A Level Maths Exam Questions By Topic

Practising exam questions by topic — Stage 3 of your A Level Maths journey — is one of the most effective ways to revise. Working topic by topic lets you target specific weaknesses and build confidence before moving on to full papers. Every question on this page is grouped by area of the specification and comes with a full mark scheme, so you can mark your own work honestly and spot exactly where you’re losing marks.

Stage 1

Learning

Video lessons

Stage 2

Practice

Worksheets

Stage 4

Past paper revision

Past papers

A* questions

Stage 3

Topic revision

Exam questions by topic

Revision notes

Topic summaries

Only follow this arrow when you have covered the whole curriculum.

Once all topics feel solid (and this will take nearly two years!), apply the skills under exam conditions with our past papers — mixed-topic practice is what trains you to recognise which method a question is asking for. If you need to revisit the theory before tackling questions, the revision notes have you covered.

Although these questions are predominantly from OCR, OCR MEI and Edexcel, they’re suitable for all UK A Level Maths qualifications unless otherwise stated.


Year	Strand	Topic	Title	Sheet 1 (From OCR)	Sheet 2 (From Edexcel)
1	Pure	Proof View topic summary	Proof	Questions Mark Scheme Worked Solutions	Questions Mark Scheme Worked Solutions
1	Pure	Indices View topic summary	Indices	Questions Mark Scheme Worked Solutions	Questions Mark Scheme Worked Solutions
1	Pure	Surds View topic summary	Surds	Questions Mark Scheme Worked Solutions	Questions Mark Scheme Worked Solutions
1	Pure	Quadratic Equations View topic summary	Completing the Square	Questions Mark Scheme Worked Solutions	Questions Mark Scheme Worked Solutions
1	Pure	Quadratic Inequalities and The Discriminant View topic summary	Inequalities	Questions Mark Scheme Worked Solutions	Questions Mark Scheme Worked Solutions
1	Pure	Quadratic Equations View topic summary	Simultaneous Equations	Questions Mark Scheme Worked Solutions	Questions Mark Scheme Worked Solutions
1	Pure	Quadratic Equations View topic summary	Stealth Quadratics	Questions Mark Scheme Worked Solutions	Not available
1	Pure	Quadratic Inequalities and The Discriminant View topic summary	The Discriminant	Questions Mark Scheme Worked Solutions	Questions Mark Scheme Worked Solutions
1	Pure	Quadratic Equations View topic summary	Modelling With Quadratic Functions	Not available	Questions Mark Scheme Worked Solutions
1	Pure	Straight Line Geometry View topic summary	Straight Lines	Questions Mark Scheme Worked Solutions	Questions Mark Scheme Worked Solutions
1	Pure	Quadratic Inequalities and The Discriminant View topic summary	Graphing Inequalities	Questions Mark Scheme Worked Solutions	Not available
1	Pure	Binomial Expansion View topic summary	Binomial Expansion	Questions Mark Scheme Worked Solutions	Questions Mark Scheme Worked Solutions
1	Pure	Polynomial Division And The Factor Theorem View topic summary	Polynomial Division and Factor Theorem	Questions Mark Scheme Worked Solutions	Questions Mark Scheme Worked Solutions
1	Pure	Circle Geometry View topic summary	Circles	Questions Mark Scheme Worked Solutions	Questions Mark Scheme Worked Solutions
1	Pure	Exponentials and Logarithms View topic summary	Laws of Logarithms and Logarithmic Equations	Questions Mark Scheme Worked Solutions	Questions Mark Scheme Worked Solutions
1	Pure	Exponentials and Logarithms View topic summary	Solving Exponential Equations	Questions Mark Scheme Worked Solutions	Questions Mark Scheme Worked Solutions
1	Pure	Exponentials and Logarithms View topic summary	Exponential and Logarithmic Equations	Questions Mark Scheme Worked Solutions	Not available
1	Pure	Exponentials and Logarithms View topic summary	Exponential Modelling	Questions Mark Scheme Worked Solutions	Questions Mark Scheme Worked Solutions
1	Pure	Exponentials and Logarithms View topic summary	Reduction To Linear Form	Questions Mark Scheme Worked Solutions	Questions Mark Scheme Worked Solutions
1	Pure	Transformations View topic summary	Transformation Of Functions	Questions Mark Scheme Worked Solutions	Questions Mark Scheme Worked Solutions
1	Pure	Trigonometry View topic summary	Sine and Cosine Rules and Area of a Triangle	Questions Mark Scheme Worked Solutions	Questions Mark Scheme Worked Solutions
1	Pure	Trigonometry View topic summary	Introduction To Trigonometric Equations	Questions Mark Scheme Worked Solutions	Not available
1	Pure	Trigonometry View topic summary	Trigonometric Equations and Identities	Questions Mark Scheme Worked Solutions	Questions Mark Scheme Worked Solutions
1	Pure	Vectors View topic summary	Vectors	Questions Mark Scheme Worked Solutions	Questions Mark Scheme Worked Solutions
1	Pure	Differentiation View topic summary	Differentiation (Mixed)	Questions Mark Scheme Worked Solutions	Not available
1	Pure	Differentiation View topic summary	Differentiation From First Principles	Questions Mark Scheme Worked Solutions	Not available
1	Pure	Differentiation View topic summary	Stationary Points	Questions Mark Scheme Worked Solutions	Questions Mark Scheme Worked Solutions
1	Pure	Differentiation View topic summary	Tangents and Normals to Curves	Questions Mark Scheme Worked Solutions	Questions Mark Scheme Worked Solutions
1	Pure	Differentiation View topic summary	Practical Applications of Differentiation	Questions Mark Scheme Worked Solutions	Questions Mark Scheme Worked Solutions
1	Pure	Integration View topic summary	Definite and Indefinite Integrals	Questions Mark Scheme Worked Solutions	Questions Mark Scheme Worked Solutions
1	Pure	Integration View topic summary	Finding the Equation of a Curve Given the Differential	Questions Mark Scheme Worked Solutions	Questions Mark Scheme Worked Solutions
1	Pure	Integration View topic summary	Area Between a Curve and the x-Axis	Questions Mark Scheme Worked Solutions	Questions Mark Scheme Worked Solutions
1	Pure	Integration View topic summary	Integration Mixed	Questions Mark Scheme Worked Solutions	Not available
1	Pure	Integration View topic summary	Mixed Calculus	Questions Mark Scheme Worked Solutions	Not available
1	Stats	Statistical Sampling View topic summary	Sampling and Data Collection	Questions Mark Scheme Worked Solutions	Questions Mark Scheme Worked Solutions
1	Stats	Graphical Representation of Data View topic summary	Statistical Diagrams and Measures	Questions Mark Scheme Worked Solutions	Questions Mark Scheme Worked Solutions
1	Stats	Averages and Spread View topic summary	Averages and Spread	Questions Mark Scheme Worked Solutions	Questions Mark Scheme Worked Solutions
1	Stats	Averages and Spread View topic summary	Linear Interpolation	Not available	Questions Mark Scheme Worked Solutions
1	Stats	Correlation And Regression	Correlation And Regression	Not available	Questions Mark Scheme Worked Solutions
1	Stats	Probability View topic summary	Intro to Probability	Questions Mark Scheme Worked Solutions	Not available
1	Stats	Discrete Distributions (inc. Binomial Distribution) View topic summary	Discrete Random Variables	Questions Mark Scheme Worked Solutions	Questions Mark Scheme Worked Solutions
1	Stats	Discrete Distributions (inc. Binomial Distribution) View topic summary	Binomial Distribution	Questions Mark Scheme Worked Solutions	Not available
1	Stats	Binomial Hypothesis Testing View topic summary	Binomial Hypothesis Testing	Questions Mark Scheme Worked Solutions	Questions Mark Scheme Worked Solutions
1	Stats	Binomial Hypothesis Testing View topic summary	Binomial Hypothesis Testing Problems	Questions Mark Scheme Worked Solutions	Not available
1	Mech	Resolving Forces and Newton's Second Law (F = ma) View topic summary	Connected Particles	Questions Mark Scheme Worked Solutions	Questions Mark Scheme Worked Solutions
1	Mech	Resolving Forces and Newton's Second Law (F = ma) View topic summary	Forces in Two Dimensions	Questions Mark Scheme Worked Solutions	Not available
1	Mech	Displacement-Time and Velocity-Time Graphs View topic summary	Kinematics (Velocity and Displacement Time Graphs)	Questions Mark Scheme Worked Solutions	Questions Mark Scheme Worked Solutions
1	Mech	Kinematics: Constant Acceleration (SUVAT) View topic summary	Kinematics with Constant Acceleration (SUVAT)	Questions Mark Scheme Worked Solutions	Questions Mark Scheme Worked Solutions
1	Mech	Kinematics: Constant Acceleration (SUVAT) View topic summary	Kinematics with Variable Acceleration	Questions Mark Scheme Worked Solutions	Questions Mark Scheme Worked Solutions
2	Pure	Proof By Contradiction View topic summary	Proof By Contradiction	Questions Mark Scheme Worked Solutions	Not available
2	Pure	Rational Expressions View topic summary	Partial Fractions	Questions Mark Scheme Worked Solutions	Questions Mark Scheme Worked Solutions
2	Pure	Rational Expressions View topic summary	Rational Functions and Polynomial Division	Questions Mark Scheme Worked Solutions	Questions Mark Scheme Worked Solutions
2	Pure	Functions View topic summary	Functions (Domain, Range and Inverse)	Questions Mark Scheme Worked Solutions	Questions Mark Scheme Worked Solutions
2	Pure	Functions View topic summary	The Modulus Function	Questions Mark Scheme Worked Solutions	Questions Mark Scheme Worked Solutions
2	Pure	Functions View topic summary	Multiple Transformations Of Functions	Questions Mark Scheme Worked Solutions	Questions Mark Scheme Worked Solutions
2	Pure	Sequences and Series View topic summary	Applied Sequences and Series	Questions Mark Scheme Worked Solutions	Questions Mark Scheme Worked Solutions
2	Pure	Sequences and Series View topic summary	Arithmetic Series	Questions Mark Scheme Worked Solutions	Questions Mark Scheme Worked Solutions
2	Pure	Sequences and Series View topic summary	General Binomial Expansion	Questions Mark Scheme Worked Solutions	Questions Mark Scheme Worked Solutions
2	Pure	Sequences and Series View topic summary	Geometric Sequences	Questions Mark Scheme Worked Solutions	Questions Mark Scheme Worked Solutions
2	Pure	Sequences and Series View topic summary	Inductive Sequences and Sigma Notation	Not available	Questions Mark Scheme Worked Solutions
2	Pure	Sequences and Series View topic summary	Mixed Sequences	Questions Mark Scheme Worked Solutions	Not available
2	Pure	Trigonometry: Compound and Double Angle Formulae View topic summary	Compound Angle Formulae (Rcos(x) and Rsin(x))	Questions Mark Scheme Worked Solutions	Questions Mark Scheme Worked Solutions
2	Pure	Trigonometry: Compound and Double Angle Formulae View topic summary	Compound Angle Formulae (Harder)	Questions Mark Scheme Worked Solutions	Not available
2	Pure	Trigonometry: Radians, Circle Sectors and Triangles View topic summary	Radians, Circle Sectors and Triangles	Questions Mark Scheme Worked Solutions	Questions Mark Scheme Worked Solutions
2	Pure	Trigonometry View topic summary	Small Angle Approximations	Questions Mark Scheme Worked Solutions	Not available
2	Pure	Trigonometry: Small Angle Approximations and Inverse Trig Functions View topic summary	Solving Equations Using Compound Angle Formulae	Questions Mark Scheme Worked Solutions	Not available
2	Pure	Trigonometry: Secant, Cosecant and Cotangent View topic summary	Reciprocal Trig Functions and Compound Angles	Questions Mark Scheme Worked Solutions	Questions Mark Scheme Worked Solutions
2	Pure	Trigonometry: Compound and Double Angle Formulae View topic summary	Modelling With Trigonometric Functions	Not available	Questions Mark Scheme Worked Solutions
2	Pure	Further Differentiation View topic summary	Differentiation (Chain, Product and Quotient Rules) Introductory	Questions Mark Scheme Worked Solutions	Questions Mark Scheme Worked Solutions
2	Pure	Further Differentiation View topic summary	Differentiation (Chain, Product and Quotient Rules) Harder	Questions Mark Scheme Worked Solutions	Not available
2	Pure	Further Differentiation View topic summary	Implicit Differentiation	Questions Mark Scheme Worked Solutions	Questions Mark Scheme Worked Solutions
2	Pure	Further Differentiation View topic summary	Connected Rates of Change	Questions Mark Scheme Worked Solutions	Questions Mark Scheme Worked Solutions
2	Pure	Further Integration View topic summary	Standard Integrals of Form f(ax + b)	Questions Mark Scheme Worked Solutions	Not available
2	Pure	Further Integration View topic summary	Integration Involving Trigonometric Functions	Questions Mark Scheme Worked Solutions	Not available
2	Pure	Further Integration View topic summary	Integration of Rational Functions	Questions Mark Scheme Worked Solutions	Not available
2	Pure	Integration By Substitution View topic summary	Integration By Substitution	Questions Mark Scheme Worked Solutions	Questions Mark Scheme Worked Solutions
2	Pure	Further Integration View topic summary	Integration By Parts	Questions Mark Scheme Worked Solutions	Questions Mark Scheme Worked Solutions
2	Pure	Differential Equations View topic summary	Differential Equations	Questions Mark Scheme Worked Solutions	Questions Mark Scheme Worked Solutions
2	Pure	Further Integration View topic summary	Area Between a Curve and the y-Axis	Questions Mark Scheme Worked Solutions	Not available
2	Pure	Further Integration View topic summary	Areas Involving Two Curves	Questions Mark Scheme Worked Solutions	Not available
2	Pure	Parametric Equations View topic summary	Parametric Equations and Differentiation	Questions Mark Scheme Worked Solutions	Questions Mark Scheme Worked Solutions
2	Pure	Parametric Equations View topic summary	Integrating Parametric Functions	Not available	Questions Mark Scheme Worked Solutions
2	Pure	Numerical Methods View topic summary	Trapezium Rule	Questions Mark Scheme Worked Solutions	Questions Mark Scheme Worked Solutions
2	Pure	Numerical Methods View topic summary	Bounds on Integrals Using Rectangles	Questions Mark Scheme Worked Solutions	Not available
2	Pure	Numerical Methods View topic summary	Fixed Point Iteration	Questions Mark Scheme Worked Solutions	Questions Mark Scheme Worked Solutions
2	Pure	Numerical Methods View topic summary	The Newton-Raphson Method	Questions Mark Scheme Worked Solutions	Questions Mark Scheme Worked Solutions
2	Pure	Vectors in 3-d View topic summary	Vectors In 3d	Not available	Questions Mark Scheme Worked Solutions
2	Stats	Probability View topic summary	Conditional Probability and Venn Diagrams	Questions Mark Scheme Worked Solutions	Questions Mark Scheme Worked Solutions
2	Stats	Probability View topic summary	Conditional Probability with Tree Diagrams and Two-Way Tables	Questions Mark Scheme Worked Solutions	Not available
2	Stats	The Normal Distribution View topic summary	Normal Distribution	Questions Mark Scheme Worked Solutions	Not available
2	Stats	The Normal Distribution View topic summary	Hypothesis Testing for the Sample Mean of a Normal Distribution	Questions Mark Scheme Worked Solutions	Questions Mark Scheme Worked Solutions
2	Stats	The Normal Distribution View topic summary	Conditional Probability With The Normal Distribution	Not available	Questions Mark Scheme Worked Solutions
2	Stats	The Normal Distribution View topic summary	Normal Approximation to Binomial Distribution	Not available	Questions Mark Scheme Worked Solutions
2	Stats	The Normal Distribution View topic summary	Normal Approximation to Binomial Distribution (OCR Only)	Questions Mark Scheme	Not available
2	Stats	Further Correlation and Regression	Hypothesis Tests For Correlation	Not available	Questions Mark Scheme Worked Solutions
2	Mech	Vector Mechanics View topic summary	Variable Acceleration in Two Dimensions	Questions Mark Scheme Worked Solutions	Questions Mark Scheme Worked Solutions
2	Mech	Vector Mechanics View topic summary	Constant Acceleration in Two Dimensions	Questions Mark Scheme Worked Solutions	Questions Mark Scheme Worked Solutions
2	Mech	Vector Mechanics View topic summary	Forces and Motion in 3 Dimensions	Questions Mark Scheme Worked Solutions	Not available
2	Mech	Projectiles View topic summary	Projectiles	Questions Mark Scheme Worked Solutions	Questions Mark Scheme Worked Solutions
2	Mech	Resolving Non-Perpendicular Forces View topic summary	Resolving Non-Perpendicular Forces at a Point	Questions Mark Scheme Worked Solutions	Not available
2	Mech	Resolving Non-Perpendicular Forces View topic summary	Statics and Dynamics in 2d Without Friction	Questions Mark Scheme Worked Solutions	Not available
2	Mech	Resolving Non-Perpendicular Forces View topic summary	Statics and Dynamics in 2d With Friction	Questions Mark Scheme Worked Solutions	Questions Mark Scheme Worked Solutions
2	Mech	Resolving Non-Perpendicular Forces View topic summary	Connected Particles With Friction	Not available	Questions Mark Scheme Worked Solutions
2	Mech	Moments View topic summary	Moments In 1 Dimension	Questions Mark Scheme Worked Solutions	Questions Mark Scheme Worked Solutions
2	Mech	Moments View topic summary	Moments in 2 Dimensions	Questions Mark Scheme Worked Solutions	Questions Mark Scheme Worked Solutions
2	Mech	Moments View topic summary	Problem Solving with Moments in 1 and 2 Dimensions	Questions Mark Scheme Worked Solutions	Not available

Practising exam questions by topic is one of the most effective ways to strengthen your understanding of A Level Maths. Instead of working through full papers, this approach allows you to focus on specific areas of the course, helping you master individual topics and build confidence step by step.

This page provides a large collection of carefully selected A Level Maths exam questions organised by topic, making it easy to target your revision. Whether you are revisiting a difficult area or reinforcing recently learned content, working through grouped questions helps you recognise patterns and develop the problem-solving skills needed for exam success.

Once you feel confident with a topic, it is important to apply your knowledge in full exam conditions. You can do this by attempting our A Level Maths past papers, where topics are mixed together just as they are in the real exam. This helps you practise selecting the correct method and improves your overall exam technique.

If you need support with the underlying theory, our A Level Maths revision notes provide clear explanations, key methods, and worked examples to guide your understanding. For a more structured approach, The Ultimate Study Tool for A Level Maths offers a complete set of video lessons, practice questions, and fully worked solutions, ideal for building strong foundations across the course.

For Edexcel students, you can also use the Edexcel Exam Analyser after completing a paper to identify weaker topics and then return here to practise them in a focused way.

By combining targeted topic practice with full papers and structured learning resources, you can systematically improve your performance and gain confidence across every area of A Level Maths.

Although the following questions are predominantly from the OCR, OCR MEI and Edexcel exam boards, they are suitable practice for all UK A Level Maths qualifications unless otherwise stated.