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A-Level Mathematics Practice Test Online
A-Level Maths practice test covering all three components: Pure Mathematics (algebra, calculus, trigonometry, vectors), Statistics (data, distributions, hypothesis testing), and Mechanics (kinematics, forces, moments). Suitable for AQA, Edexcel and OCR.
About this A-Level Math practice test
A-Level Maths is one of the most demanding UK qualifications and one of the highest-traffic revision topics online. This generator builds exam-style questions on Pure, Statistics and Mechanics topics — each with a full worked solution. Whether you're targeting C1 topics or HL calculus, you can generate a focused practice paper in under a minute.
A-Level Mathematics Practice Test sample questions
These starter questions help you launch a math mock test quickly. Swap them with your own worksheet, notebook, or textbook questions any time.
1. Differentiate f(x) = 3x⁴ − 5x² + 2x − 7 with respect to x. 2. Find ∫(6x² + 4x − 1) dx. 3. Solve 2sin²θ − sinθ − 1 = 0 for 0° ≤ θ ≤ 360°. 4. The curve y = x³ − 3x + 2. Find the coordinates of the stationary points and classify each. 5. Prove by induction that the sum of the first n odd numbers is n². 6. A particle moves in a straight line. Its displacement is s = 2t³ − 9t² + 12t. Find the times when the particle is at rest. 7. Given that P(A) = 0.4, P(B) = 0.3 and A and B are independent, find P(A ∪ B). 8. X ~ B(20, 0.35). Find P(X ≤ 7). 9. Expand (1 + 2x)⁵ using the binomial theorem, giving the first four terms. 10. Find the equation of the tangent to the curve y = x² − 3x + 1 at the point where x = 2. 11. Solve the differential equation dy/dx = 2xy, given y = 1 when x = 0. 12. A force of 12 N acts at 30° above the horizontal. Find the horizontal and vertical components. 13. Use the trapezium rule with 4 strips to estimate ∫₀² √(1 + x²) dx. 14. Find the exact value of cos(75°) using the addition formula. 15. The random variable X has mean 5 and variance 4. Find P(4 < X < 6) given X ~ N(5, 4).
Related search topics
This page is built for students looking for a-level mathematics practice test, chapter practice, and quick school exam revision.
Why this practice page is useful
A-Level Maths examiners reward method marks — seeing worked solutions trains you to show steps correctly, not just get the right answer.
The AI generates topic-specific questions so you can drill weak areas (e.g. integration by parts, normal distribution) without wading through a full past paper.
Statistics and Mechanics questions require interpreting context — AI-generated real-world scenarios build that skill faster than formula drills alone.
A-Level Math units covered
Typical A-Level syllabus units this practice test draws from. Paste questions from any unit below to generate a focused mock test.
- Pure: Algebra and functions
- Pure: Coordinate geometry
- Pure: Sequences and series
- Pure: Trigonometry
- Pure: Exponentials and logarithms
- Pure: Differentiation and integration
- Pure: Vectors
- Statistics: Statistical sampling and data
- Statistics: Probability distributions (Binomial, Normal)
- Statistics: Hypothesis testing
- Mechanics: Kinematics
- Mechanics: Forces and Newton's Laws
- Mechanics: Moments
How to use this a-level mathematics practice test page
1. Open the ready-made starter and generate the test.
2. Review the output as a quick A-Level math mock test.
3. Replace the starter with your own previous-year exam questions for more accurate revision.
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