Exam (elaborations)
ACTUAL OCR 2024 OCR AS Level Mathematics A May-June 2024 Question Paper 2 WITH MARK SCHEME
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ACTUAL OCR 2024 OCR AS Level Mathematics A May-June 2024 Question Paper 2 WITH MARK SCHEME
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002870
, Oxford Cambridge and RSA
Thursday 23 May 2024 – Afternoon
AS Level Mathematics A
H230/02 Pure Mathematics and Mechanics
Time allowed: 1 hour 30 minutes
* 1 3 3 4 9 2 0 3 6 5 *
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 non-exact numerical answers correct to 3 significant figures unless a different
degree of accuracy is specified in the question.
• The acceleration due to gravity is denoted by g m s–2. When a numerical value is
needed 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 2024 [603/0933/7] OCR is an exempt Charity
DC (PQ/JG) 336084/3 Turn over
002871
, 2
Formulae
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 + b n ^n ! Nh,
n
where n C r = n C r = c m =
n!
r r! ^n - rh !
Differentiation from first principles
f ^x + hh - f ^xh
f l^xh = lim
h"0 h
Standard deviation
/^x - x h2 / x2 / f ^x - x h2 / fx 2
= - x 2 or = / f -x
2
n n /f
The binomial distribution
If X + B ^n, ph then P ^X = xh = c m p x ^1 - ph , mean of X is np, variance of X is np ^1 - ph
n n-x
x
Kinematics
v = u + at
s = ut + 12 at 2
s = 12 ^u + vh t
v 2 = u 2 + 2as
s = vt - 12 at 2
© OCR 2024 H230/02 Jun24
002872
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