OCR 2021 MATHS
Oxford Cambridge and RSA
Wednesday 13 October 2021 – Afternoon
AS Level Mathematics B (MEI)
H630/02 Pure Mathematics and Statistics
Time allowed: 1 hour 30 minutes
* 8 9 7 9 0 8 8 2 3 9 *
You must have:
• the Printed Answer Booklet
• a scientific or graphical calculator
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. You can use extra paper if you need to, but you must clearly show your
candidate number, the centre number and the question numbers.
• 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 2021 [603/0991/X] OCR is an exempt Charity
DC (CJ/SW) 300417/5 Turn over
, 2
Formulae AS Level Mathematics B (MEI) (H630)
Binomial series
(a + b) n = a n + n C 1 a n–1 b + n C 2 a n–2 b 2 + ... + n C r a n–r b r + ... + b n ^n ! Nh,
JnN
n!
where n C r = n C r = KK OO =
r
L P r! ^n - rh !
n ^n - 1h 2 n ^n - 1h ... ^n - r + 1h r
^1 + xhn = 1 + nx + x + ... + x + ... ^ x 1 1, n ! Rh
2! r!
Differentiation from first principles
f ^x + hh - f (x)
f l (x) = lim
h "0 h
Sample variance
1 ^/ xih2
2
s = - 2 2
S where S xx = (xi - x ) = x i -
/ / = / x 2i - nx- 2
n - 1 xx n
Standard deviation, s = variance
The binomial distribution
If X + B ^n, ph then P (X = r) = n Cr p r q n - r where q = 1 - p
Mean of X is np
Kinematics
Motion in a straight line
v = u + at
1
s = ut + at 2
2
1
s = (u + v) t
2
v 2 = u 2 + 2as
1
s = vt - at 2
2
© OCR 2021 H630/02 Oct21
Oxford Cambridge and RSA
Wednesday 13 October 2021 – Afternoon
AS Level Mathematics B (MEI)
H630/02 Pure Mathematics and Statistics
Time allowed: 1 hour 30 minutes
* 8 9 7 9 0 8 8 2 3 9 *
You must have:
• the Printed Answer Booklet
• a scientific or graphical calculator
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. You can use extra paper if you need to, but you must clearly show your
candidate number, the centre number and the question numbers.
• 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 2021 [603/0991/X] OCR is an exempt Charity
DC (CJ/SW) 300417/5 Turn over
, 2
Formulae AS Level Mathematics B (MEI) (H630)
Binomial series
(a + b) n = a n + n C 1 a n–1 b + n C 2 a n–2 b 2 + ... + n C r a n–r b r + ... + b n ^n ! Nh,
JnN
n!
where n C r = n C r = KK OO =
r
L P r! ^n - rh !
n ^n - 1h 2 n ^n - 1h ... ^n - r + 1h r
^1 + xhn = 1 + nx + x + ... + x + ... ^ x 1 1, n ! Rh
2! r!
Differentiation from first principles
f ^x + hh - f (x)
f l (x) = lim
h "0 h
Sample variance
1 ^/ xih2
2
s = - 2 2
S where S xx = (xi - x ) = x i -
/ / = / x 2i - nx- 2
n - 1 xx n
Standard deviation, s = variance
The binomial distribution
If X + B ^n, ph then P (X = r) = n Cr p r q n - r where q = 1 - p
Mean of X is np
Kinematics
Motion in a straight line
v = u + at
1
s = ut + at 2
2
1
s = (u + v) t
2
v 2 = u 2 + 2as
1
s = vt - at 2
2
© OCR 2021 H630/02 Oct21
