Thursday 11 June 2026 – Afternoon
A Level Mathematics B (MEI)
H640/02 Pure Mathematics and Statistics
Time allowed: 2 hours
*
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.
• You can write on this Question Paper but it will not be sent for marking.
INFORMATION
• The total mark for this paper is 100.
• The marks for each question are shown in brackets [ ].
• This document has 16 pages.
ADVICE
• Read each question carefully before you start your answer.
Cambridge OCR 2026 [603/1002/9] Cambridge OCR is an exempt Charity
DC (SL/TC) 365277/5 Turn over
, 2
Formulae A Level Mathematics B (MEI) (H640)
Arithmetic series
S n = 12 n ^a + lh = 12 n "2a + ^n - 1h d ,
Geometric series
a ^1 - r nh
Sn =
1-r
a
S3 = for r 1 1
1-r
Binomial series
^a + bhn = a n + n C1 a n - 1 b + n C2 a n - 2 b 2 + f + n Cr a n - r b r + f + b n ^n ! Nh,
JnN
n!
where C r = n C r = KK OO =
n
L P r! ^n - rh !
r
n ^n - 1h 2 n ^n - 1h f ^n - r + 1h r
^1 + xhn = 1 + nx + x +f+ x + f ^ x 1 1, n ! Rh
2! r!
Differentiation
f ^xh f l^xh
tan kx k sec 2 kx
sec x sec x tan x
cot x - cosec 2 x
cosec x - cosec x cot x
du dv
v -u
u dy dx dx
Quotient Rule y = , =
v dx v 2
Differentiation from first principles
f ^x + hh - f ^xh
f l^xh = lim
h"0 h
Integration
c f l^xh
dd dx = ln f ^xh + c
e f ^xh
; f l^xhaf ^xhk dx = n + 1 af ^xhk + c
n 1 n+1
Integration by parts ; u dx = uv - ; v dx
dv du
dx dx
Small angle approximations
sin i . i , cos i . 1 - 12 i 2 , tan i . i where i is measured in radians
Cambridge OCR 2026 H640/02 Jun26
, 3
Trigonometric identities
sin ^A ! Bh = sin A cos B ! cos A sin B
cos ^A ! Bh = cos A cos B " sin A sin B
tan ^A ! Bh = aA ! B ! ^k + 12h rk
tan A ! tan B
1 " tan A tan B
Numerical methods
Trapezium rule: ; y dx . 12 h "^y 0 + ynh + 2 ^y 1 + y 2 + f + yn - 1h, , where h =
b
b-a
n
f ^x nh
a
The Newton-Raphson iteration for solving f ^xh = 0: xn + 1 = x n -
f l^x nh
Probability
P ^A j Bh = P ^Ah + P ^Bh - P ^A k Bh
P ^A k Bh
P ^A k Bh = P ^Ah P ^B Ah = P ^Bh P ^A Bh or P ^A Bh =
P ^Bh
Sample variance
^/ xih2
S where S xx = /^xi - xh = / x i -
1 2
2
s = - 2
= / x 2i - nx- 2
n - 1 xx n
Standard deviation, s = variance
The binomial distribution
If X + B ^n, ph then P ^X = rh = n C r p r q n - r where q = 1 - p
Mean of X is np
Hypothesis testing for the mean of a Normal distribution
J N
If X + N ^n, v 2h then X + N KKn, OO and
X -n
+ N ^0, 1h
v2
L n P v n
Percentage points of the Normal distribution
p 10 5 2 1
1 p% 1 p%
z 1.645 1.960 2.326 2.576 2 2
z
Kinematics
Motion in a straight line Motion in two dimensions
v = u + at v = u + at
1 2
s = ut + 2 at s = ut + 12 at 2
s = 12 ^u + vh t s = 12 ^u + vh t
v 2 = u 2 + 2as
s = vt - 12 at 2 s = vt - 12 at 2
Cambridge OCR 2026 H640/02 Jun26 Turn over
A Level Mathematics B (MEI)
H640/02 Pure Mathematics and Statistics
Time allowed: 2 hours
*
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.
• You can write on this Question Paper but it will not be sent for marking.
INFORMATION
• The total mark for this paper is 100.
• The marks for each question are shown in brackets [ ].
• This document has 16 pages.
ADVICE
• Read each question carefully before you start your answer.
Cambridge OCR 2026 [603/1002/9] Cambridge OCR is an exempt Charity
DC (SL/TC) 365277/5 Turn over
, 2
Formulae A Level Mathematics B (MEI) (H640)
Arithmetic series
S n = 12 n ^a + lh = 12 n "2a + ^n - 1h d ,
Geometric series
a ^1 - r nh
Sn =
1-r
a
S3 = for r 1 1
1-r
Binomial series
^a + bhn = a n + n C1 a n - 1 b + n C2 a n - 2 b 2 + f + n Cr a n - r b r + f + b n ^n ! Nh,
JnN
n!
where C r = n C r = KK OO =
n
L P r! ^n - rh !
r
n ^n - 1h 2 n ^n - 1h f ^n - r + 1h r
^1 + xhn = 1 + nx + x +f+ x + f ^ x 1 1, n ! Rh
2! r!
Differentiation
f ^xh f l^xh
tan kx k sec 2 kx
sec x sec x tan x
cot x - cosec 2 x
cosec x - cosec x cot x
du dv
v -u
u dy dx dx
Quotient Rule y = , =
v dx v 2
Differentiation from first principles
f ^x + hh - f ^xh
f l^xh = lim
h"0 h
Integration
c f l^xh
dd dx = ln f ^xh + c
e f ^xh
; f l^xhaf ^xhk dx = n + 1 af ^xhk + c
n 1 n+1
Integration by parts ; u dx = uv - ; v dx
dv du
dx dx
Small angle approximations
sin i . i , cos i . 1 - 12 i 2 , tan i . i where i is measured in radians
Cambridge OCR 2026 H640/02 Jun26
, 3
Trigonometric identities
sin ^A ! Bh = sin A cos B ! cos A sin B
cos ^A ! Bh = cos A cos B " sin A sin B
tan ^A ! Bh = aA ! B ! ^k + 12h rk
tan A ! tan B
1 " tan A tan B
Numerical methods
Trapezium rule: ; y dx . 12 h "^y 0 + ynh + 2 ^y 1 + y 2 + f + yn - 1h, , where h =
b
b-a
n
f ^x nh
a
The Newton-Raphson iteration for solving f ^xh = 0: xn + 1 = x n -
f l^x nh
Probability
P ^A j Bh = P ^Ah + P ^Bh - P ^A k Bh
P ^A k Bh
P ^A k Bh = P ^Ah P ^B Ah = P ^Bh P ^A Bh or P ^A Bh =
P ^Bh
Sample variance
^/ xih2
S where S xx = /^xi - xh = / x i -
1 2
2
s = - 2
= / x 2i - nx- 2
n - 1 xx n
Standard deviation, s = variance
The binomial distribution
If X + B ^n, ph then P ^X = rh = n C r p r q n - r where q = 1 - p
Mean of X is np
Hypothesis testing for the mean of a Normal distribution
J N
If X + N ^n, v 2h then X + N KKn, OO and
X -n
+ N ^0, 1h
v2
L n P v n
Percentage points of the Normal distribution
p 10 5 2 1
1 p% 1 p%
z 1.645 1.960 2.326 2.576 2 2
z
Kinematics
Motion in a straight line Motion in two dimensions
v = u + at v = u + at
1 2
s = ut + 2 at s = ut + 12 at 2
s = 12 ^u + vh t s = 12 ^u + vh t
v 2 = u 2 + 2as
s = vt - 12 at 2 s = vt - 12 at 2
Cambridge OCR 2026 H640/02 Jun26 Turn over
