Fractions
Practise reading fractions, finding fractions of amounts and calculating with fractions. Learn from worked examples, then try a short practice set.
Foundation and Higher · 4 examples + 8 questions · Online and printable
Practise fractionsGCSE maths practice by topic
Choose a skill to understand the method, see a worked example for each method, then try a short practice set. All 15 guides are free to read and print without an account.
Each guide takes about 25–50 minutes and links to interactive workouts. Core skills are useful across Foundation and Higher; harder extensions are labelled.
Simplifying, expanding and factorising
See how like terms, brackets and common factors connect. Learn to simplify expressions and check a factorisation by expanding it again.
Foundation and Higher · 3 examples + 8 questions · Online and printable
Practise simplifying, expanding and factorisingPercentages
Build confidence with percentages of amounts, percentage changes and reverse percentages. Try the examples, check the working, then choose the part of percentages you want to practise next.
Foundation and Higher · 3 examples + 8 questions · Online and printable
Practise percentagesRatio
Practise simplifying ratios, sharing quantities and connecting ratios to fractions. Each example includes full working, with follow-on workouts and a teacher worksheet builder.
Foundation and Higher · 4 examples + 8 questions · Online and printable
Practise ratioAngles
Use angle facts on straight lines, around points, in parallel lines and in polygons. The diagrams below show the given information; worked answers stay closed until you choose to view them.
Foundation and Higher · 3 examples + 8 questions · Online and printable
Practise anglesStraight-line graphs
Connect a table of coordinates, a plotted straight line and its equation. Practise finding gradients and intercepts, then interpreting what they tell you.
Foundation and Higher · 3 examples + 8 questions · Online and printable
Practise straight-line graphsLinear equations
Build from one-step equations to equations with brackets or unknowns on both sides. A balanced calculation keeps the two sides equal.
Foundation and Higher · 3 examples + 8 questions · Online and printable
Practise linear equationsSubstitution
Replace letters with their given values to evaluate expressions and formulae. Pay special attention to negative values and powers.
Foundation and Higher · 3 examples + 8 questions · Online and printable
Practise substitutionSimultaneous equations
Find values that make two linear equations true at the same time. Work from matching coefficients to elimination and a context problem.
Foundation and Higher · 2 examples + 8 questions · Online and printable
Practise simultaneous equationsQuadratic equations
Factorise a quadratic, use the zero-product rule and check both solutions. This set focuses on factorisable equations, with a Higher extension using the quadratic formula.
Foundation and Higher · 2 examples + 8 questions · Online and printable
Practise quadratic equationsArea, perimeter and volume
Choose a measurement before choosing a formula: perimeter is a boundary length, area is surface covered and volume is space occupied.
Foundation and Higher · 3 examples + 8 questions · Online and printable
Practise area, perimeter and volumePythagoras
Use the relationship between the three sides of a right-angled triangle. Apply it to missing sides, diagonals and practical problems.
Foundation and Higher · 2 examples + 8 questions · Online and printable
Practise pythagorasRight-angled trigonometry
Choose sine, cosine or tangent from the sides involved. Practise finding a missing side and an acute angle, then apply the same ideas in contexts.
Foundation and Higher · 2 examples + 8 questions · Online and printable
Practise right-angled trigonometryProbability
Describe chances as fractions, decimals or percentages and check that possible outcomes account for the whole event.
Foundation and Higher · 3 examples + 8 questions · Online and printable
Practise probabilityAverages
Compare mean, median and mode, and use the range to describe spread. Extend the method to data given in frequency tables.
Foundation and Higher · 4 examples + 8 questions · Online and printable
Practise averagesBrowse all interactive workouts · Daily mixed practice · Explore revision packs and checks
These selected skills do not cover the full specification or predict a grade. See the AQA GCSE maths subject content for one official specification; follow your own school’s tier and exam-board guidance. This resource is not endorsed by an exam board.