Is AQA A-Level Maths 2027 Predicted Practice Paper — Paper 1 an official exam paper?

No. It is an original StudyVector predicted-practice paper for revision. It is not official, leaked or guaranteed, and students should still revise the full specification.

How many marks and questions are in this predicted paper?

This paper has 100 marks across 14 questions and is designed for a 120-minute practice session.

What is the A-Level Mathematics Paper 1 format (7357/1)?

A-Level Mathematics Paper 1 (7357/1) is 100 marks over 120 minutes. 7357/1 model: 100 marks, 120 minutes.

Published 8 March 2026Updated 22 April 2026By Lizzie D., founderPrivacy Policy

Source note: use official specifications as the source of truth. StudyVector is an independent revision platform. AQA, Pearson Edexcel and OCR

Direct answer

This page hosts StudyVector’s independent 2027 A-Level Mathematics Paper 1 predicted-practice paper modelled on 7357/1,100 marks over 120 minutes. Predicted focus topics: Binomial expansion and validity of approximations, Parametric differentiation and tangents/normals, Partial fractions leading to integration, Trigonometric equations and the R alpha (Rcos/Rsin) method, Exponential growth/decay modelling and differential equations. 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 AQA.

Qualification: A-Level Mathematics
Exam board model: AQA
Paper code: 7357/1
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

AQA A-Level Maths 2027 Predicted Practice Paper — Paper 1

Q: What are the A-Level Mathematics Paper 1 predictions for 2027?

StudyVector's 2027 A-Level Mathematics Paper 1 predicted paper focuses on Binomial expansion and validity of approximations, Parametric differentiation and tangents/normals, Partial fractions leading to integration, Trigonometric equations and the R alpha (Rcos/Rsin) method, Exponential growth/decay modelling and differential equations, Numerical methods: iteration and Newton-Raphson. This is an independent, AQA-style predicted-practice paper modelled on the published specification — it is not a leaked paper and is not official.

Q: Which topics are likely to come up in A-Level Mathematics Paper 1 2027?

Based on the AQA-style structure and recent paper patterns, StudyVector's prediction prioritises: Binomial expansion and validity of approximations; Parametric differentiation and tangents/normals; Partial fractions leading to integration; Trigonometric equations and the R alpha (Rcos/Rsin) method; Exponential growth/decay modelling and differential equations; Numerical methods: iteration and Newton-Raphson. Students should still revise the full specification because exam boards rotate topics.

A-Level Mathematics · AQA-style · 120 minutes · 100 marks

Modelled component: 7357/1 · Calculator permitted

7357/1 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 AQA-style paper, not leaked exam content, and not an exam-board endorsement.

Predicted difficulty score (practice signal)

0–100 model (higher = more demanding)

Candidate focus topics (not guarantees)

Binomial expansion and validity of approximations
Parametric differentiation and tangents/normals
Partial fractions leading to integration
Trigonometric equations and the R alpha (Rcos/Rsin) method
Exponential growth/decay modelling and differential equations
Numerical methods: iteration and Newton-Raphson

Preview mode

0/14 questions attempted · score 0/100 (0%)

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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)
The line L has equation 3y - 2x = 12. The point A has coordinates (5, -1). (a) Find the gradient of L. [1] (b) Find an equation of the line through A that is perpendicular to L, giving your answer in the form ax + by + c = 0 where a, b and c are integers. [3]
(Total for Question SECTION-A-PURE-MATHEMATICS1 is 4 marks)
Question SECTION-A-PURE-MATHEMATICS2 (5 marks)
(a) Express (5x + 1) / ((x + 2)(x - 1)) in partial fractions. [3] (b) Hence find the integral of (5x + 1) / ((x + 2)(x - 1)) with respect to x, giving your answer in terms of natural logarithms and a constant of integration. [2]
(Total for Question SECTION-A-PURE-MATHEMATICS2 is 5 marks)
Question SECTION-A-PURE-MATHEMATICS3 (6 marks)
A geometric series has first term a and common ratio r, where |r| < 1. The sum of the first two terms is 8 and the sum to infinity is 9. (a) Show that r satisfies the equation 9r^2 - 1 = 0. [4] (b) Given that |r| < 1, find the two possible pairs of values of r and a. [2]
(Total for Question SECTION-A-PURE-MATHEMATICS3 is 6 marks)
Question SECTION-A-PURE-MATHEMATICS4 (7 marks)
(a) Find the binomial expansion of (4 - x)^(1/2) in ascending powers of x up to and including the term in x^2. Give each coefficient as an exact fraction. [4] (b) State the range of values of x for which the expansion is valid. [1] (c) Use your expansion with a suitable value of x to find an approximation for sqrt(3.9), giving your answer to 4 decimal places. [2]
(Total for Question SECTION-A-PURE-MATHEMATICS4 is 7 marks)
Question SECTION-A-PURE-MATHEMATICS5 (7 marks)
A curve has parametric equations x = t^2, y = t^3 - 3t, for t in the real numbers. (a) Find dy/dx in terms of t, simplifying your answer. [3] (b) Find the coordinates of the two points on the curve where the tangent is horizontal. [4]
(Total for Question SECTION-A-PURE-MATHEMATICS5 is 7 marks)
Question SECTION-A-PURE-MATHEMATICS6 (7 marks)
Solve the equation 2 sin^2(x) = 3 cos(x) for 0 <= x <= 360 degrees. Give your answers in degrees. [7]
(Total for Question SECTION-A-PURE-MATHEMATICS6 is 7 marks)
Question SECTION-A-PURE-MATHEMATICS7 (8 marks)
The function f is defined by f(x) = x^2 * e^(3x). (a) Find f'(x), giving your answer in a fully factorised form. [3] (b) Find the exact coordinates of the two stationary points of the curve y = f(x). [3] (c) Determine, with reasoning, the nature of the stationary point at x = 0. [2]
(Total for Question SECTION-A-PURE-MATHEMATICS7 is 8 marks)
Question SECTION-A-PURE-MATHEMATICS8 (8 marks)
(a) Express 3 sin(x) + 4 cos(x) in the form R sin(x + alpha), where R > 0 and 0 < alpha < 90 degrees. Give R exactly and alpha to 2 decimal places. [3] (b) Hence solve the equation 3 sin(x) + 4 cos(x) = 2 for 0 <= x <= 360 degrees, giving your answers to 1 decimal place. [5]
(Total for Question SECTION-A-PURE-MATHEMATICS8 is 8 marks)
Question SECTION-A-PURE-MATHEMATICS9 (8 marks)
Use integration by substitution, or otherwise, to evaluate the definite integral of x * sqrt(x^2 + 1) with respect to x, between the limits x = 0 and x = 2. Give your answer in an exact form. [8]
(Total for Question SECTION-A-PURE-MATHEMATICS9 is 8 marks)
Question SECTION-A-PURE-MATHEMATICS10 (8 marks)
The value, V thousand pounds (GBP), of a piece of machinery t years after purchase is modelled by V = 45 e^(-0.18t) + 5. (a) State the value of the machinery when it is new. [1] (b) Find the value of the machinery, to the nearest GBP 100, after 6 years. [2] (c) Find the rate at which the value is decreasing, in GBP per year, exactly 6 years after purchase. Give your answer to the nearest GBP 10. [3] (d) Explain why, according to this model, the value of the machinery never falls below GBP 5000. [1]
(Total for Question SECTION-A-PURE-MATHEMATICS10 is 8 marks)
Question SECTION-A-PURE-MATHEMATICS11 (9 marks)
The equation x^3 - 5x - 3 = 0 has a root alpha lying between x = 2 and x = 3. (a) Taking f(x) = x^3 - 5x - 3, evaluate f(2) and f(3) and hence explain why a root of the equation lies in the interval [2, 3]. [3] (b) Using the Newton-Raphson method with x0 = 2.5, find x1 and x2, giving each to 5 decimal places. [4] (c) State the value of alpha correct to 3 decimal places, and justify that degree of accuracy. [2]
(Total for Question SECTION-A-PURE-MATHEMATICS11 is 9 marks)
Question SECTION-A-PURE-MATHEMATICS12 (9 marks)
Relative to a fixed origin O, the points A, B and C have position vectors a = 2i - j + 3k, b = 5i + 2j - k and c = 8i + pj + qk, where p and q are constants. (a) Find the vector AB and its exact magnitude. [3] (b) Given that AC = 2 AB, find the values of p and q. [3] (c) Find the exact distance OC. [3]
(Total for Question SECTION-A-PURE-MATHEMATICS12 is 9 marks)
Question SECTION-A-PURE-MATHEMATICS13 (7 marks)
Solve the equation 3^(2x) - 10(3^x) + 9 = 0, giving the exact values of x. [7]
(Total for Question SECTION-A-PURE-MATHEMATICS13 is 7 marks)
Question SECTION-A-PURE-MATHEMATICS14 (7 marks)
A curve has equation y = x^3 - 6x^2 + 9x + 2. (a) Find dy/dx. [2] (b) Find the x-coordinates of the stationary points of the curve. [2] (c) Determine the nature of each stationary point using the second derivative. [3]
(Total for Question SECTION-A-PURE-MATHEMATICS14 is 7 marks)

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Direct answer

Qualification

A-Level Mathematics

Exam board model

AQA

Paper code

7357/1

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.

AQA A-Level Maths 2027 Predicted Practice Paper — Paper 1

A-Level Mathematics · AQA-style · 120 minutes · 100 marks

Modelled component: 7357/1 · Calculator permitted

7357/1 model: 100 marks, 120 minutes.

Evidence basis: public exam-board specification structure, historical topic weighting patterns, StudyVector practice-quality review.

Section A: Pure Mathematics

Pure mathematics questions with a gradient of difficulty. Answer ALL questions.

Question SECTION-A-PURE-MATHEMATICS1 (4 marks)

The line L has equation 3y - 2x = 12. The point A has coordinates (5, -1). (a) Find the gradient of L. [1] (b) Find an equation of the line through A that is perpendicular to L, giving your answer in the form ax + by + c = 0 where a, b and c are integers. [3]

(Total for Question SECTION-A-PURE-MATHEMATICS1 is 4 marks)

Question SECTION-A-PURE-MATHEMATICS2 (5 marks)

(a) Express (5x + 1) / ((x + 2)(x - 1)) in partial fractions. [3] (b) Hence find the integral of (5x + 1) / ((x + 2)(x - 1)) with respect to x, giving your answer in terms of natural logarithms and a constant of integration. [2]

(Total for Question SECTION-A-PURE-MATHEMATICS2 is 5 marks)

Question SECTION-A-PURE-MATHEMATICS3 (6 marks)

A geometric series has first term a and common ratio r, where |r| < 1. The sum of the first two terms is 8 and the sum to infinity is 9. (a) Show that r satisfies the equation 9r^2 - 1 = 0. [4] (b) Given that |r| < 1, find the two possible pairs of values of r and a. [2]

(Total for Question SECTION-A-PURE-MATHEMATICS3 is 6 marks)

Question SECTION-A-PURE-MATHEMATICS4 (7 marks)

(a) Find the binomial expansion of (4 - x)^(1/2) in ascending powers of x up to and including the term in x^2. Give each coefficient as an exact fraction. [4] (b) State the range of values of x for which the expansion is valid. [1] (c) Use your expansion with a suitable value of x to find an approximation for sqrt(3.9), giving your answer to 4 decimal places. [2]

(Total for Question SECTION-A-PURE-MATHEMATICS4 is 7 marks)

Question SECTION-A-PURE-MATHEMATICS5 (7 marks)

A curve has parametric equations x = t^2, y = t^3 - 3t, for t in the real numbers. (a) Find dy/dx in terms of t, simplifying your answer. [3] (b) Find the coordinates of the two points on the curve where the tangent is horizontal. [4]

(Total for Question SECTION-A-PURE-MATHEMATICS5 is 7 marks)

Question SECTION-A-PURE-MATHEMATICS6 (7 marks)

Solve the equation 2 sin^2(x) = 3 cos(x) for 0 <= x <= 360 degrees. Give your answers in degrees. [7]

(Total for Question SECTION-A-PURE-MATHEMATICS6 is 7 marks)

Question SECTION-A-PURE-MATHEMATICS7 (8 marks)

The function f is defined by f(x) = x^2 * e^(3x). (a) Find f'(x), giving your answer in a fully factorised form. [3] (b) Find the exact coordinates of the two stationary points of the curve y = f(x). [3] (c) Determine, with reasoning, the nature of the stationary point at x = 0. [2]

(Total for Question SECTION-A-PURE-MATHEMATICS7 is 8 marks)

Question SECTION-A-PURE-MATHEMATICS8 (8 marks)

(a) Express 3 sin(x) + 4 cos(x) in the form R sin(x + alpha), where R > 0 and 0 < alpha < 90 degrees. Give R exactly and alpha to 2 decimal places. [3] (b) Hence solve the equation 3 sin(x) + 4 cos(x) = 2 for 0 <= x <= 360 degrees, giving your answers to 1 decimal place. [5]

(Total for Question SECTION-A-PURE-MATHEMATICS8 is 8 marks)

Question SECTION-A-PURE-MATHEMATICS9 (8 marks)

Use integration by substitution, or otherwise, to evaluate the definite integral of x * sqrt(x^2 + 1) with respect to x, between the limits x = 0 and x = 2. Give your answer in an exact form. [8]

(Total for Question SECTION-A-PURE-MATHEMATICS9 is 8 marks)

Question SECTION-A-PURE-MATHEMATICS10 (8 marks)

The value, V thousand pounds (GBP), of a piece of machinery t years after purchase is modelled by V = 45 e^(-0.18t) + 5. (a) State the value of the machinery when it is new. [1] (b) Find the value of the machinery, to the nearest GBP 100, after 6 years. [2] (c) Find the rate at which the value is decreasing, in GBP per year, exactly 6 years after purchase. Give your answer to the nearest GBP 10. [3] (d) Explain why, according to this model, the value of the machinery never falls below GBP 5000. [1]

(Total for Question SECTION-A-PURE-MATHEMATICS10 is 8 marks)

Question SECTION-A-PURE-MATHEMATICS11 (9 marks)

The equation x^3 - 5x - 3 = 0 has a root alpha lying between x = 2 and x = 3. (a) Taking f(x) = x^3 - 5x - 3, evaluate f(2) and f(3) and hence explain why a root of the equation lies in the interval [2, 3]. [3] (b) Using the Newton-Raphson method with x0 = 2.5, find x1 and x2, giving each to 5 decimal places. [4] (c) State the value of alpha correct to 3 decimal places, and justify that degree of accuracy. [2]

(Total for Question SECTION-A-PURE-MATHEMATICS11 is 9 marks)

Question SECTION-A-PURE-MATHEMATICS12 (9 marks)

Relative to a fixed origin O, the points A, B and C have position vectors a = 2i - j + 3k, b = 5i + 2j - k and c = 8i + pj + qk, where p and q are constants. (a) Find the vector AB and its exact magnitude. [3] (b) Given that AC = 2 AB, find the values of p and q. [3] (c) Find the exact distance OC. [3]

(Total for Question SECTION-A-PURE-MATHEMATICS12 is 9 marks)

Question SECTION-A-PURE-MATHEMATICS13 (7 marks)

Solve the equation 3^(2x) - 10(3^x) + 9 = 0, giving the exact values of x. [7]

(Total for Question SECTION-A-PURE-MATHEMATICS13 is 7 marks)

Question SECTION-A-PURE-MATHEMATICS14 (7 marks)

A curve has equation y = x^3 - 6x^2 + 9x + 2. (a) Find dy/dx. [2] (b) Find the x-coordinates of the stationary points of the curve. [2] (c) Determine the nature of each stationary point using the second derivative. [3]

(Total for Question SECTION-A-PURE-MATHEMATICS14 is 7 marks)