Predicted paper
Predicted Paper — Paper 1
A-Level Mathematics · AQA-style · 90 minutes · 40 marks
Prediction type: predicted_paper · Evidence mode: limited · This paper is a conservative derived exam-style forecast from syllabus patterns. It is not a guarantee.
71
0–100 model (higher = more demanding)
- Integration by substitution
- Binomial expansion (general n)
- Vectors in geometry
- Modelling with exponentials
- Hypothesis testing basics
I completed a StudyVector A-Level Mathematics derived predicted-practice paper (2026) and scored 0/40. This is practice-only and not an official paper:
Section A
Question A1 (4 marks)
Expand (1 + 2x)⁴ in ascending powers of x up to x³.
Question A2 (3 marks)
Find ∫ (3x² + 2) dx.
Question A3 (5 marks)
A curve has dy/dx = 6x² − 4. The curve passes through (1, 3). Find the equation of the curve.
Section B
Question B1 (1 mark)
Which of these is the derivative of ln(3x)?
Question B2 (6 marks)
Prove by contradiction that √2 is irrational. (You may assume: if n² is even then n is even.)
Question B3 (6 marks)
Vectors a = (2, 1, −1) and b = (1, 3, 2). Find the cosine of the angle between a and b.
Section C
Question C1 (5 marks)
A population P grows such that dP/dt = 0.04P. Given P = 500 when t = 0, solve for P in terms of t.
Question C2 (5 marks)
Use the trapezium rule with 4 strips to estimate ∫₀² x² dx. Comment on whether your estimate is an over- or under-estimate.
Question C3 (5 marks)
A hypothesis test uses a 5% significance level. Explain what is meant by a Type I error in this context.
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