A level Maths practice problems, topic by topic
Free A level Maths pure practice questions, topic by topic, written by our tutors for Edexcel and right for AQA, OCR and the Edexcel International A level pure units too. Each question has a hint and a worked solution you reveal one step at a time, and each topic ends with an exam-style question with a mark scheme. For mechanics, use our Mechanics 1 practice.
On this page
Practice by topic
- Topic 1: Algebra and functionsIndices and surds, quadratics and the discriminant, the factor theorem, composite and inverse functions, and partial fractions. 8 questions and a free-response question.
- Topic 2: Coordinate geometry, sequences and the binomial expansionStraight lines and circles, arithmetic and geometric sequences and series, and the binomial expansion, including for any rational power. 8 questions and a free-response question.
- Topic 3: TrigonometryRadians, arc length and sector area, exact values, solving trigonometric equations, identities and the R cos(x − α) form. 8 questions and a free-response question.
- Topic 4: Exponentials and logarithmsThe laws of logarithms, solving exponential equations, e and natural logarithms, and exponential growth and decay models. 8 questions and a free-response question.
- Topic 5: DifferentiationDifferentiating powers, e<sup>x</sup> and ln x, the chain, product and quotient rules, tangents, stationary points and connected rates of change. 8 questions and a free-response question.
- Topic 6: IntegrationIntegrating powers, e<sup>x</sup>, 1/x and trigonometric functions, definite integrals and areas, substitution and integration by parts. 8 questions and a free-response question.
Ready for a full test? Take the free A level Maths mock exam: every topic, timed, marked as you go.
How it works
- Try first. Type your answer or pick an option, and it is marked straight away.
- Stuck? Open the hint before the solution. Then reveal the worked solution one step at a time, and stop as soon as you can finish it yourself.
- Mark your free-response answers with the scoring guide, point by point, the way exam readers do.
- Track your progress. Each topic above shows how many questions you have done, saved on this device.
- Share it with your tutor. Every topic page has a button that sends your score on WhatsApp. Tutors: send a topic link as homework, and ask for the score back.
The A level Maths exam format
| Section | Questions | Time | Score |
|---|---|---|---|
| Paper 1: Pure Mathematics 1 | Pure | 2 hours | 100 marks |
| Paper 2: Pure Mathematics 2 | Pure | 2 hours | 100 marks |
| Paper 3: Statistics and Mechanics | 50 marks each | 2 hours | 100 marks |
This is Pearson Edexcel A level Mathematics (9MA0). A calculator is allowed in all three papers, and a formula booklet is provided. AQA and OCR also set three 2-hour papers; Edexcel International A level splits the pure content into units P1 to P4.
Frequently asked questions
Are these A level Maths questions from real exams?
No. They are original questions written by our tutors in the style of the A level Maths exam, so we can give full worked solutions. For real exam questions, use the official A level Maths past papers, which we link to with their scoring guidelines.
Do I need an account?
No. Everything is free and there is no sign-up. Your progress is saved in your own browser on this device, and you can reset it on any unit page.
How should I use these alongside past papers?
Use the unit practice while you learn each topic, then move to timed past papers once you have covered most of the course. When a past paper question goes wrong, come back to that unit's questions.
Do these cover Year 1 and Year 2?
Yes. Each topic starts with Year 1 (AS) ideas, and the questions marked Challenge go into Year 2 content such as partial fractions, the binomial series and connected rates of change.
Is there statistics and mechanics practice?
Mechanics is covered chapter by chapter in our Edexcel IAL Mechanics 1 practice, which matches the A level mechanics content closely. Statistics practice is on our list.