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OXFORD CAMBRIDGE AND RSA 2024 GCE Mathematics A H230/01: Pure Mathematics and Statistics AS Level ACTUAL QUESTION PAPER AND MARKING SCHEME (MERGED)$7.59
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OXFORD
CAMBRIDGE
AND RSA
2024
GCEMathematics
AH230/01: Pure
Mathematics and
StatisticsAS Level
OCR 2024
, Oxford Cambridge and RSA
Thursday 16 May 2024 – Afternoon
AS Level Mathematics A
H230/01 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 AnswerBooklet. 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 begiven
for using a correct method, even if your answer is wrong.
• Give non-exact numerical answers correct to 3 significant figures unless a differentdegree
of accuracy is specified in the question.
• The acceleration due to gravity is denoted by g m s–2. When a numerical value isneeded
use g = 9.8 unless a different value is specified in the question.
• Do not send this Question Paper for marking. Keep it in the centre or recycle it.
INFORMATION
• The total mark for this paper is 75.
• The marks for each question are shown in brackets [ ].
• This document has 8 pages.
ADVICE
• Read each question carefully before you start your answer.
,OCR is an exempt Charity
Turn over
, 3
Section A
AS Level Mathematics A (H230)
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 + bn neN ,
n n!
where n C = C = c m =
r n r r r!^n - rh!
Differentiation from first principles
f^x + hh - f^xh
f l^xh = lim
h"0 h
Standard deviation
/^x - xh2 / x2 / fx2
/ f ^x - xh2
= 2 -x 2
n n - x or /f = /f
The binomial distribution
n
If X + B n, p then P ^X = xh = c mp x ^1 - phn -x , mean of X is np, variance of X is np 1 - p
x
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