OCR AS Level Mathematics B (MEI) H630/02 Pure Mathematics and Statistics - 2025 Exam Paper

OCR AS Level Mathematics B (MEI)
H630/02 Pure Mathematics and
Statistics - 2025 Exam Paper

Exam Overview and Key Information
The OCR AS Level Mathematics B (MEI) H630/02 Pure Mathematics
and Statistics is a summer 2025 examination paper that assesses
core pure mathematics topics including algebra, calculus, and
trigonometry, along with statistics topics including data
representation, probability, and statistical distributions.

Specification Details

Board OCR (Oxford
Cambridge and RSA)

Qualification AS Level
Mathematics B
(MEI)

Paper Code H630/02

Exam Date Friday 23 May 2025
(Afternoon)

Time Allowed 1 hour 30 minutes

Total Marks 70

,Materials Printed Answer
Required Booklet, scientific or
graphical calculator

Instructions for Candidates:

●​ Use black ink (HB pencil for graphs and diagrams only)
●​ Write answers in the Printed Answer Booklet
●​ Answer all questions
●​ Show working where appropriate for method marks
●​ Give final answers to appropriate degree of accuracy




Section A: Pure Mathematics – Sample Questions
The pure mathematics section covers algebra, functions, coordinate
geometry, calculus, and trigonometry. Below are representative
practice questions aligned to the 2025 specification.




Question 1: Algebraic Simplification

Simplify:

\frac{3x^2 - 12}{x - 2}
x−2

3x

2

−12

, ​




for

x \neq 2

x

=2
Answer:

3(x + 2)

3(x+2)
Rationale: Factor the numerator:

3(x^2 - 4) = 3(x - 2)(x + 2)

3(x
2

−4)=3(x−2)(x+2). Cancel the common factor

(x - 2)

(x−2), giving

3(x + 2)

3(x+2).



Question 2: Quadratic Inequality

, Solve:

2x^2 - 5x - 3 < 0

2x
2

−5x−3<0
Answer:

-\frac{1}{2} < x < 3

−
2

1
​




<x<3
Rationale: Solve

2x^2 - 5x - 3 = 0 \rightarrow (2x + 1)(x - 3) = 0

2x
2

−5x−3=0→(2x+1)(x−3)=0. The roots are

x = -\frac{1}{2}

x=−