Key Stage 3

The resources on this page will help with your study of mathematics. There are online questions, arranged by topic, that provide worked examples and question marking.

Number
Algebra
Geometry
Measurements
Statistics

Place Value
Adding and Subtracting Decimals
Multiplying Decimals
Division with Decimals
Fractions
Negative Numbers
Fractions, Decimals and Percentages
Fraction Calculations
Factors
Rounding and Estimating
Ratio and Proportion
Base Arithmetic
Indices and Standard Form
Fractions and Percentages
Estimation and Approximation

Number Patterns and Sequences
Searching for Pattern
Linear Equations
Brackets
Formulae
Line Graphs and Equations
Sequences
Algebraic Manipulation
Graphs, Equations & Inequalities
Quadratic Functions

Graphs
Angles
Pythagoras' Theorem
Nets and Surface Area
Angles, Bearings and Maps
Straight Line Graphs
Polygons
Circles
Similarity
Transformations
Trigonometry

Areas and Perimeters
Time and Timetables
Scale Drawings
Volume
Money and Time
Units of Measure
Speed, Distance and Time
Area, Perimeter and Volume

Data Collection and Presentation
Quantitative Data
Probability of One Event
Data Analysis
Probability of Two Events
Questionnaires and Analysis
Probability
Statistical Diagrams
Cumulative Frequency
Sampling

Number

Place Value

Place Value and Rounding Decimals and Place Value

Adding and Subtracting Decimals

Addition and Subtraction Dealing with Money

Multiplying Decimals

Multiplication of Whole Numbers Long Multiplication Multiplying with Decimals

Problems Involving Multiplication

Division with Decimals

Mental Division of Whole Numbers Division Methods Division Problems

Fractions

Fractions Equivalent Fractions Fractions of Quantities

Mixed Numbers and Improper Fractions

Negative Numbers

Adding and Subtracting Negative Numbers Multiplying and Dividing using Negative Numbers

Fractions, Decimals and Percentages

Converting Decimals into Fractions Converting Fractions to Decimals Introduction to Percentages

Decimals, Fractions and Percentages

Fraction Calculations

Adding and Subtracting Fractions Multiplying Fractions Dividing Fractions

Factors

Factors and Prime Numbers Prime Factors Index Notation

Highest Common Factor and Lowest Common Multiple

Rounding and Estimating

Order of Operations Problems in Context Rounding

Estimating

Ratio and Proportion

Equivalent Ratios Direct Proportion Proportional Division

Base Arithmetic

Binary Numbers Adding and Subtracting Binary Numbers Multiplying Binary Numbers

Other Bases

Indices and Standard Form

Index Notation Laws of Indices Negative Indices

Standard Form Fractional Indices

Fractions and Percentages

Equivalent Fractions Fractions of Quantities Operations with Fractions

Fraction, Decimal and Percentage Equivalents Percentage Increases and Decreases

Estimation and Approximation

Rounding Estimation Calculator Use

Error Propagation

Algebra

Number Patterns and Sequences

Multiples Finding the Next Term Generating Number Sequences

Formulae for General Terms

Searching for Pattern

Pictorial Logic Extending Number Sequences Patterns and Matchsticks

Two-dimensional Number Patterns

Linear Equations

Fundamental Algebraic Skills Function Machines Linear Equations

Brackets

Expansion of single brackets Linear Equations with Brackets Factorising Expressions

Formulae

Substitution into Formulae 1 Substitution into Formulae 2 Linear Equations 1

Linear Equations 2

Line Graphs and Equations

Coordinates Straight Line Graphs Linear Equations

Parallel and Perpendicular Lines Simultaneous Equations Equations in Context

Sequences

Constant Differences Finding the Formula for a Linear Sequence Second Differences and Quadratic Sequences

Special Sequences

Algebraic Manipulation

Equations, Formulae and Identities Simplifying Expressions Factorising

Using Formulae

Graphs, Equations & Inequalities

Linear Inequalities

Quadratic Functions

Quadratic Equations: Factorisation Quadratic Equations: Completing the Square

Geometry

Graphs

Scatter Graphs Plotting Points Coordinates

Plotting Polygons Conversion Graphs

Angles

Angles and Turns Measuring Angles Classifying Angles

Angles on a Line and Round a Point Constructing Triangles Finding Angles in a Triangle

Pythagoras' Theorem

Pythagoras' Theorem Finding Hypotenuse Problems in Context

Constructions and Angles

Nets and Surface Area

Common 2D and 3D Shapes

Angles, Bearings and Maps

Angle Measures Parallel and Intersecting Lines Bearings

Straight Line Graphs

Coordinates Plotting Points on Straight Lines Plotting Graphs given their Equations

Polygons

Angle Facts Angle Properties of Polygons Symmetry

Quadrilaterals

Circles

Introduction to Circles Formulae for Circumference and Area

Similarity

Enlargement Similar Shapes Line, Area and Volume Scale Factors

Transformations

Shapes Translations Enlargements

Reflections Rotations Combining Transformations

Trigonometry

Pythagoras' Theorem Trigonometric Functions Calculating Sides

Calculating Angles

Measurements

Areas and Perimeters

Area Area and Perimeter of a Square Area and Perimeter of a Rectangle

Area of Compound Shapes Areas of a Triangle

Time and Timetables

Telling the Time 12-hour and 24-hour Clocks Units of Time

Timetables Time Problems in Context

Scale Drawings

Measuring Lengths Plans Maps

Volume

Volume using the Unit Cube Volume of a Cube Volume of a Cuboid

Capacity Density Volume of a Triangular Prism

Money and Time

Money Time Time and Money

Units of Measure

Estimating Metric Units Conversion between Metric Units Estimating Imperial Units

Metric and Imperial Units Problems in Context

Speed, Distance and Time

Speed Calculating Speed, Distance and Time Problems with Mixed Units

Area, Perimeter and Volume

2D Shapes Area of Special Shapes Perimeter of Special Shapes

Surface Area and Volume of 3D Shapes

Statistics

Data Collection and Presentation

Types of Data Collecting Data

Quantitative Data

Presentation Central Tendency Dispersion

Comparing Data Trends

Probability of One Event

Introduction to Probability Probability of a Single Event Relative Frequency

Complimentary Events Estimating the Number of Successes Addition Law for Mutually Exclusive Events

General Addition Law

Data Analysis

Frequency Tables: Discrete Ungrouped Data Mean, Mode, Median and Range

Probability of Two Events

Basic Probability of One Event Finding Outcomes With Two Experiments Finding Probabilities Using Lists Of Outcomes

Multiplication Law For Independent Events

Questionnaires and Analysis

Data Display Line Graphs

Probability

Probability of a Single Event Probability of Two Events Theoretical and Experimental Probabilities

Statistical Diagrams

Data Collection, Extraction and Presentation Statistical Measures Plotting Scatter Diagrams

Lines of Best Fit Equation of the Line of Best Fit

Cumulative Frequency

Averages Grouped Data Cumulative Frequency

Box and Whisker Plots

Sampling

Random Samples Sampling Techniques Stratified Random Samples