AQA GCSE Maths revision notes

Use the four operations confidently and apply BIDMAS correctly.

Read, compare, order and calculate with integers and decimals.

Simplify, compare and calculate with fractions.

Move confidently between equivalent forms.

Convert percentages and solve percentage change problems.

Use prime factors, HCF and LCM to solve number problems.

Calculate with powers, roots and index rules.

Write and calculate with very large or very small numbers.

Simplify and calculate with exact irrational values.

Convert recurring decimals into exact fractions.

Estimate answers and use limits of accuracy.

Use letters for unknown values and substitute accurately.

Collect like terms and simplify algebraic expressions.

Expand brackets and reverse the process by factorising.

Solve equations by keeping both sides balanced.

Solve and represent inequalities on number lines.

Find ranges of values that satisfy a quadratic inequality.

Find patterns, nth terms and missing values.

Recognise and continue more complex patterns.

Use gradients, intercepts and equations of lines.

Plot and interpret curved quadratic graphs.

Recognise and interpret common graph shapes.

Interpret distance-time and other graphs in context.

Use graph shape to estimate rates and quantities.

Turn a quadratic into brackets and find both solutions.

Solve quadratics that do not factorise easily.

Find values that satisfy two equations at the same time.

Solve linked equations when one relationship is curved.

Rearrange formulae to isolate a chosen letter.

Simplify and calculate with fractions containing algebra.

Use function notation, mappings and inverse operations.

Use repeated calculations to approximate solutions.

Use algebra to show that a statement is always true.

Simplify ratios and divide amounts into given parts.

Connect ratios, fractions and proportions.

Recognise and solve relationships between changing quantities.

Calculate percentage increases, decreases and reverse percentages.

Use rate formulae and convert units correctly.

Work with density, pressure and other rates.

Model repeated percentage change, including compound interest.

Use scales to connect drawings and real measurements.

Use angle facts in lines, triangles and polygons.

Recognise and reason with 2D and 3D shapes.

Calculate measurements for common shapes and solids.

Use radius, diameter, circumference and area.

Describe reflections, rotations, translations and enlargements.

Use matching shapes and scale factors.

Find missing lengths in right-angled triangles.

Use sine, cosine and tangent to find angles and lengths.

Solve non-right-angled triangles.

Measure and solve three-figure bearing problems.

Interpret and draw views of three-dimensional shapes.

Convert lengths, areas, volumes and compound units.

Calculate parts of circles accurately.

Calculate measurements for prisms and curved solids.

Describe movement and solve geometric vector problems.

Use angle rules inside circles.

Build logical arguments using geometric facts.

Draw accurate constructions and regions.

Describe chance on a scale from impossible to certain.

Estimate probabilities using experimental results.

List outcomes clearly and calculate probabilities.

Organise overlapping groups and calculate probabilities.

Follow branches to solve combined probability problems.

Calculate probability when outcomes depend on earlier information.

Choose fair methods for gathering useful data.

Calculate and compare mean, median, mode and range.

Estimate averages from grouped frequency tables.

Read and create clear statistical displays.

Identify correlation and use lines of best fit.

Read patterns and trends over time.

Compare distributions and estimate quartiles.

Interpret frequency density and unequal class widths.