# 2025 H2 A Level Mathematics Specimen Paper (9758) : Paper 1 Worked Solutions

Here’s the worked solutions for the 2025 H2 A Level Mathematics Paper 1 for examinations from 2025. You can download the paper here.

Click on the question number to go to the question directly.

Question 1

Question 2

Question 3

Question 4

Question 5

Question 6

Question 7

Question 8

Question 9

Question 10

Question 11

## Question 1

This question is an application of differentiation question, where students are tested on rate of change and chain rule.

## Question 2

Question 2 is on transformation of graphs.

## Question 3

Question 3 is on curve sketching, and inequalities.

## Question 4

Question 4 is on geometric progression.

## Question 5

Question 5a of the 2025 Specimen paper tests students on application of differentiation – finding minimum and maximum point, while 5b is an application of integration question.

## Question 6

Question 6 of the 2025 H2 Math Specimen Paper 1 is on vectors.

## Question 7

This is a complex number question.

(b)

(i) The origin O, A, B, and C forms a parallelogram, where OA is parallel to BC, and AC is parallel to OB.AC is parallel to OB.

(ii) To obtain A’, B’ and C’ from A, B and C, rotate A, B and C 90 degrees, anticlockwise about the origin respectively.

(iii)

## Question 8

Question 8 of Paper 1 of the 2025 Specimen Paper of H2 Math (syllabus 9758) is on parametric equations, with application to differentiation (finding equation of tangent), and integration (finding volume generated).

## Question 9

Question 9 of Paper 1 of the 2025 Specimen Paper of H2 Math (syllabus 9758) is on trigonometry, and binomial expansion.

(a)

## Question 10

Question 10 of Paper 1 of the 2025 Specimen Paper of H2 Math (syllabus 9758) is on vectors.

## Question 11

Question 11 of Paper 1 of the 2025 Specimen Paper of H2 Math (syllabus 9758) is on differential equations.

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