A-Level Maths practice papers (AQA, Edexcel, OCR)

ExamTeX generates printable A-Level Maths mock papers matching the structure used by AQA, Edexcel, and OCR — two pure mathematics papers plus the applied paper covering statistics and mechanics, each two hours and 100 marks. Upload your specification, notes, or a past paper, and ExamTeX generates fresh questions with a full mark scheme using method and accuracy marks, the way real mark schemes are written. Every expression compiles through LaTeX, so surds, integrals, and vectors print exactly as they do on the real paper.

Paper 1 — Pure Mathematics 1

Proof, algebra and functions, coordinate geometry, sequences, trigonometry, exponentials and logarithms, differentiation, integration, vectors.

Marks: 100 marksTime: 2hWeight: ~33% of A-Level

Paper 2 — Pure Mathematics 2

Continues the pure content: numerical methods, parametric equations, sequences and series, further calculus including integration techniques.

Marks: 100 marksTime: 2hWeight: ~33% of A-Level

Paper 3 — Statistics & Mechanics

Section A: statistical sampling, distributions, hypothesis testing, and the large data set. Section B: kinematics, forces, Newton's laws, moments.

Marks: 100 marksTime: 2hWeight: ~33% of A-Level

Sample question with mark scheme

Pure: The curve CC has equation y=x36x2+9x+2y = x^3 - 6x^2 + 9x + 2. (a) Find dydx\frac{dy}{dx}. [2] (b) Find the coordinates of the stationary points of CC. [3] (c) Determine the nature of each stationary point. [3]
Show mark scheme
(a) M1 for attempting to differentiate (powers reduced by one); A1 for dy/dx = 3x² − 12x + 9. (b) M1 for setting dy/dx = 0; M1 for solving 3(x−1)(x−3) = 0; A1 for stationary points (1, 6) and (3, 2). (c) M1 for a complete method (second derivative or sign change); A1 for d²y/dx² = 6x − 12, negative at x = 1 (maximum); A1 for positive at x = 3 (minimum).

Every generated paper includes a full mark scheme like this one.

Common mistakes A-Level Maths students make

  • Skipping working to save time and losing method marks — A-Level mark schemes award M marks for the approach even when the final answer is wrong.
  • Giving calculator decimals where the question demands exact values (surds, fractions, or in terms of $\pi$ or $e$).
  • In statistics, quoting a hypothesis test conclusion without comparing the test statistic or p-value to the critical value in context.
  • In mechanics, omitting the force diagram — errors in sign conventions almost always trace back to a missing or rushed diagram.

Frequently Asked Questions

Which exam boards does ExamTeX cover for A-Level Maths?

AQA, Edexcel, and OCR all follow the same Department for Education content with minor structural differences. Upload your board's specification or a past paper and ExamTeX matches its question style, mark allocations, and paper structure.

Do the mark schemes use M and A marks like real ones?

Yes — generated mark schemes separate method marks (for the approach) from accuracy marks (for correct values), so self-grading mirrors how an examiner would award partial credit for correct method with arithmetic slips.

Does it cover both statistics and mechanics?

Yes — Paper 3-style papers include both sections: sampling, distributions, and hypothesis testing on the statistics side; kinematics, forces, and moments on the mechanics side. You can also generate single-topic drills, such as a pure integration set.

Can it generate further maths questions?

ExamTeX generates from what you upload — if you upload Further Maths notes (complex numbers, matrices, further calculus), it will generate questions on that content. The structured A-Level format works best for the standard Maths A-Level.

How should I use generated papers alongside real past papers?

Sit the real past papers first — they are the gold standard. Generated papers solve the running-out problem: once you have done every real paper (or want a fresh attempt at a weak topic without re-sitting questions you remember), generate new ones in the same format.

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