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AQA · GCSE · Mathematics

AQA GCSE Mathematics Syllabus

The complete AQA GCSE Mathematics specification mapped to 72 topics. Click any topic for free revision notes and practice questions.

72 topics2,881 practice questions72 revision guidesOfficial AQA syllabus →

Algebraic fractions

simplifying, adding, subtracting, multiplying and dividing

Angles

at a point, on a straight line, parallel lines and transversals

Basic probability

calculating, listing outcomes and sample space diagrams

Circle theorems

angles, tangents, chords and cyclic quadrilaterals

Circles

circumference, area and parts of a circle (arc, sector, segment)

Fractions

operations, converting between fractions, decimals and percentages

Linear inequalities

solving and representing on a number line

Percentages

percentage of amounts, percentage change, reverse percentages

Properties of 2D shapes

angles, triangles, quadrilaterals and polygons

Quadratic graphs

plotting, recognising features and interpreting

Ratio

simplifying, dividing quantities, solving problems

Real-life graphs

distance–time, speed–time, conversion and other contexts

Representing and interpreting data

bar charts, pie charts, pictograms, line graphs and stem-and-leaf diagrams

Scatter graphs

plotting, drawing and interpreting lines of best fit, correlation

Similarity

identifying similar shapes and using scale factors for lengths, areas and volumes

Statistical measures

mean, median, mode and range for discrete and grouped data

Straight-line graphs

plotting, equation y = mx + c, gradient and intercept

Surds

simplifying, rationalising the denominator and basic calculations

Transformations

translation, rotation, reflection and enlargement including fractional and negative scale factors

Types of number

integers, fractions, decimals, primes, factors and multiples

Units

converting between metric and imperial, compound measures (speed, density, pressure)

Vectors

notation, addition, subtraction and scalar multiplication

All topics

Bearings
Combined events, possibility spaces and mutually exclusive and exhaustive events
Comparing distributions using statistical measures and diagrams
Composite and inverse functions
Congruence and congruency criteria (SSS, SAS, ASA, RHS)
Constructions, loci and scale drawings
Cumulative frequency graphs and box plots
Direct and inverse proportion
Exact trigonometric values for 0°, 30°, 45°, 60°, 90°
Expanding single and double brackets
Factorising quadratic expressions
Frequency polygons and histograms with equal class widths
Gradients of curves and area under graphs including kinematics interpretation
Graphs of circles and other implicit curves
Highest common factor (HCF) and lowest common multiple (LCM)
Histograms with unequal class widths and frequency density
Interior and exterior angles of polygons
Iteration and iterative methods to solve equations
Laws of indices (including negative and fractional indices)
Maps, scale drawings and scale factors
Order of operations (BIDMAS/BODMAS)
Perimeter and area of 2D shapes including trapezium and compound shapes
Plans and elevations
Plotting and interpreting quadratic, cubic, reciprocal and other non-linear graphs
Pythagoras' theorem in 2D and 3D
Quadratic and other non-linear inequalities
Quadratic and other non-linear sequences including nth term
Rearranging formulae (changing the subject)
Relative frequency and experimental probability
Rounding, estimation and limits of accuracy
Sampling methods and questionnaire design
Sequences including arithmetic and geometric sequences, nth term
Simplifying and manipulating algebraic expressions
Simultaneous equations (linear)
Simultaneous equations involving one linear and one quadratic
Sine rule, cosine rule and area of a triangle using ½ab sinC
Solving equations graphically including finding intersections
Solving linear equations
Solving quadratic equations by completing the square and the quadratic formula
Solving quadratic equations by factorising
Standard form
Substitution into formulae and expressions
Time calculations and timetables
Transformations of graphs and functions
Tree diagrams including conditional probability
Trigonometry in 3D problems
Trigonometry in right-angled triangles (SOH CAH TOA)
Upper and lower bounds and error intervals
Venn diagrams and set notation in probability
Volume and surface area of prisms, cylinders, pyramids, cones and spheres

Common questions about AQA GCSE Mathematics

How many topics are in the AQA GCSE Mathematics syllabus?

Kramizo covers the AQA GCSE Mathematics syllabus in 72 topics, grouped into 22 units: Algebraic fractions, Angles, Basic probability, Circle theorems, Circles, Fractions, Linear inequalities, Percentages and others. Every topic has free practice questions.

How many practice questions are available for AQA GCSE Mathematics?

There are 2,881 practice questions across the 72 topics of AQA GCSE Mathematics on Kramizo, all free to answer and marked instantly with an explanation.

Are there revision notes for every AQA GCSE Mathematics topic?

Yes. All 72 topics in AQA GCSE Mathematics have full written revision notes, free to read without an account.

Are there practice exam papers for AQA GCSE Mathematics?

Yes — 4 full practice papers for AQA GCSE Mathematics, each with a mark scheme and sample answers, timed at 90 minutes. These are exam-board-aligned practice papers written by Kramizo, not official past papers.

Is Kramizo free for AQA GCSE Mathematics?

Yes. Revision notes and syllabus coverage are free to read with no account, and a free account gives you instantly-marked practice questions across every topic.

Where can I find the official AQA Mathematics syllabus?

The official AQA specification and past papers are published by the exam board at https://www.aqa.org.uk/find-past-papers-and-mark-schemes. Kramizo maps its topics to that specification but is not affiliated with AQA.

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