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Direct answer
This page hosts StudyVector’s independent 2027 A-Level Mathematics Paper 1 predicted-practice paper modelled on 9MA0/01,100 marks over 120 minutes. Predicted focus topics: binomial-expansion, trigonometric-equations, differentiation-and-optimisation, exponential-and-log-modelling, numerical-methods. It is not an official paper, not a leaked paper and not a guarantee — students should still revise the full specification and verify against official past papers from Pearson Edexcel.
- Qualification
- A-Level Mathematics
- Exam board model
- Pearson Edexcel
- Paper code
- 9MA0/01
- Total marks
- 100 marks
- Time allowed
- 120 minutes
- Last reviewed
- 16 May 2026
StudyVector is independent revision support, not affiliated with AQA, Edexcel, OCR, JCQ or any exam provider. Always verify topic coverage with your exam-board specification.
Predicted paper
Edexcel A-Level Maths 2027 Predicted Practice Paper — Paper 1
A-Level Mathematics · Edexcel-style · 120 minutes · 100 marks
Modelled component: 9MA0/01 · Calculator permitted
9MA0/01 model: 100 marks, 120 minutes.
Prediction type: predicted_paper · Evidence mode: historical · Full-length original StudyVector predicted-practice paper modelled on public exam-board structure. It is not official, leaked or guaranteed.
Evidence basis: public exam-board specification structure, historical topic weighting patterns, StudyVector practice-quality review.
AI-generated practice paper. Not an official Edexcel-style paper, not leaked exam content, and not an exam-board endorsement.
76
0–100 model (higher = more demanding)
- binomial-expansion
- trigonometric-equations
- differentiation-and-optimisation
- exponential-and-log-modelling
- numerical-methods
- proof
Preview mode
0/14 questions attempted · score 0/100 (0%)
Answer ALL questions. Write your answers in the spaces provided. You must write down all the stages in your working.
Section A: Pure Mathematics
Pure mathematics questions with a gradient of difficulty. Answer ALL questions.
Question SECTION-A-PURE-MATHEMATICS1 (4 marks)
Solve the equation |2x - 3| = x + 4.
(Total for Question SECTION-A-PURE-MATHEMATICS1 is 4 marks)
Question SECTION-A-PURE-MATHEMATICS2 (4 marks)
An arithmetic sequence has first term 7. The sum of the first 20 terms is 1090. (a) Find the common difference d. (b) Hence find the 20th term of the sequence.
(Total for Question SECTION-A-PURE-MATHEMATICS2 is 4 marks)
Question SECTION-A-PURE-MATHEMATICS3 (5 marks)
Solve, for 0 <= x < 360 degrees, the equation 3 sin^2 x - 5 cos x - 1 = 0, giving your answers to 1 decimal place.
(Total for Question SECTION-A-PURE-MATHEMATICS3 is 5 marks)
Question SECTION-A-PURE-MATHEMATICS4 (6 marks)
(a) Given that y = (3x^2 + 1)/(2x - 1), find dy/dx, simplifying your answer. (b) Hence find the gradient of the curve at the point where x = 1.
(Total for Question SECTION-A-PURE-MATHEMATICS4 is 6 marks)
Question SECTION-A-PURE-MATHEMATICS5 (6 marks)
Find the exact area of the finite region bounded by the curve y = 4/x^2 + 3 sqrt(x), the x-axis, and the lines x = 1 and x = 4.
(Total for Question SECTION-A-PURE-MATHEMATICS5 is 6 marks)
Question SECTION-A-PURE-MATHEMATICS6 (7 marks)
The first three terms, in ascending powers of x, of the binomial expansion of (2 - (3x)/4)^10 are A + Bx + Cx^2. (a) Find the values of the integers A, B and C. (b) Find the coefficient of x^3 in the expansion.
(Total for Question SECTION-A-PURE-MATHEMATICS6 is 7 marks)
Question SECTION-A-PURE-MATHEMATICS7 (7 marks)
Solve the equation 2 log_3(x) - log_3(x - 2) = 2, showing full working and justifying which solutions are valid.
(Total for Question SECTION-A-PURE-MATHEMATICS7 is 7 marks)
Question SECTION-A-PURE-MATHEMATICS8 (8 marks)
A geometric series has first term 24 and second term 18. (a) Show that the common ratio is 3/4 and find the sum to infinity. (b) Find the smallest number of terms n for which the sum of the first n terms exceeds 90.
(Total for Question SECTION-A-PURE-MATHEMATICS8 is 8 marks)
Question SECTION-A-PURE-MATHEMATICS9 (8 marks)
A curve is defined by the parametric equations x = 2t - 1, y = t^2 + 3t, where t is a real parameter. (a) Find dy/dx in terms of t. (b) Find the equation of the tangent to the curve at the point where t = 2, giving your answer in the form y = mx + c. (c) Find a Cartesian equation of the curve in the form y = f(x).
(Total for Question SECTION-A-PURE-MATHEMATICS9 is 8 marks)
Question SECTION-A-PURE-MATHEMATICS10 (8 marks)
An open-topped box has a square base of side x cm and height h cm. The volume of the box is fixed at 500 cm^3. (a) Show that the total external surface area A cm^2 (base and four sides) is given by A = x^2 + 2000/x. (b) Use calculus to find the value of x that minimises A, and justify that it gives a minimum. (c) Find the minimum surface area.
(Total for Question SECTION-A-PURE-MATHEMATICS10 is 8 marks)
Question SECTION-A-PURE-MATHEMATICS11 (8 marks)
The population P of a colony of bacteria is modelled by P = 800 e^(kt), where t is the time in hours after the start of an experiment and k is a positive constant. When t = 5, P = 1250. (a) Find the value of k, giving your answer to 3 decimal places. (b) Find, to the nearest hour, the time at which the population first reaches 2000. (c) State one reason why this model may not be appropriate for large values of t.
(Total for Question SECTION-A-PURE-MATHEMATICS11 is 8 marks)
Question SECTION-A-PURE-MATHEMATICS12 (9 marks)
(a) Express 5 cos(t) - 12 sin(t) in the form R cos(t + a), where R > 0 and 0 < a < 90 degrees, giving R exactly and a to 2 decimal places. (b) Hence write down the minimum value of the expression 5 cos(t) - 12 sin(t) + 20 and the smallest positive value of t (in degrees) at which it occurs.
(Total for Question SECTION-A-PURE-MATHEMATICS12 is 9 marks)
Question SECTION-A-PURE-MATHEMATICS13 (9 marks)
The equation x^3 + x - 11 = 0 has a single real root, alpha. (a) Show that alpha lies between x = 2 and x = 2.1. (b) Taking x_0 = 2 as a first approximation, apply the Newton-Raphson method x_(n+1) = x_n - f(x_n)/f'(x_n) once to find x_1, and then once more to find x_2, giving x_2 to 4 decimal places. (c) By considering a suitable interval, show that your value of alpha is correct to 2 decimal places.
(Total for Question SECTION-A-PURE-MATHEMATICS13 is 9 marks)
Question SECTION-A-PURE-MATHEMATICS14 (11 marks)
(a) Prove that for any positive integer n, the difference between the squares of two consecutive odd numbers is always a multiple of 8. (b) Prove by contradiction that sqrt(3) is irrational.
(Total for Question SECTION-A-PURE-MATHEMATICS14 is 11 marks)
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