Comprehensive A Level Mathematics Exam Paper with Full Mark Scheme and Explanations

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A Level Mathematics exam paper
paper 2025
STUDENTS NAME

STUDENTS NUMBER

DATE


SECTIONS MARKS
A 60
B 60
TOTAL 120



Time allowed: 2 hours 30 minutes
Total marks: 120


Instructions to Candidates

Answer all questions.

1. • Section A: Pure Mathematics (30 questions)

• Section B: Applied Mathematics (Mechanics & Statistics,
20 questions)



2. Show all working clearly.

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3. Use black or blue ink; diagrams in pencil.



4. Calculators may be used unless stated otherwise.



5. Accuracy of reasoning, clarity of explanation, and correct
use of notation will be assessed.



6. Partial answers may gain partial credit.



7. Maintain exam conditions: no communication with other
candidates; electronic devices must be switched off.

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Section A: Pure Mathematics (30 questions, 60
marks)
Part 1: Multiple Choice (10 questions, 10 marks)

1. Solve 2x+5=15.
1. 5
2. 10
3. –5
4. 2.5




2. The derivative of f(x)=x^3 is:

1. 3x^2
2. x^2
3. 3x
4. x^3




3. Which of the following is the binomial expansion of (1+x)^2?

1. 1+2x+x^2
2. 1+x^2
3. 1+x+x^2
4. 1+2x