OCR 2024 GCSE (9–1) Mathematics J560/04 Paper 4 (Higher Tier)
Question Paper and Mark Scheme Merged
OCR
Oxford Cambridge and RSA
OCR 2024 GCSE (9–1) Mathematics J560/04 Paper 4 (Higher Tier) Question Paper and
Mark Scheme Merged
Content:
Formulae Sheet
Question Paper
Mark Scheme
@ Click2distinction
For use in June 2024 and November 2024 only
GCSE (9–1) Mathematics
J560/04, J560/05, J560/06
Higher Tier Formulae Sheet
INSTRUCTIONS
• Do not send this Formulae Sheet for marking. Keep it in the centre or recycle it.
INFORMATION
• This Formulae Sheet does not include advance information about the content of the June
2024 or November 2024 examinations.
• This document has 2 pages.
, 2
Higher Tier Formulae Sheet
Perimeter, Area and Volume The Quadratic Formula
Where a and b are the lengths of the parallel sides and h The solutions of ax2 + bx + c = 0 where a ! 0
is their perpendicular separation:
1
Area of a trapezium = (a + b)h
2
Volume of a prism = area of cross section # length
Where r is the radius and d is the diameter:
Circumference of a circle = 2πr = πd Area of
a circle = πr 2
Pythagoras’ Theorem and Trigonometry
In any right-angled triangle where a, b and c are the
length of the sides and c is the hypotenuse:
a
In any right-angled triangle ABC where a, b and c
are the length of the sides and c is the hypotenuse:
C In any triangle ABC where a, b and c are the
length of the sides:
b a sin A sin B sin C
cosine rule: a2 = b2 + c2 - 2bc cos A
1
Area of triangle = ab sin C
A c B 2
Compound Interest Probability
Where P is the principal amount, r is the interest rate Where P(A) is the probability of outcome A
over a given period and n is the number of times that and P(B) is the probability of outcome B:
the interest is compounded:
r n P(A or B) = P(A) + P(B) - P(A and B)
Total accrued = Pd1 + n
100 P(A and B) = P(A given B) P(B)
Oxford Cambridge and RSA
Copyright Information
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used in this paper. To avoid the issue of disclosure of answer-related information to candidates, all copyright acknowledgements are reproduced in the OCR Copyright Acknowledgements Booklet.
This is produced for each series of examinations and is freely available to download from our public website (www.ocr.org.uk) after the live examination series.
If OCR has unwittingly failed to correctly acknowledge or clear any third-party content in this assessment material, OCR will be happy to correct its mistake at the earliest possible opportunity.
For queries or further information please contact The OCR Copyright Team, The Triangle Building, Shaftesbury Road, Cambridge CB2 8EA. OCR is part
of Cambridge University Press & Assessment, which is itself a department of the University of Cambridge.
,Thursday 16 May 2024 – Morning
GCSE (9–1) Mathematics
J560/04 Paper 4 (Higher Tier)
Time allowed: 1 hour 30 minutes
You must have:
• the Formulae Sheet for Higher Tier (inside this
document)
You can use:
• a scientific or graphical calculator
• geometrical instruments
• tracing paper
Please write clearly in black ink. Do not write in the barcodes.
Centre number Candidate number
First name(s)
Last name
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. You can use extra paper if you
need to, but you must clearly show your candidate number, the centre number and the
question numbers.
• 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.
• Use the r button on your calculator or take r to be 3.142 unless the question says
something different.
INFORMATION
• The total mark for this paper is 100.
• The marks for each question are shown in brackets [ ].
• This document has 20 pages.
ADVICE
• Read each question carefully before you start your answer.
, 2
1 Work out.
1.45
Write your answer correct to 4 significant figures.
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