Unlike Denominators
 5.2 Multiplying and Dividing Fractions
 5.3 Changing Fractions to Decimals and Percentages
 5.4 Percentages of Amounts
 5.5 Percentage Change

5.1 Adding and Subtracting Fractions

Section 1 Numbers and Arithmetic

Ratio, Proportion and Rates of Change

Section 6 Ratio, Proportion and Rates of Change
 6.1 Comparing Quantities Using Fractions and Ratios
 6.2 Ratio Problems
 6.3 Percentage Change Problems
 6.4 Direct and Inverse Proportion

Section 7 Units and Scales
 7.1 Changing Units
 7.2 Compound Measures—Speed and Density
 7.3 Scale Drawings

Section 6 Ratio, Proportion and Rates of Change

Algebra

Section 8 Algebraic Expressions
 8.1 Simplifying Expressions
 8.2 Expanding Brackets
 8.3 Factorising
 Section 9 Equations and Inequalities

Section 10 Formulas
 10.1 Writing Formulas
 10.2 Substituting into Formulas
 10.3 Rearranging Formulas

Section 11 Sequences
 11.1 Arithmetic Sequences
 11.2 Geometric and Other Sequences

Section 12 Graphs and Equations
 12.1 Plotting Graphs
 12.2 Interpreting Linear Graphs
 12.3 Modelling Using Graphs
 12.4 Solving Equations Using Graphs

Section 8 Algebraic Expressions

Geometry and Measures

Section 13 Angles and Shapes
 13.1 Angle Rules
 13.2 Polygons

Section 14 Constructions
 14.1 Constructions
 14.2 Loci and Bearings

Section 15 Perimeter, Area and Volume
 15.1 Perimeter and Area
 15.2 Volume and Surface Area

Section 16 Transformations
 16.1 Reflection, Rotation and Translation
 16.2 Enlargement

Section 17 Geometric Relationships
 17.1 Pythagoras’ Theorem
 17.2 Trigonometry
 17.3 Geometric Relationships

Section 13 Angles and Shapes

Probability

Section 18 Probability
 18.1 Probability Experiments
 18.2 Theoretical Probabilities
 18.3 Sets

Section 18 Probability

Statistics
 19.1 Frequency Diagrams
 19.2 Pie Charts
 19.3 Scatter Graphs
 19.4 Average and Range
 19.5 Averages and Range from Tables