Exam (elaborations)
ACTUAL OCR 2024 OCR A Level Mathematics A May-June 2024 Question Paper 3 WITH MARK SCHEME
ACTUAL OCR 2024 OCR A Level Mathematics A May-June 2024 Question Paper 3 WITH MARK SCHEME
[Show more]
Seller
Follow
Content preview
EXAM PREPTurn over
002786
, "#$%&&!'(&%)!*%!+((!*,(!+-./&(!%0!*,(!/-/($
12($(3!*%!4%5!'4!64$7%8!9-/($+
,**/+:;;*4$7%8/-/($+<#%.
=0!4%5!,->( -84!7++5(+!%$!?5($7(+@!3%!$(-#,!%5*!*%!
*4$7%8&-4AB.-7&<#%.
=C&&!,(&/!4%5!%5*!0%$!+5$(!
!" $%&"#'()*"+#,%,"-./#0-"+1)2"+#0%,"-./#3(,1)#2".2./#4(2"./#
56".21(7#8%7*.#%7+#.(#96)$#9(-"
002787
, Oxford Cambridge and RSA
Thursday 20 June 2024 – Afternoon
A Level Mathematics A
H240/03 Pure Mathematics and Mechanics
Time allowed: 2 hours
* 1 3 3 6 2 3 6 1 2 0 *
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 100.
• 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 2024 [603/1038/8] OCR is an exempt Charity
DC (PQ/SW) 336086/3 Turn over
002788
, 2
Formulae
A Level Mathematics A (H240)
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,
n
where n C r = n C r = c m =
n!
r r! ^n - rh !
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
© OCR 2024 H240/03 Ju n24
002789
The benefits of buying summaries with Stuvia:
Guaranteed quality through customer reviews
Stuvia customers have reviewed more than 700,000 summaries. This how you know that you are buying the best documents.
Quick and easy check-out
You can quickly pay through credit card for the summaries. There is no membership needed.
Focus on what matters
Your fellow students write the study notes themselves, which is why the documents are always reliable and up-to-date. This ensures you quickly get to the core!
Frequently asked questions
What do I get when I buy this document?
You get a PDF, available immediately after your purchase. The purchased document is accessible anytime, anywhere and indefinitely through your profile.
Satisfaction guarantee: how does it work?
Our satisfaction guarantee ensures that you always find a study document that suits you well. You fill out a form, and our customer service team takes care of the rest.
Who am I buying these notes from?
Stuvia is a marketplace, so you are not buying this document from us, but from seller tyrionlay12383. Stuvia facilitates payment to the seller.
Will I be stuck with a subscription?
No, you only buy these notes for £5.27. You're not tied to anything after your purchase.
Can Stuvia be trusted?
4.6 stars on Google & Trustpilot (+1000 reviews)
60281 documents were sold in the last 30 days
Founded in 2010, the go-to place to buy revision notes and other study material for 14 years now