2025
2025
OCR
2025
OCR
AS
OCR
AS
Level
AS
Level
Mathematics
Level
Mathematics
Mathematics
B (MEI)
B (MEI)
B H630-02
(MEI)
H630-02
H630-02
Pure
Pure
Mathematics
Pure
Mathematics
Mathematics
andand
Statistics
and
Statistics
Statistics
Verified
Verified
Verified
Question
Question
Question
paper
paper
with
paper
with
Marking
with
Marking
Marking
Scheme
Scheme
Scheme
Attached.pdf
Attached.pdf
Attached.pdf
2025 OCR AS Level Mathematics B (MEI)
H630/02 Pure Mathematics and Statistics
Verified Question paper with Marking Scheme Attached
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
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
2025
2025
OCR
2025
OCR
AS
OCR
AS
Level
AS
Level
Mathematics
Level
Mathematics
Mathematics
B (MEI)
B (MEI)
B H630-02
(MEI)
H630-02
H630-02
Pure
Pure
Mathematics
Pure
Mathematics
Mathematics
andand
Statistics
and
Statistics
Statistics
Verified
Verified
Verified
Question
Question
Question
paper
paper
with
paper
with
Marking
with
Marking
Marking
Scheme
Scheme
Scheme
Attached.pdf
Attached.pdf
Attached.pdf
,2025
2025
OCR
2025
OCR
AS
OCR
AS
Level
AS
Level
Mathematics
Level
Mathematics
Mathematics
B (MEI)
B (MEI)
B H630-02
(MEI)
H630-02
H630-02
Pure
Pure
Mathematics
Pure
Mathematics
Mathematics
andand
Statistics
and
Statistics
Statistics
Verified
Verified
Verified
Question
Question
Question
paper
paper
with
paper
with
Marking
with
Marking
Marking
Scheme
Scheme
Scheme
Attached.pdf
Attached.pdf
Attached.pdf
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,
JnN= n!
n Cr = nCr = K O
wher r r!^n - rh!
e
LP
n ^ n - 1h 2 n^n - 1h...^n - r + 1h r
^1 + xhn = 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 + 12at2
s= 1 (u + v) t
2
v2 = u2 + 2as
s = vt - 12at2
© OCR 2025 H630/02 Jun25
2025
2025
OCR
2025
OCR
AS
OCR
AS
Level
AS
Level
Mathematics
Level
Mathematics
Mathematics
B (MEI)
B (MEI)
B H630-02
(MEI)
H630-02
H630-02
Pure
Pure
Mathematics
Pure
Mathematics
Mathematics
andand
Statistics
and
Statistics
Statistics
Verified
Verified
Verified
Question
Question
Question
paper
paper
with
paper
with
Marking
with
Marking
Marking
Scheme
Scheme
Scheme
Attached.pdf
Attached.pdf
Attached.pdf
,2025
2025
OCR
2025
OCR
AS
OCR
AS
Level
AS
Level
Mathematics
Level
Mathematics
Mathematics
B (MEI)
B (MEI)
B H630-02
(MEI)
H630-02
H630-02
Pure
Pure
Mathematics
Pure
Mathematics
Mathematics
andand
Statistics
and
Statistics
Statistics
Verified
Verified
Verified
Question
Question
Question
paper
paper
with
paper
with
Marking
with
Marking
Marking
Scheme
Scheme
Scheme
Attached.pdf
Attached.pdf
Attached.pdf
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
2025
2025
OCR
2025
OCR
AS
OCR
AS
Level
AS
Level
Mathematics
Level
Mathematics
Mathematics
B (MEI)
B (MEI)
B H630-02
(MEI)
H630-02
H630-02
Pure
Pure
Mathematics
Pure
Mathematics
Mathematics
andand
Statistics
and
Statistics
Statistics
Verified
Verified
Verified
Question
Question
Question
paper
paper
with
paper
with
Marking
with
Marking
Marking
Scheme
Scheme
Scheme
Attached.pdf
Attached.pdf
Attached.pdf
, 2025
2025
OCR
2025
OCR
AS
OCR
AS
Level
AS
Level
Mathematics
Level
Mathematics
Mathematics
B (MEI)
B (MEI)
B H630-02
(MEI)
H630-02
H630-02
Pure
Pure
Mathematics
Pure
Mathematics
Mathematics
andand
Statistics
and
Statistics
Statistics
Verified
Verified
Verified
Question
Question
Question
paper
paper
with
paper
with
Marking
with
Marking
Marking
Scheme
Scheme
Scheme
Attached.pdf
Attached.pdf
Attached.pdf
4
4 The pre-release material contains data for percentage employment rates in different areas
of England.
The diagram shows percentage employment rates between 2008 and 2022 for the North West of
England and the South East of England.
85.0
80.0
Employment
rate
(aged 75.0
16-64)
70.0
65.0
2005 2010 2015 2020 2025
Year
Key
Series 1
Series 2
(a) Use your knowledge of the pre-release material to explain whether Series 1 (the lower
time series) or Series 2 (the upper time series) represents the data for the South East of
England.
[1]
A student uses the LINEST function to model the data for Series 2.
(b) Assuming that a straight line model is reasonable, use your knowledge of the pre-release
material to explain whether it would be appropriate to use this model to calculate an
estimate of the percentage employment rate in Cornwall, in the South West of England, in
2011. [1]
© OCR 2025 H630/02 Jun25
2025
2025
OCR
2025
OCR
AS
OCR
AS
Level
AS
Level
Mathematics
Level
Mathematics
Mathematics
B (MEI)
B (MEI)
B H630-02
(MEI)
H630-02
H630-02
Pure
Pure
Mathematics
Pure
Mathematics
Mathematics
andand
Statistics
and
Statistics
Statistics
Verified
Verified
Verified
Question
Question
Question
paper
paper
with
paper
with
Marking
with
Marking
Marking
Scheme
Scheme
Scheme
Attached.pdf
Attached.pdf
Attached.pdf
2025
OCR
2025
OCR
AS
OCR
AS
Level
AS
Level
Mathematics
Level
Mathematics
Mathematics
B (MEI)
B (MEI)
B H630-02
(MEI)
H630-02
H630-02
Pure
Pure
Mathematics
Pure
Mathematics
Mathematics
andand
Statistics
and
Statistics
Statistics
Verified
Verified
Verified
Question
Question
Question
paper
paper
with
paper
with
Marking
with
Marking
Marking
Scheme
Scheme
Scheme
Attached.pdf
Attached.pdf
Attached.pdf
2025 OCR AS Level Mathematics B (MEI)
H630/02 Pure Mathematics and Statistics
Verified Question paper with Marking Scheme Attached
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
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
2025
2025
OCR
2025
OCR
AS
OCR
AS
Level
AS
Level
Mathematics
Level
Mathematics
Mathematics
B (MEI)
B (MEI)
B H630-02
(MEI)
H630-02
H630-02
Pure
Pure
Mathematics
Pure
Mathematics
Mathematics
andand
Statistics
and
Statistics
Statistics
Verified
Verified
Verified
Question
Question
Question
paper
paper
with
paper
with
Marking
with
Marking
Marking
Scheme
Scheme
Scheme
Attached.pdf
Attached.pdf
Attached.pdf
,2025
2025
OCR
2025
OCR
AS
OCR
AS
Level
AS
Level
Mathematics
Level
Mathematics
Mathematics
B (MEI)
B (MEI)
B H630-02
(MEI)
H630-02
H630-02
Pure
Pure
Mathematics
Pure
Mathematics
Mathematics
andand
Statistics
and
Statistics
Statistics
Verified
Verified
Verified
Question
Question
Question
paper
paper
with
paper
with
Marking
with
Marking
Marking
Scheme
Scheme
Scheme
Attached.pdf
Attached.pdf
Attached.pdf
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,
JnN= n!
n Cr = nCr = K O
wher r r!^n - rh!
e
LP
n ^ n - 1h 2 n^n - 1h...^n - r + 1h r
^1 + xhn = 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 + 12at2
s= 1 (u + v) t
2
v2 = u2 + 2as
s = vt - 12at2
© OCR 2025 H630/02 Jun25
2025
2025
OCR
2025
OCR
AS
OCR
AS
Level
AS
Level
Mathematics
Level
Mathematics
Mathematics
B (MEI)
B (MEI)
B H630-02
(MEI)
H630-02
H630-02
Pure
Pure
Mathematics
Pure
Mathematics
Mathematics
andand
Statistics
and
Statistics
Statistics
Verified
Verified
Verified
Question
Question
Question
paper
paper
with
paper
with
Marking
with
Marking
Marking
Scheme
Scheme
Scheme
Attached.pdf
Attached.pdf
Attached.pdf
,2025
2025
OCR
2025
OCR
AS
OCR
AS
Level
AS
Level
Mathematics
Level
Mathematics
Mathematics
B (MEI)
B (MEI)
B H630-02
(MEI)
H630-02
H630-02
Pure
Pure
Mathematics
Pure
Mathematics
Mathematics
andand
Statistics
and
Statistics
Statistics
Verified
Verified
Verified
Question
Question
Question
paper
paper
with
paper
with
Marking
with
Marking
Marking
Scheme
Scheme
Scheme
Attached.pdf
Attached.pdf
Attached.pdf
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
2025
2025
OCR
2025
OCR
AS
OCR
AS
Level
AS
Level
Mathematics
Level
Mathematics
Mathematics
B (MEI)
B (MEI)
B H630-02
(MEI)
H630-02
H630-02
Pure
Pure
Mathematics
Pure
Mathematics
Mathematics
andand
Statistics
and
Statistics
Statistics
Verified
Verified
Verified
Question
Question
Question
paper
paper
with
paper
with
Marking
with
Marking
Marking
Scheme
Scheme
Scheme
Attached.pdf
Attached.pdf
Attached.pdf
, 2025
2025
OCR
2025
OCR
AS
OCR
AS
Level
AS
Level
Mathematics
Level
Mathematics
Mathematics
B (MEI)
B (MEI)
B H630-02
(MEI)
H630-02
H630-02
Pure
Pure
Mathematics
Pure
Mathematics
Mathematics
andand
Statistics
and
Statistics
Statistics
Verified
Verified
Verified
Question
Question
Question
paper
paper
with
paper
with
Marking
with
Marking
Marking
Scheme
Scheme
Scheme
Attached.pdf
Attached.pdf
Attached.pdf
4
4 The pre-release material contains data for percentage employment rates in different areas
of England.
The diagram shows percentage employment rates between 2008 and 2022 for the North West of
England and the South East of England.
85.0
80.0
Employment
rate
(aged 75.0
16-64)
70.0
65.0
2005 2010 2015 2020 2025
Year
Key
Series 1
Series 2
(a) Use your knowledge of the pre-release material to explain whether Series 1 (the lower
time series) or Series 2 (the upper time series) represents the data for the South East of
England.
[1]
A student uses the LINEST function to model the data for Series 2.
(b) Assuming that a straight line model is reasonable, use your knowledge of the pre-release
material to explain whether it would be appropriate to use this model to calculate an
estimate of the percentage employment rate in Cornwall, in the South West of England, in
2011. [1]
© OCR 2025 H630/02 Jun25
2025
2025
OCR
2025
OCR
AS
OCR
AS
Level
AS
Level
Mathematics
Level
Mathematics
Mathematics
B (MEI)
B (MEI)
B H630-02
(MEI)
H630-02
H630-02
Pure
Pure
Mathematics
Pure
Mathematics
Mathematics
andand
Statistics
and
Statistics
Statistics
Verified
Verified
Verified
Question
Question
Question
paper
paper
with
paper
with
Marking
with
Marking
Marking
Scheme
Scheme
Scheme
Attached.pdf
Attached.pdf
Attached.pdf
