Number systems and sets of numbers

Fractions, decimals, percentages and ratio

Direct and inverse proportion

Rates, speed, distance and time

Approximation, rounding and estimation

Absolute value and inequalities on the number line

Laws of exponents

Standard form

Surds, roots and irrational numbers

Number sequences and patterns

Algebraic expressions and substitution

Factorising expressions

Solving linear equations and inequalities

Forming equations from context

Rearranging formulae

Solving quadratic equations

Simultaneous equations

Relations, mappings and function notation

Linear functions and graphs

Parallel and perpendicular lines

Midpoint and distance between two points

Quadratic functions and their graphs

Solving systems of equations graphically

Real-life graphs

Algorithms and flowcharts

Angles, parallel lines and polygons

Perimeter and area

Surface area and volume of 3D solids

Pythagoras theorem

Similarity and congruence

Transformations

Symmetry and tessellation

Circle theorems and constructions

Coordinate geometry and describing movement

Trigonometric ratios in right-angled triangles

Bearings and scale drawing

Applications of right-angled trigonometry

Collecting and classifying data

Representing data

Averages and spread

Cumulative frequency and box plots

Scatter graphs and correlation

Probability basics and sample spaces

Experimental probability and expected frequency

Sets and Venn diagrams

Combined events and tree diagrams