Is Edexcel 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 14 questions and is designed for a 120-minute practice session.

What is the A-Level Mathematics Paper 2 format (9MA0/02)?

A-Level Mathematics Paper 2 (9MA0/02) is 100 marks over 120 minutes. 9MA0/02 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 9MA0/02,100 marks over 120 minutes. Predicted focus topics: parametric-equations-and-calculus, binomial-expansion-and-approximation, trigonometric-identities-and-equations, differential-equations-and-modelling, sequences-and-series. 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: 9MA0/02
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 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 parametric-equations-and-calculus, binomial-expansion-and-approximation, trigonometric-identities-and-equations, differential-equations-and-modelling, sequences-and-series, numerical-methods-iteration-and-newton-raphson. This is an independent, Edexcel-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 Edexcel-style structure and recent paper patterns, StudyVector's prediction prioritises: parametric-equations-and-calculus; binomial-expansion-and-approximation; trigonometric-identities-and-equations; differential-equations-and-modelling; sequences-and-series; numerical-methods-iteration-and-newton-raphson. Students should still revise the full specification because exam boards rotate topics.

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

Modelled component: 9MA0/02 · Calculator permitted

9MA0/02 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.

Predicted difficulty score (practice signal)

0–100 model (higher = more demanding)

Candidate focus topics (not guarantees)

parametric-equations-and-calculus
binomial-expansion-and-approximation
trigonometric-identities-and-equations
differential-equations-and-modelling
sequences-and-series
numerical-methods-iteration-and-newton-raphson

Preview mode

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

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Section A: Pure Mathematics

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

Question SECTION-A-PURE-MATHEMATICS1 (4 marks)
The curve C has equation y = 3x^2 - 12x + 5. (a) Express y in the form a(x + b)^2 + c, where a, b and c are constants to be found. (3 marks) (b) Hence write down the coordinates of the minimum point of C. (1 mark)
(Total for Question SECTION-A-PURE-MATHEMATICS1 is 4 marks)
Question SECTION-A-PURE-MATHEMATICS2 (5 marks)
The first three terms of a geometric series are (k + 4), k and (2k - 9), where k is a positive constant. (a) Show that k satisfies the equation k^2 = (k + 4)(2k - 9). (1 mark) (b) Hence find the exact value of k. (3 marks) (c) Find the common ratio of the series, to 3 significant figures. (1 mark)
(Total for Question SECTION-A-PURE-MATHEMATICS2 is 5 marks)
Question SECTION-A-PURE-MATHEMATICS3 (6 marks)
(a) Given that log_2(x) + log_2(x - 6) = 4, show that x^2 - 6x - 16 = 0. (3 marks) (b) Hence solve the equation log_2(x) + log_2(x - 6) = 4, explaining why one solution must be rejected. (3 marks)
(Total for Question SECTION-A-PURE-MATHEMATICS3 is 6 marks)
Question SECTION-A-PURE-MATHEMATICS4 (7 marks)
The functions f and g are defined by f(x) = 3x - 1, x is real, g(x) = 2/(x + 5), x is real, x not equal to -5. (a) Find fg(x), giving your answer as a single simplified fraction. (2 marks) (b) Find the inverse function f^{-1}(x) and state its domain. (2 marks) (c) Solve the equation g(x) = x + 4. (3 marks)
(Total for Question SECTION-A-PURE-MATHEMATICS4 is 7 marks)
Question SECTION-A-PURE-MATHEMATICS5 (7 marks)
A curve has equation y = x^3 - 6x^2 + 9x + 2. (a) Find dy/dx. (2 marks) (b) Find the coordinates of the two stationary points of the curve. (3 marks) (c) Determine the nature of each stationary point, justifying your answer. (2 marks)
(Total for Question SECTION-A-PURE-MATHEMATICS5 is 7 marks)
Question SECTION-A-PURE-MATHEMATICS6 (8 marks)
(a) Find the first four terms, in ascending powers of x, of the binomial expansion of (1 + 4x)^{1/2}, giving each coefficient in its simplest form. (4 marks) (b) State the range of values of x for which the expansion is valid. (1 mark) (c) By substituting a suitable value of x, use the first three terms of your expansion to find an approximation for sqrt(1.4), giving your answer to 4 decimal places. (3 marks)
(Total for Question SECTION-A-PURE-MATHEMATICS6 is 8 marks)
Question SECTION-A-PURE-MATHEMATICS7 (8 marks)
Relative to a fixed origin O, the points A, B and C have position vectors OA = 2i + 3j - k, OB = 5i - j + 2k, OC = -i + 7j - 4k. (a) Find the vector AB. (2 marks) (b) Show that A, B and C are collinear. (3 marks) (c) Find the ratio AB : BC. (3 marks)
(Total for Question SECTION-A-PURE-MATHEMATICS7 is 8 marks)
Question SECTION-A-PURE-MATHEMATICS8 (7 marks)
(a) Show that the equation 3 sin^2(x) - 5 cos(x) - 1 = 0 can be written as 3 cos^2(x) + 5 cos(x) - 2 = 0. (2 marks) (b) Hence solve, for 0 <= x < 360 degrees, the equation 3 sin^2(x) - 5 cos(x) - 1 = 0, giving your answers to 1 decimal place where appropriate. (5 marks)
(Total for Question SECTION-A-PURE-MATHEMATICS8 is 7 marks)
Question SECTION-A-PURE-MATHEMATICS9 (9 marks)
The population P (in thousands) of a colony of bacteria at time t hours is modelled by the differential equation dP/dt = kP(20 - P), where k is a positive constant. Initially P = 5, and when t = 0 the population is increasing at a rate of 3 thousand per hour. (a) Find the value of k. (2 marks) (b) Using partial fractions, show that the general solution of the differential equation can be written as P/(20 - P) = A e^{20kt}, where A is a constant. (5 marks) (c) Find the value of A using the initial condition, and hence state the limiting value of P as t tends to infinity. (2 marks)
(Total for Question SECTION-A-PURE-MATHEMATICS9 is 9 marks)
Question SECTION-A-PURE-MATHEMATICS10 (7 marks)
A curve is defined by the parametric equations x = t^2 - 2t, y = t^3 - 3t, where t is real. (a) Find dy/dx in terms of t. (3 marks) (b) Find the coordinates of the point on the curve, other than where t = 1, at which the tangent is parallel to the x-axis. (4 marks)
(Total for Question SECTION-A-PURE-MATHEMATICS10 is 7 marks)
Question SECTION-A-PURE-MATHEMATICS11 (8 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 the exact value of R and give alpha to 1 decimal place. (4 marks) (b) Hence solve, for 0 <= theta < 360 degrees, the equation 5 cos(theta) + 12 sin(theta) = 6.5, giving your answers to 1 decimal place. (4 marks)
(Total for Question SECTION-A-PURE-MATHEMATICS11 is 8 marks)
Question SECTION-A-PURE-MATHEMATICS12 (6 marks)
The equation x^3 + 2x - 7 = 0 has a single real root, alpha. (a) Show that alpha lies between x = 1 and x = 2. (2 marks) (b) Using the iteration formula x_{n+1} = (7 - 2 x_n)^{1/3} with x_0 = 1.5, find x_1, x_2 and x_3, giving each to 4 decimal places. (3 marks) (c) By choosing a suitable interval, show that alpha = 1.5689 correct to 4 decimal places. (1 mark)
(Total for Question SECTION-A-PURE-MATHEMATICS12 is 6 marks)
Question SECTION-A-PURE-MATHEMATICS13 (11 marks)
(a) Use integration by parts to find the integral of x^2 ln(x) dx. (5 marks) (b) Hence evaluate the definite integral from 1 to 2 of x^2 ln(x) dx, giving your answer in the form (a ln 2 + b)/9, where a and b are integers to be found. (4 marks) (c) Explain briefly why the value of the definite integral in part (b) must be positive without evaluating it numerically. (2 marks)
(Total for Question SECTION-A-PURE-MATHEMATICS13 is 11 marks)
Question SECTION-A-PURE-MATHEMATICS14 (7 marks)
The line l has equation y = 2x - 3. The circle C has equation x^2 + y^2 - 6x - 4y + 8 = 0. (a) Find the centre and radius of C. (3 marks) (b) Show that the line l and the circle C intersect at two distinct points, and find the coordinates of these points. (4 marks)
(Total for Question SECTION-A-PURE-MATHEMATICS14 is 7 marks)

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Direct answer

Qualification

A-Level Mathematics

Exam board model

Pearson Edexcel

Paper code

9MA0/02

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.

Edexcel A-Level Maths 2027 Predicted Practice Paper — Paper 2

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

Modelled component: 9MA0/02 · Calculator permitted

9MA0/02 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 curve C has equation y = 3x^2 - 12x + 5. (a) Express y in the form a(x + b)^2 + c, where a, b and c are constants to be found. (3 marks) (b) Hence write down the coordinates of the minimum point of C. (1 mark)

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

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

The first three terms of a geometric series are (k + 4), k and (2k - 9), where k is a positive constant. (a) Show that k satisfies the equation k^2 = (k + 4)(2k - 9). (1 mark) (b) Hence find the exact value of k. (3 marks) (c) Find the common ratio of the series, to 3 significant figures. (1 mark)

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

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

(a) Given that log_2(x) + log_2(x - 6) = 4, show that x^2 - 6x - 16 = 0. (3 marks) (b) Hence solve the equation log_2(x) + log_2(x - 6) = 4, explaining why one solution must be rejected. (3 marks)

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

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

The functions f and g are defined by f(x) = 3x - 1, x is real, g(x) = 2/(x + 5), x is real, x not equal to -5. (a) Find fg(x), giving your answer as a single simplified fraction. (2 marks) (b) Find the inverse function f^{-1}(x) and state its domain. (2 marks) (c) Solve the equation g(x) = x + 4. (3 marks)

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

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

A curve has equation y = x^3 - 6x^2 + 9x + 2. (a) Find dy/dx. (2 marks) (b) Find the coordinates of the two stationary points of the curve. (3 marks) (c) Determine the nature of each stationary point, justifying your answer. (2 marks)

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

Question SECTION-A-PURE-MATHEMATICS6 (8 marks)

(a) Find the first four terms, in ascending powers of x, of the binomial expansion of (1 + 4x)^{1/2}, giving each coefficient in its simplest form. (4 marks) (b) State the range of values of x for which the expansion is valid. (1 mark) (c) By substituting a suitable value of x, use the first three terms of your expansion to find an approximation for sqrt(1.4), giving your answer to 4 decimal places. (3 marks)

(Total for Question SECTION-A-PURE-MATHEMATICS6 is 8 marks)

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

Relative to a fixed origin O, the points A, B and C have position vectors OA = 2i + 3j - k, OB = 5i - j + 2k, OC = -i + 7j - 4k. (a) Find the vector AB. (2 marks) (b) Show that A, B and C are collinear. (3 marks) (c) Find the ratio AB : BC. (3 marks)

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

Question SECTION-A-PURE-MATHEMATICS8 (7 marks)

(a) Show that the equation 3 sin^2(x) - 5 cos(x) - 1 = 0 can be written as 3 cos^2(x) + 5 cos(x) - 2 = 0. (2 marks) (b) Hence solve, for 0 <= x < 360 degrees, the equation 3 sin^2(x) - 5 cos(x) - 1 = 0, giving your answers to 1 decimal place where appropriate. (5 marks)

(Total for Question SECTION-A-PURE-MATHEMATICS8 is 7 marks)

Question SECTION-A-PURE-MATHEMATICS9 (9 marks)

The population P (in thousands) of a colony of bacteria at time t hours is modelled by the differential equation dP/dt = kP(20 - P), where k is a positive constant. Initially P = 5, and when t = 0 the population is increasing at a rate of 3 thousand per hour. (a) Find the value of k. (2 marks) (b) Using partial fractions, show that the general solution of the differential equation can be written as P/(20 - P) = A e^{20kt}, where A is a constant. (5 marks) (c) Find the value of A using the initial condition, and hence state the limiting value of P as t tends to infinity. (2 marks)

(Total for Question SECTION-A-PURE-MATHEMATICS9 is 9 marks)

Question SECTION-A-PURE-MATHEMATICS10 (7 marks)

A curve is defined by the parametric equations x = t^2 - 2t, y = t^3 - 3t, where t is real. (a) Find dy/dx in terms of t. (3 marks) (b) Find the coordinates of the point on the curve, other than where t = 1, at which the tangent is parallel to the x-axis. (4 marks)

(Total for Question SECTION-A-PURE-MATHEMATICS10 is 7 marks)

Question SECTION-A-PURE-MATHEMATICS11 (8 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 the exact value of R and give alpha to 1 decimal place. (4 marks) (b) Hence solve, for 0 <= theta < 360 degrees, the equation 5 cos(theta) + 12 sin(theta) = 6.5, giving your answers to 1 decimal place. (4 marks)

(Total for Question SECTION-A-PURE-MATHEMATICS11 is 8 marks)

Question SECTION-A-PURE-MATHEMATICS12 (6 marks)

The equation x^3 + 2x - 7 = 0 has a single real root, alpha. (a) Show that alpha lies between x = 1 and x = 2. (2 marks) (b) Using the iteration formula x_{n+1} = (7 - 2 x_n)^{1/3} with x_0 = 1.5, find x_1, x_2 and x_3, giving each to 4 decimal places. (3 marks) (c) By choosing a suitable interval, show that alpha = 1.5689 correct to 4 decimal places. (1 mark)

(Total for Question SECTION-A-PURE-MATHEMATICS12 is 6 marks)

Question SECTION-A-PURE-MATHEMATICS13 (11 marks)

(a) Use integration by parts to find the integral of x^2 ln(x) dx. (5 marks) (b) Hence evaluate the definite integral from 1 to 2 of x^2 ln(x) dx, giving your answer in the form (a ln 2 + b)/9, where a and b are integers to be found. (4 marks) (c) Explain briefly why the value of the definite integral in part (b) must be positive without evaluating it numerically. (2 marks)

(Total for Question SECTION-A-PURE-MATHEMATICS13 is 11 marks)

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

The line l has equation y = 2x - 3. The circle C has equation x^2 + y^2 - 6x - 4y + 8 = 0. (a) Find the centre and radius of C. (3 marks) (b) Show that the line l and the circle C intersect at two distinct points, and find the coordinates of these points. (4 marks)

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