Is AQA A-Level Maths 2027 Predicted Practice Paper — Paper 2 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 13 questions and is designed for a 120-minute practice session.

What is the A-Level Mathematics Paper 2 format (7357/2)?

A-Level Mathematics Paper 2 (7357/2) is 100 marks over 120 minutes. 7357/2 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 2 predicted-practice paper modelled on 7357/2,100 marks over 120 minutes. Predicted focus topics: integration-by-parts-and-substitution, parametric-differentiation, binomial-expansion-and-approximation, connected-particles-on-inclined-planes, projectile-motion. 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: 7357/2
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 2

Q: What are the A-Level Mathematics Paper 2 predictions for 2027?

StudyVector's 2027 A-Level Mathematics Paper 2 predicted paper focuses on integration-by-parts-and-substitution, parametric-differentiation, binomial-expansion-and-approximation, connected-particles-on-inclined-planes, projectile-motion, moments-and-rigid-body-equilibrium. 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 2 2027?

Based on the AQA-style structure and recent paper patterns, StudyVector's prediction prioritises: integration-by-parts-and-substitution; parametric-differentiation; binomial-expansion-and-approximation; connected-particles-on-inclined-planes; projectile-motion; moments-and-rigid-body-equilibrium. Students should still revise the full specification because exam boards rotate topics.

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

Modelled component: 7357/2 · Calculator permitted

7357/2 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)

integration-by-parts-and-substitution
parametric-differentiation
binomial-expansion-and-approximation
connected-particles-on-inclined-planes
projectile-motion
moments-and-rigid-body-equilibrium

Preview mode

0/13 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. Answer ALL questions.

Question SECTION-A-PURE-MATHEMATICS1 (6 marks)
The curve C has equation y = 3x^3 - 5x^2 - 4x + 2. (a) Find dy/dx. (2 marks) (b) Find the exact x-coordinates of the two stationary points of C, giving your answers as surds where appropriate. (4 marks)
(Total for Question SECTION-A-PURE-MATHEMATICS1 is 6 marks)
Question SECTION-A-PURE-MATHEMATICS2 (6 marks)
(a) Express 5 cos(theta) - 12 sin(theta) in the form R cos(theta + alpha), where R > 0 and 0 < alpha < 90 degrees. Give R exactly and alpha to one decimal place. (3 marks) (b) Hence solve the equation 5 cos(theta) - 12 sin(theta) = 4 for 0 <= theta <= 360 degrees, giving your answers to one decimal place. (3 marks)
(Total for Question SECTION-A-PURE-MATHEMATICS2 is 6 marks)
Question SECTION-A-PURE-MATHEMATICS3 (7 marks)
A geometric series has first term a and common ratio r, where |r| < 1. The sum to infinity of the series is 8, and the second term of the series is 2. (a) Show that r satisfies the equation 8r^2 - 8r + 2 = 0, and hence find the value of r. (5 marks) (b) Hence find the value of a. (2 marks)
(Total for Question SECTION-A-PURE-MATHEMATICS3 is 7 marks)
Question SECTION-A-PURE-MATHEMATICS4 (7 marks)
(a) Use the substitution u = 1 + x^2 to find the exact value of the integral from 0 to 1 of [x / (1 + x^2)] dx. (4 marks) (b) Find the integral of x e^(2x) with respect to x, using integration by parts. (3 marks)
(Total for Question SECTION-A-PURE-MATHEMATICS4 is 7 marks)
Question SECTION-A-PURE-MATHEMATICS5 (7 marks)
The functions f and g are defined by f(x) = 2x - 3 and g(x) = x^2 + 1, for all real x. (a) Find fg(x) and gf(x), simplifying each. (3 marks) (b) Solve the equation fg(x) = gf(x). (4 marks)
(Total for Question SECTION-A-PURE-MATHEMATICS5 is 7 marks)
Question SECTION-A-PURE-MATHEMATICS6 (7 marks)
A curve is defined parametrically by x = t^2 - 2t, y = t^3 - 3t, for t a real parameter. (a) Find dy/dx in terms of t. (3 marks) (b) Find the value(s) of t at which the tangent to the curve is parallel to the x-axis. (2 marks) (c) Find the equation of the tangent to the curve at the point where t = 2, giving your answer in the form y = mx + c. (2 marks)
(Total for Question SECTION-A-PURE-MATHEMATICS6 is 7 marks)
Question SECTION-A-PURE-MATHEMATICS7 (7 marks)
(a) Find the binomial expansion of (1 + 4x)^(1/2) in ascending powers of x, up to and including the term in x^3. State the range of values of x for which the expansion is valid. (5 marks) (b) By substituting a suitable value of x into your expansion, find an approximation for sqrt(1.4), giving your answer to 4 decimal places. (2 marks)
(Total for Question SECTION-A-PURE-MATHEMATICS7 is 7 marks)
Question SECTION-A-PURE-MATHEMATICS8 (8 marks)
(a) Prove by contradiction that sqrt(3) is irrational. (4 marks) (b) Solve the equation log_2(x) + log_2(x - 2) = 3, giving all valid solution(s). (4 marks)
(Total for Question SECTION-A-PURE-MATHEMATICS8 is 8 marks)

Section B: Mechanics

Mechanics modelling and problem-solving questions. Answer ALL questions.

Question SECTION-B-MECHANICS1 (8 marks)
A particle of mass 4 kg is held at rest on a rough horizontal plane. A constant horizontal force of magnitude 25 N is then applied to the particle. The coefficient of friction between the particle and the plane is 0.35. Take g = 9.8 m s^-2. (a) Show that the particle accelerates, and find the magnitude of its acceleration. (5 marks) (b) Find the speed of the particle 3 seconds after the force is first applied. (3 marks)
(Total for Question SECTION-B-MECHANICS1 is 8 marks)
Question SECTION-B-MECHANICS2 (9 marks)
Two particles A and B, of masses 5 kg and 3 kg respectively, are connected by a light inextensible string that passes over a smooth fixed pulley. The particles hang vertically and are released from rest with the string taut. Take g = 9.8 m s^-2. (a) Find the acceleration of the system and the tension in the string. (6 marks) (b) Given that A starts 1.5 m above the ground and B does not reach the pulley, find the speed of A as it hits the ground. (3 marks)
(Total for Question SECTION-B-MECHANICS2 is 9 marks)
Question SECTION-B-MECHANICS3 (9 marks)
A ball is projected from a point O on horizontal ground with speed 21 m s^-1 at an angle of 40 degrees above the horizontal. Model the ball as a particle moving freely under gravity. Take g = 9.8 m s^-2. (a) Find the greatest height reached by the ball above O. (3 marks) (b) Find the horizontal range of the ball (the distance from O to where it lands). (3 marks) (c) Find the speed of the ball 1.5 seconds after projection. (3 marks)
(Total for Question SECTION-B-MECHANICS3 is 9 marks)
Question SECTION-B-MECHANICS4 (9 marks)
A uniform beam AB has length 6 m and mass 30 kg. It rests horizontally in equilibrium on two supports, one at A and one at a point C where AC = 4 m. A small block of mass 12 kg is placed on the beam at a point D where AD = 5 m. Take g = 9.8 m s^-2. (a) By taking moments about A, find the magnitude of the reaction at the support C. (4 marks) (b) Find the magnitude of the reaction at the support A. (2 marks) (c) State one modelling assumption you have made and explain its effect. (3 marks)
(Total for Question SECTION-B-MECHANICS4 is 9 marks)
Question SECTION-B-MECHANICS5 (10 marks)
A box of mass 8 kg is pulled up a rough plane inclined at 20 degrees to the horizontal by a rope. The rope is parallel to the plane and the tension in it is 60 N. The coefficient of friction between the box and the plane is 0.25. Take g = 9.8 m s^-2. (a) Find the normal reaction between the box and the plane. (2 marks) (b) Find the acceleration of the box up the plane. (6 marks) (c) The rope suddenly breaks while the box is moving up the plane. Determine, with reasoning, whether the box will remain at rest once it stops. (2 marks)
(Total for Question SECTION-B-MECHANICS5 is 10 marks)

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Direct answer

Qualification

A-Level Mathematics

Exam board model

AQA

Paper code

7357/2

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 2

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

Modelled component: 7357/2 · Calculator permitted

7357/2 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. Answer ALL questions.

Question SECTION-A-PURE-MATHEMATICS1 (6 marks)

The curve C has equation y = 3x^3 - 5x^2 - 4x + 2. (a) Find dy/dx. (2 marks) (b) Find the exact x-coordinates of the two stationary points of C, giving your answers as surds where appropriate. (4 marks)

(Total for Question SECTION-A-PURE-MATHEMATICS1 is 6 marks)

Question SECTION-A-PURE-MATHEMATICS2 (6 marks)

(a) Express 5 cos(theta) - 12 sin(theta) in the form R cos(theta + alpha), where R > 0 and 0 < alpha < 90 degrees. Give R exactly and alpha to one decimal place. (3 marks) (b) Hence solve the equation 5 cos(theta) - 12 sin(theta) = 4 for 0 <= theta <= 360 degrees, giving your answers to one decimal place. (3 marks)

(Total for Question SECTION-A-PURE-MATHEMATICS2 is 6 marks)

Question SECTION-A-PURE-MATHEMATICS3 (7 marks)

A geometric series has first term a and common ratio r, where |r| < 1. The sum to infinity of the series is 8, and the second term of the series is 2. (a) Show that r satisfies the equation 8r^2 - 8r + 2 = 0, and hence find the value of r. (5 marks) (b) Hence find the value of a. (2 marks)

(Total for Question SECTION-A-PURE-MATHEMATICS3 is 7 marks)

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

(a) Use the substitution u = 1 + x^2 to find the exact value of the integral from 0 to 1 of [x / (1 + x^2)] dx. (4 marks) (b) Find the integral of x e^(2x) with respect to x, using integration by parts. (3 marks)

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

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

The functions f and g are defined by f(x) = 2x - 3 and g(x) = x^2 + 1, for all real x. (a) Find fg(x) and gf(x), simplifying each. (3 marks) (b) Solve the equation fg(x) = gf(x). (4 marks)

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

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

A curve is defined parametrically by x = t^2 - 2t, y = t^3 - 3t, for t a real parameter. (a) Find dy/dx in terms of t. (3 marks) (b) Find the value(s) of t at which the tangent to the curve is parallel to the x-axis. (2 marks) (c) Find the equation of the tangent to the curve at the point where t = 2, giving your answer in the form y = mx + c. (2 marks)

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

Question SECTION-A-PURE-MATHEMATICS7 (7 marks)

(a) Find the binomial expansion of (1 + 4x)^(1/2) in ascending powers of x, up to and including the term in x^3. State the range of values of x for which the expansion is valid. (5 marks) (b) By substituting a suitable value of x into your expansion, find an approximation for sqrt(1.4), giving your answer to 4 decimal places. (2 marks)

(Total for Question SECTION-A-PURE-MATHEMATICS7 is 7 marks)

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

(a) Prove by contradiction that sqrt(3) is irrational. (4 marks) (b) Solve the equation log_2(x) + log_2(x - 2) = 3, giving all valid solution(s). (4 marks)

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

Section B: Mechanics

Mechanics modelling and problem-solving questions. Answer ALL questions.

Question SECTION-B-MECHANICS1 (8 marks)

A particle of mass 4 kg is held at rest on a rough horizontal plane. A constant horizontal force of magnitude 25 N is then applied to the particle. The coefficient of friction between the particle and the plane is 0.35. Take g = 9.8 m s^-2. (a) Show that the particle accelerates, and find the magnitude of its acceleration. (5 marks) (b) Find the speed of the particle 3 seconds after the force is first applied. (3 marks)

(Total for Question SECTION-B-MECHANICS1 is 8 marks)

Question SECTION-B-MECHANICS2 (9 marks)

Two particles A and B, of masses 5 kg and 3 kg respectively, are connected by a light inextensible string that passes over a smooth fixed pulley. The particles hang vertically and are released from rest with the string taut. Take g = 9.8 m s^-2. (a) Find the acceleration of the system and the tension in the string. (6 marks) (b) Given that A starts 1.5 m above the ground and B does not reach the pulley, find the speed of A as it hits the ground. (3 marks)

(Total for Question SECTION-B-MECHANICS2 is 9 marks)

Question SECTION-B-MECHANICS3 (9 marks)

A ball is projected from a point O on horizontal ground with speed 21 m s^-1 at an angle of 40 degrees above the horizontal. Model the ball as a particle moving freely under gravity. Take g = 9.8 m s^-2. (a) Find the greatest height reached by the ball above O. (3 marks) (b) Find the horizontal range of the ball (the distance from O to where it lands). (3 marks) (c) Find the speed of the ball 1.5 seconds after projection. (3 marks)

(Total for Question SECTION-B-MECHANICS3 is 9 marks)

Question SECTION-B-MECHANICS4 (9 marks)

A uniform beam AB has length 6 m and mass 30 kg. It rests horizontally in equilibrium on two supports, one at A and one at a point C where AC = 4 m. A small block of mass 12 kg is placed on the beam at a point D where AD = 5 m. Take g = 9.8 m s^-2. (a) By taking moments about A, find the magnitude of the reaction at the support C. (4 marks) (b) Find the magnitude of the reaction at the support A. (2 marks) (c) State one modelling assumption you have made and explain its effect. (3 marks)

(Total for Question SECTION-B-MECHANICS4 is 9 marks)

Question SECTION-B-MECHANICS5 (10 marks)

A box of mass 8 kg is pulled up a rough plane inclined at 20 degrees to the horizontal by a rope. The rope is parallel to the plane and the tension in it is 60 N. The coefficient of friction between the box and the plane is 0.25. Take g = 9.8 m s^-2. (a) Find the normal reaction between the box and the plane. (2 marks) (b) Find the acceleration of the box up the plane. (6 marks) (c) The rope suddenly breaks while the box is moving up the plane. Determine, with reasoning, whether the box will remain at rest once it stops. (2 marks)

(Total for Question SECTION-B-MECHANICS5 is 10 marks)