Oxford Cambridge and RSA
Thursday 16 May 2024 – Morning
GCSE (9–1) Mathematics
J560/04 Paper 4 (Higher Tier)
Time allowed: 1 hour 30 minutes
H
You must have:
* 1 3 9 4 9 4 4 1 4 0 *
• the Formulae Sheet for Higher Tier (inside this
document)
You can use:
• a scientific or graphical calculator
• geometrical instruments
• tracing paper
* J 5 6 0 0 4 *
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.
© OCR 2024 [601/4606/0] OCR is an exempt Charity
DC (PQ/SG) 335504/2 Turn over
, 2
1 Work out.
4 2
3 19.5 - 18
1.45
Write your answer correct to 4 significant figures.
.......................................................... [3]
2 The diagram shows a triangle and a trapezium.
9 cm Not to scale
6.4 cm 4.8 cm
18 cm 15 cm
Show that they have the same area. [3]
© OCR 2024
, 3
3 Four numbers are written, in ascending order, as algebraic expressions.
a a+b a + 2b 3a - b
The mean of these four numbers is 27.
The range of these four numbers is 24.
Find the value of a and the value of b.
You must show your working.
a = ..........................................................
b = .......................................................... [5]
© OCR 2024 Turn over
, 4
4 A school is deciding on a charity to support.
Each student at the school votes for one of four charities, A, B, C or D.
The results are to be shown in a pie chart.
This pie chart shows the sector for charity A.
Twice as many students voted for charity C than charity B.
Twice as many students voted for charity D than charity C.
A
52°
(a) (i) Show that the sector for charity B will have an angle of 44°. [2]
(ii) Complete the pie chart. [3]
© OCR 2024
Thursday 16 May 2024 – Morning
GCSE (9–1) Mathematics
J560/04 Paper 4 (Higher Tier)
Time allowed: 1 hour 30 minutes
H
You must have:
* 1 3 9 4 9 4 4 1 4 0 *
• the Formulae Sheet for Higher Tier (inside this
document)
You can use:
• a scientific or graphical calculator
• geometrical instruments
• tracing paper
* J 5 6 0 0 4 *
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.
© OCR 2024 [601/4606/0] OCR is an exempt Charity
DC (PQ/SG) 335504/2 Turn over
, 2
1 Work out.
4 2
3 19.5 - 18
1.45
Write your answer correct to 4 significant figures.
.......................................................... [3]
2 The diagram shows a triangle and a trapezium.
9 cm Not to scale
6.4 cm 4.8 cm
18 cm 15 cm
Show that they have the same area. [3]
© OCR 2024
, 3
3 Four numbers are written, in ascending order, as algebraic expressions.
a a+b a + 2b 3a - b
The mean of these four numbers is 27.
The range of these four numbers is 24.
Find the value of a and the value of b.
You must show your working.
a = ..........................................................
b = .......................................................... [5]
© OCR 2024 Turn over
, 4
4 A school is deciding on a charity to support.
Each student at the school votes for one of four charities, A, B, C or D.
The results are to be shown in a pie chart.
This pie chart shows the sector for charity A.
Twice as many students voted for charity C than charity B.
Twice as many students voted for charity D than charity C.
A
52°
(a) (i) Show that the sector for charity B will have an angle of 44°. [2]
(ii) Complete the pie chart. [3]
© OCR 2024
