What came up: June 2025

June 2025 is the latest series the board has released publicly (Pearson keeps papers secure for schools for about a year, so June 2026 is expected in autumn 2027).

The most recent series, question by question, with the examiner-report difficulty where one was given. The analysis page shows how this compares with earlier years.

AS AS Paper 1: Pure Mathematics (100 marks)

QTopicMarksDifficulty
1(i)Graphs and transformations3—
1(ii)Graphs and transformations3—
2(a)Straight lines3—
2(b)Inequalities, Straight lines2—
3(a)Vectors3—
3(b)Trigonometric ratios, graphs, radians and the sine and cosine rules, Vectors3—
4(a)Circles, Quadratics and the discriminant3—
4(b)Circles, Inequalities, Quadratics and the discriminant3—
5(a)Indices and surds3—
5(b)Integration: standard integrals, definite integrals and areas, Indices and surds3—
6(a)Algebraic methods: polynomials, factor theorem and division2—
6(b)Differentiation: first principles, gradients, stationary points, Simultaneous equations5—
7(a)Quadratics and the discriminant, Functions, composite and inverse functions, modulus2—
7(b)Quadratics and the discriminant, Inequalities, Functions, composite and inverse functions, modulus3—
7(c)Quadratics and the discriminant, Functions, composite and inverse functions, modulus3—
7(d)Quadratics and the discriminant, Functions, composite and inverse functions, modulus2—
8Trigonometric identities and proofs, Solving trigonometric equations, Quadratics and the discriminant5—
9Quadratics and the discriminant3—
10Exponentials and logarithms, Quadratics and the discriminant5—
11(a)Differentiation: first principles, gradients, stationary points, Indices and surds, Algebraic methods: polynomials, factor theorem and division4—
11(b)Differentiation: first principles, gradients, stationary points, Indices and surds4—
11(c)Differentiation: first principles, gradients, stationary points2—
11(d)Differentiation: first principles, gradients, stationary points2—
11(e)Differentiation: first principles, gradients, stationary points1—
12(a)Differentiation: first principles, gradients, stationary points3—
12(b)Differentiation: first principles, gradients, stationary points, Quadratics and the discriminant, Graphs and transformations2—
13(a)Exponential growth, decay and modelling, Exponentials and logarithms, Indices and surds4—
13(b)Exponential growth, decay and modelling, Exponentials and logarithms1—
13(c)Exponential growth, decay and modelling2—
13(d)(i)Exponentials and logarithms, Differentiation: first principles, gradients, stationary points2—
13(d)(ii)Exponential growth, decay and modelling, Exponentials and logarithms3—
14(a)Binomial expansion2—
14(b)Binomial expansion, Quadratics and the discriminant, Simultaneous equations, Algebraic methods: polynomials, factor theorem and division5—
15(a)Proof, including contradiction, Algebraic methods: polynomials, factor theorem and division2—
15(b)Proof, including contradiction, Algebraic methods: polynomials, factor theorem and division2—

AS AS Paper 2 Section A: Statistics (30 marks)

QTopicMarksDifficulty
1(a)Discrete distributions and the binomial distribution1—
1(b)Discrete distributions and the binomial distribution1—
1(c)Discrete distributions and the binomial distribution1—
2(a)Sampling1—
2(b)(i)Data presentation: histograms, box plots, measures and outliers2—
2(b)(ii)Data presentation: histograms, box plots, measures and outliers1—
2(c)Data presentation: histograms, box plots, measures and outliers, The large data set2—
3(a)Discrete distributions and the binomial distribution3—
3(b)(i)Hypothesis testing, Discrete distributions and the binomial distribution4—
3(b)(ii)Hypothesis testing, Discrete distributions and the binomial distribution2—
4(a)Data presentation: histograms, box plots, measures and outliers1—
4(b)(i)Correlation and regression, Straight lines2—
4(b)(ii)Correlation and regression, Simultaneous equations, Straight lines2—
5(a)Probability, including conditional probability1—
5(b)Probability, including conditional probability2—
5(c)Probability, including conditional probability, Simultaneous equations4—

AS AS Paper 2 Section B: Mechanics (30 marks)

QTopicMarksDifficulty
1(a)Kinematics: language and graphs, Constant acceleration (SUVAT)3—
1(b)Kinematics: language and graphs1—
2(a)Forces, Newton's laws and connected particles, Vectors1—
2(b)Forces, Newton's laws and connected particles, Vectors3—
2(c)Forces, Newton's laws and connected particles, Vectors1—
3(a)Forces, Newton's laws and connected particles2—
3(b)Forces, Newton's laws and connected particles3—
3(c)Constant acceleration (SUVAT), Forces, Newton's laws and connected particles2—
3(d)Constant acceleration (SUVAT), Forces, Newton's laws and connected particles2—
3(e)Forces, Newton's laws and connected particles1—
3(f)Forces, Newton's laws and connected particles1—
4(a)Variable acceleration, Quadratics and the discriminant, Differentiation: first principles, gradients, stationary points4—
4(b)Variable acceleration, Kinematics: language and graphs, Algebraic methods: polynomials, factor theorem and division3—
4(c)Variable acceleration, Kinematics: language and graphs, Quadratics and the discriminant, Differentiation: first principles, gradients, stationary points3—

Paper 1: Pure Mathematics 1 (100 marks)

QTopicMarksDifficulty
1(a)Graphs and transformations1—
1(b)Functions, composite and inverse functions, modulus, Graphs and transformations1—
1(c)Graphs and transformations2—
2(a)Circles, Indices and surds3—
2(b)Circles, Quadratics and the discriminant2—
3(a)Sequences and series, Simultaneous equations2—
3(b)Sequences and series3—
4(a)Algebraic methods: polynomials, factor theorem and division3—
4(b)Quadratics and the discriminant, Algebraic methods: polynomials, factor theorem and division, Proof, including contradiction2—
5(a)Integration: standard integrals, definite integrals and areas1—
5(b)Integration: standard integrals, definite integrals and areas, Indices and surds2—
6(a)Functions, composite and inverse functions, modulus, Indices and surds, Simultaneous equations4—
6(b)Functions, composite and inverse functions, modulus1—
6(c)Functions, composite and inverse functions, modulus, Indices and surds2—
7(a)Differentiation: first principles, gradients, stationary points, Inequalities2—
7(b)Graphs and transformations, Algebraic methods: polynomials, factor theorem and division3—
7(c)Graphs and transformations, Differentiation: first principles, gradients, stationary points2—
8(a)Proof, including contradiction1—
8(b)Proof, including contradiction, Algebraic methods: polynomials, factor theorem and division4—
9(a)Exponentials and logarithms, Functions, composite and inverse functions, modulus, Algebraic methods: polynomials, factor theorem and division2—
9(b)Chain, product and quotient rules; connected rates of change, Differentiation: first principles, gradients, stationary points, Functions, composite and inverse functions, modulus, Exponentials and logarithms4—
9(c)Numerical methods: roots, iteration and Newton–Raphson, Functions, composite and inverse functions, modulus3—
10(a)Vectors2—
10(b)Vectors4—
11(a)Exponential growth, decay and modelling, Exponentials and logarithms4—
11(b)Differentiation: first principles, gradients, stationary points, Exponentials and logarithms, Exponential growth, decay and modelling3—
11(c)Exponential growth, decay and modelling1—
12(a)Graphs and transformations, Algebraic methods: polynomials, factor theorem and division2—
12(b)Algebraic methods: polynomials, factor theorem and division, Graphs and transformations2—
12(c)Algebraic methods: polynomials, factor theorem and division, Quadratics and the discriminant4—
13Integration by parts and by substitution, Integration: standard integrals, definite integrals and areas, Partial fractions5—
14(a)Addition and double-angle formulae, harmonic form, Trigonometric ratios, graphs, radians and the sine and cosine rules, Trigonometric identities and proofs3—
14(b)Addition and double-angle formulae, harmonic form, Solving trigonometric equations4—
15(a)Trigonometric ratios, graphs, radians and the sine and cosine rules, Indices and surds4—
15(b)Differentiation: first principles, gradients, stationary points, Indices and surds3—
15(c)Differentiation: first principles, gradients, stationary points2—
16(a)Integration by parts and by substitution, Integration: standard integrals, definite integrals and areas, Reciprocal and inverse trigonometric functions, Trigonometric identities and proofs4—
16(b)Integration: standard integrals, definite integrals and areas, Trigonometric ratios, graphs, radians and the sine and cosine rules, Reciprocal and inverse trigonometric functions3—

Paper 2: Pure Mathematics 2 (100 marks)

QTopicMarksDifficulty
1Algebraic methods: polynomials, factor theorem and division3—
2Integration: standard integrals, definite integrals and areas, Indices and surds4—
3Exponentials and logarithms2—
4(a)Trigonometric ratios, graphs, radians and the sine and cosine rules2—
4(b)Trigonometric ratios, graphs, radians and the sine and cosine rules3—
5(a)Parametric equations2—
5(b)Parametric equations2—
5(c)Chain, product and quotient rules; connected rates of change, Implicit and parametric differentiation3—
6(a)Small-angle approximations, Algebraic methods: polynomials, factor theorem and division2—
6(b)Small-angle approximations, Indices and surds, Algebraic methods: polynomials, factor theorem and division2—
6(c)Small-angle approximations2—
7Partial fractions, Algebraic methods: polynomials, factor theorem and division4—
8(a)Differentiation: first principles, gradients, stationary points4—
8(b)Differentiation: first principles, gradients, stationary points1—
8(c)Algebraic methods: polynomials, factor theorem and division, Inequalities, Graphs and transformations, Differentiation: first principles, gradients, stationary points4—
9(a)Exponential growth, decay and modelling2—
9(b)Exponential growth, decay and modelling, Exponentials and logarithms3—
9(c)Exponentials and logarithms, Exponential growth, decay and modelling2—
9(d)Exponential growth, decay and modelling1—
10(a)Differential equations2—
10(b)Differential equations, Exponentials and logarithms, Integration by parts and by substitution5—
10(c)Differential equations2—
11(a)Straight lines3—
11(b)Functions, composite and inverse functions, modulus, Algebraic methods: polynomials, factor theorem and division3—
11(c)Inequalities, Quadratics and the discriminant, Functions, composite and inverse functions, modulus2—
11(d)Quadratics and the discriminant, Functions, composite and inverse functions, modulus, Differentiation: first principles, gradients, stationary points1—
11(e)Functions, composite and inverse functions, modulus2—
12(a)Graphs and transformations2—
12(b)Functions, composite and inverse functions, modulus, Graphs and transformations2—
12(c)Graphs and transformations, Straight lines4—
13(i)Trigonometric ratios, graphs, radians and the sine and cosine rules1—
13(ii)Trigonometric ratios, graphs, radians and the sine and cosine rules, Solving trigonometric equations2—
14(a)Vectors3—
14(b)Vectors, Simultaneous equations5—
15(a)Chain, product and quotient rules; connected rates of change, Differentiation: first principles, gradients, stationary points, Quadratics and the discriminant5—
15(b)Integration by parts and by substitution, Trigonometric identities and proofs, Addition and double-angle formulae, harmonic form5—
15(c)Integration: standard integrals, definite integrals and areas, Trigonometric ratios, graphs, radians and the sine and cosine rules3—

Paper 3 Section A: Statistics (50 marks)

QTopicMarksDifficulty
1(a)(i)Probability, including conditional probability2—
1(a)(ii)Probability, including conditional probability2—
1(b)Probability, including conditional probability3—
1(c)Probability, including conditional probability2—
2(a)Data presentation: histograms, box plots, measures and outliers1—
2(b)Data presentation: histograms, box plots, measures and outliers2—
2(c)Data presentation: histograms, box plots, measures and outliers2—
3(a)Discrete distributions and the binomial distribution3—
3(b)Hypothesis testing, Discrete distributions and the binomial distribution3—
4(a)Sampling1—
4(b)Data presentation: histograms, box plots, measures and outliers, The large data set1—
4(c)Correlation and regression, The large data set2—
4(d)Correlation and regression1—
4(e)Hypothesis testing, Correlation and regression2—
4(f)Sampling, The large data set2—
5(a)Normal distribution2—
5(b)Normal distribution, Simultaneous equations5—
5(c)Normal distribution, Probability, including conditional probability3—
6(a)Discrete distributions and the binomial distribution, Sequences and series4—
6(b)Discrete distributions and the binomial distribution2—
6(c)Discrete distributions and the binomial distribution, Quadratics and the discriminant, Inequalities5—

Paper 3 Section B: Mechanics (50 marks)

QTopicMarksDifficulty
1(a)Constant acceleration (SUVAT)2—
1(b)Forces, Newton's laws and connected particles2—
2(a)Forces, Newton's laws and connected particles, Trigonometric ratios, graphs, radians and the sine and cosine rules3—
2(b)Forces, Newton's laws and connected particles, Friction, resultant forces and motion in a plane1—
2(c)Forces, Newton's laws and connected particles1—
2(d)Friction, resultant forces and motion in a plane, Constant acceleration (SUVAT), Forces, Newton's laws and connected particles4—
2(e)Friction, resultant forces and motion in a plane1—
3(a)Forces, Newton's laws and connected particles, Vectors1—
3(b)Constant acceleration (SUVAT), Vectors2—
3(c)Kinematics: language and graphs, Constant acceleration (SUVAT), Vectors, Trigonometric ratios, graphs, radians and the sine and cosine rules3—
3(d)Constant acceleration (SUVAT), Vectors2—
4(a)Kinematics: language and graphs, Indices and surds1—
4(b)Kinematics: language and graphs, Vectors, Indices and surds2—
4(c)Variable acceleration, Differentiation: first principles, gradients, stationary points2—
4(d)Variable acceleration, Straight lines, Differentiation: first principles, gradients, stationary points4—
5(a)Projectiles, Forces, Newton's laws and connected particles, Trigonometric ratios, graphs, radians and the sine and cosine rules5—
5(b)Projectiles, Constant acceleration (SUVAT)3—
6(a)Forces, Newton's laws and connected particles, Moments1—
6(b)Moments, Forces, Newton's laws and connected particles, Trigonometric ratios, graphs, radians and the sine and cosine rules3—
6(c)Friction, resultant forces and motion in a plane, Forces, Newton's laws and connected particles, Moments1—
6(d)Moments, Friction, resultant forces and motion in a plane, Forces, Newton's laws and connected particles, Trigonometric ratios, graphs, radians and the sine and cosine rules6—

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