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Thursday 23 May 2024 – 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
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 8 pages.
ADVICE
• Read each question carefully before you start your answer.
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!
n
JnCN = C =
K O=
where r n r r r!^n - rh!
L P
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) = hlim
"0 h
Sample variance
2 1 ^/ xih
2
2 2 2 2
s = Sxx where Sxx = /(xi - -
= / xi - = / xi - n-x
n- n
x) 1
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)
2
t v2 = u2 +
2as s = vt -
2
1
at2
original
Thursday 23 May 2024 – 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
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 8 pages.
ADVICE
• Read each question carefully before you start your answer.
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!
n
JnCN = C =
K O=
where r n r r r!^n - rh!
L P
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) = hlim
"0 h
Sample variance
2 1 ^/ xih
2
2 2 2 2
s = Sxx where Sxx = /(xi - -
= / xi - = / xi - n-x
n- n
x) 1
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)
2
t v2 = u2 +
2as s = vt -
2
1
at2
original
