2025 OCR AS Level Mathematics B (MEI) H630/02 Pure Mathematics and Statistics Combined
Question Paper & Final Marking Scheme
Oxford Cambridge and RSA
Friday 23 May 2025 – Afternoon
AS Level Mathematics B (MEI)
H630/02 Pure Mathematics and Statistics
Time allowed: 1 hour 30 minutes
*1857212776*
You must have:
• the Printed Answer Booklet
• a scientific or graphical calculator
QP
INSTRUCTIONS
• Use black ink. You can use an HB pencil, but only for graphs and diagrams.
• Write your answer to each question in the space provided in the Printed Answer
Booklet. If you need extra space use the lined pages at the end of the Printed Answer
Booklet. The question numbers must be clearly shown.
• Fill in the boxes on the front of the Printed Answer Booklet.
• Answer all the questions.
• Where appropriate, your answer should be supported with working. Marks might be
given for using a correct method, even if your answer is wrong.
• Give your final answers to a degree of accuracy that is appropriate to the context.
• Do not send this Question Paper for marking. Keep it in the centre or recycle it.
INFORMATION
• The total mark for this paper is 70.
• The marks for each question are shown in brackets [ ].
• This document has 12 pages.
ADVICE
• Read each question carefully before you start your answer.
,© OCR 2025 [603/0991/X] OCR is an exempt Charity
DC (DE/FC) 350785/4 Turn over
, 2
Formulae AS Level Mathematics B (MEI) (H630)
Binomial series
(a + b) n = an + nC1 an–1b + nC2 an–2b2 + ... + nCr an–rbr + ... +b n ^n e Nh,
n
JnN n!
Cr = nCr = K O =
where r r!^n - rh!
L P
n n^n - 1h 2 n^n - 1h...^n - r + 1h r
^1 + xh = 1 + nx + x + ... + x + ... ^ x 1 1, n e Rh
2! r!
Differentiation from first principles
f^x + hh - f(x)
f l(x) = lim
h"0 h
Sample variance
2 1 2 2 ^/ xih2 2 2
s =n S where Sxx = /(xi - x)
- = / xi - n = / xi - n-x
- 1 xx
Standard deviation, s = variance
The binomial distribution
If X ~ B^n, ph then P (X = r) = nCr p r q n-r where q = 1 - p
Mean of X is np
Kinematics
Motion in a straight line
v = u + at
s = ut + 1 at2
2
s= 1 (u + v) t
2
v2 = u2 + 2as
s = vt - 1 at2
2
© OCR 2025 H630/02 Jun25
, 3
1 You are given that b, c and d are integers greater than 1.
c
(a) State the value of a k0. [1]
d
(b) State the value of logb b. [1]
2 Triangle LMS is shown in the diagram.
M
5.9 cm
112 °
S
L 16.2 cm
LS = 16.2 cm, LM = 5.9 cm and angle MLS = 112°.
Determine the area of triangle LMS. [2]
3 You are given that 5 sin i = 9 cos i and 0° 1 i 1 360°.
Determine the possible values of i correct to 3 significant figures. [2]
© OCR 2025 H630/02 Jun25 Turn over
Question Paper & Final Marking Scheme
Oxford Cambridge and RSA
Friday 23 May 2025 – Afternoon
AS Level Mathematics B (MEI)
H630/02 Pure Mathematics and Statistics
Time allowed: 1 hour 30 minutes
*1857212776*
You must have:
• the Printed Answer Booklet
• a scientific or graphical calculator
QP
INSTRUCTIONS
• Use black ink. You can use an HB pencil, but only for graphs and diagrams.
• Write your answer to each question in the space provided in the Printed Answer
Booklet. If you need extra space use the lined pages at the end of the Printed Answer
Booklet. The question numbers must be clearly shown.
• Fill in the boxes on the front of the Printed Answer Booklet.
• Answer all the questions.
• Where appropriate, your answer should be supported with working. Marks might be
given for using a correct method, even if your answer is wrong.
• Give your final answers to a degree of accuracy that is appropriate to the context.
• Do not send this Question Paper for marking. Keep it in the centre or recycle it.
INFORMATION
• The total mark for this paper is 70.
• The marks for each question are shown in brackets [ ].
• This document has 12 pages.
ADVICE
• Read each question carefully before you start your answer.
,© OCR 2025 [603/0991/X] OCR is an exempt Charity
DC (DE/FC) 350785/4 Turn over
, 2
Formulae AS Level Mathematics B (MEI) (H630)
Binomial series
(a + b) n = an + nC1 an–1b + nC2 an–2b2 + ... + nCr an–rbr + ... +b n ^n e Nh,
n
JnN n!
Cr = nCr = K O =
where r r!^n - rh!
L P
n n^n - 1h 2 n^n - 1h...^n - r + 1h r
^1 + xh = 1 + nx + x + ... + x + ... ^ x 1 1, n e Rh
2! r!
Differentiation from first principles
f^x + hh - f(x)
f l(x) = lim
h"0 h
Sample variance
2 1 2 2 ^/ xih2 2 2
s =n S where Sxx = /(xi - x)
- = / xi - n = / xi - n-x
- 1 xx
Standard deviation, s = variance
The binomial distribution
If X ~ B^n, ph then P (X = r) = nCr p r q n-r where q = 1 - p
Mean of X is np
Kinematics
Motion in a straight line
v = u + at
s = ut + 1 at2
2
s= 1 (u + v) t
2
v2 = u2 + 2as
s = vt - 1 at2
2
© OCR 2025 H630/02 Jun25
, 3
1 You are given that b, c and d are integers greater than 1.
c
(a) State the value of a k0. [1]
d
(b) State the value of logb b. [1]
2 Triangle LMS is shown in the diagram.
M
5.9 cm
112 °
S
L 16.2 cm
LS = 16.2 cm, LM = 5.9 cm and angle MLS = 112°.
Determine the area of triangle LMS. [2]
3 You are given that 5 sin i = 9 cos i and 0° 1 i 1 360°.
Determine the possible values of i correct to 3 significant figures. [2]
© OCR 2025 H630/02 Jun25 Turn over
