Numerica

Equivalent Fractions

Adding and Subtracting Fractions

Comparing and Ordering Fractions

Finding a Fraction of an Amount

Fractions on a Number Line

Simplifying Fractions

Converting Between Fractions, Decimals and Percentages

Multiplying and Dividing Fractions

Mixed Numbers and Improper Fractions

Multi-step Fraction Word Problems

Divisibility Tests

Highest Common Factor and Lowest Common Multiple

The Sieve of Eratosthenes and Divisibility

Finding HCF and LCM via Prime Factorisation

HCF and LCM of Three Numbers

HCF and LCM Word Problems

The Euclidean Algorithm for HCF

Recognising Prime Numbers

Prime Factorisation and Index Notation

Squares, Cubes, and Their Roots

Counting Factors via Prime Factorisation

Indices: Multiplying Powers of the Same Base

Indices: Dividing Powers of the Same Base

Indices: Power of a Power

Zero and Negative Indices

Comparing Decimals with Different Precision

Converting Between Decimals and Fractions

Decimal Arithmetic: Four Operations

Estimating with Decimals

Rounding Decimals

Decimal Word Problems with Money and Measure

Recurring Decimals

Estimation by Rounding to One Significant Figure

Multiplying and Dividing by Powers of Ten

Ordering Integers and Decimals

Significant Figures and Rounding

Very Large and Very Small Numbers

Standard Form: An Introduction

Standard Form: Arithmetic

Expressing One Quantity as a Percentage of Another

Percentage of an Amount

Percentage Change: Increase, Decrease, and the Multiplier Method

Simple Interest and Financial Maths

Repeated Percentage Change

Reverse Percentages: Finding the Original

Compound Interest and Compound Growth/Decay

Sharing in a Given Ratio

Combining Two Ratios

Scaling Recipes and the Unitary Method

Three-Part Ratios

Best-Value Comparisons and Unitary Pricing

Compound Measures: Speed, Density, Unit Pricing

Direct and Inverse Proportion

BIDMAS with Decimals

BIDMAS with Fractions

BIDMAS with Negative Numbers

BIDMAS with Nested Brackets

BIDMAS with Powers and Roots

BIDMAS with Substitution into Expressions and Formulae

BIDMAS in Scientific Formulae

Introduction to Algebra

Collecting Like Terms

Function Machines

Solving Simple Linear Equations

Expanding Single Brackets

Forming Equations from Word Problems

Factorising Single Brackets

Linear Equations with Brackets

Term-to-Term and Position-to-Term Rules

Finding Missing Terms in a Sequence

Finding the nth Term of an Arithmetic Sequence

Recognising Geometric Sequences

Sequences from Diagrams and Patterns

Special Sequences: Squares, Cubes, Triangular, Fibonacci

nth Term of a Decreasing Arithmetic Sequence

Recognising Quadratic Sequences

Distance Between Two Points

Equations of Horizontal and Vertical Lines

Midpoint of a Line Segment

Plotting Linear Graphs y = mx + c

Shapes and Transformations Across Four Quadrants

Finding the Equation of a Line from Two Points

Reflections in y = x and y = -x

Multiplying and Dividing Negative Numbers

Efficient Calculator Use

Estimating and Checking Calculations

Long and Short Division: Formal Written Method

Long Multiplication: Formal Written Method

Multi-step Word Problems with Mixed Operations

Negative Numbers in Real Contexts

Powers of Negative Numbers

Area of Rectangles and Composite Rectangles

Area of Parallelograms

Area of Trapezia

Area of Triangles

Perimeter of Rectangles and Composite Shapes

Volume of Cuboids

Surface Area of Cuboids

Volume of Triangular and Other Right Prisms

Listing Outcomes and Sample Spaces

Probabilities Sum to One

Equally Likely Outcomes: Theoretical Probability

Experimental Probability and Relative Frequency

Sample Space Diagrams for Two Events

Two-Way Tables in Probability

Comparing Experimental and Theoretical Probability

Expected Frequency from Probability