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Ocr 2024 GCSE (9–1) Mathematics J560/05 Paper 5 (Higher Tier) Question Paper and Mark Scheme Merged $7.99   Add to cart

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Ocr 2024 GCSE (9–1) Mathematics J560/05 Paper 5 (Higher Tier) Question Paper and Mark Scheme Merged

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Ocr 2024 GCSE (9–1) Mathematics J560/05 Paper 5 (Higher Tier) Question Paper and Mark Scheme Merged

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  • October 1, 2024
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Ocr 2024 GCSE (9–1) Mathematics J560/05 Paper 5
(Higher Tier) Question Paper and Mark Scheme Merged



Oxford Cambridge and RSA


Ocr 2024 GCSE (9–1) Mathematics J560/05 Paper 5 (Higher Tier) Question
Paper and Mark Scheme Merged
Content:
 Formulae Sheet
 Question Paper
 Mark Scheme

@ Click2distinction


For use in June 2024 andNovember 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 theJune
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 sidesand h The solutions of ax2 + bx + c = 0 where a !0
is their perpendicular separation:
1
Area of a trapezium = (a + b) h

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 arethe
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:

sin A = cos A = tan A =
c c b

C In any triangle ABC where a, b and c are the
length of the sides:
sine rule:
b a sin B


1
Area of triangle = ab sin C
A c B 2
Compound Interest Probability
Where P is the principal amount, r is the interestrate Where P(A) is the probability of outcome A
over a given period and n is the number of times and P(B) is the probability of outcome B:
that the interest is compounded:
P(A or B) = P(A) + P(B) - P(A and B)

100 P(A and B) = P(A given B) P(B)




Copyright Information
OCR is committed to seeking permission to reproduce all third-party content that it uses in its assessment materials. OCR has attempted to identify and contact all copyright holders whose work is 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.

© OCR 2024 J560 04/05/06

,Monday 3 June 2024 – Morning
GCSE (9–1) Mathematics
J560/05 Paper 5 (Higher Tier)
Time allowed: 1 hour 30 minutes




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. If you need extra space use the lined
pages at the end of this booklet. The question numbers must be clearly shown.
• 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.

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.

1.2 '0.03




........................................................... [2]


2 Kai has these four number cards.



0 2 5 9

Kai takes two of the cards at random without replacement and finds the positive difference
between the two numbers.

(a) Complete the table to show all of the possible differences.

First card

Difference 0 2 5 9


0 2 5 9


2 2 3
Second
card 5 5


9 9


[2]

(b) Find the probability that Kai takes two cards with a difference that is an even number or afactor
of 10.




© OCR 2024

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