Oxford Cambridge and RSA
Wednesday 7 June 2023 – Morning
GCSE (9–1) Mathematics
J560/05 Paper 5 (Higher Tier)
Time allowed: 1 hour 30 minutes
H
You must have:
* 9 1 5 7 2 1 9 2 2 7 *
• the Formulae Sheet for Higher Tier (inside this
document)
You can use:
• geometrical instruments
• tracing paper
Do not use:
• a calculator
* J 5 6 0 0 5 *
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 be
given 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.
© OCR 2023 [601/4606/0] OCR is an exempt Charity
DC (RW/CB) 301220/3 Turn over
, 2
1 Work out.
33 4
'1
35 7
Give your answer as a fraction in its simplest form.
........................................................... [3]
2 The diagram shows two straight lines crossing a pair of parallel lines.
b° Not to scale
125°
a°
75°
(a) Write down the value of a.
Give a reason for your answer.
a = ............................ because ................................................................................................
.............................................................................................................................................. [2]
(b) Work out the value of b.
(b) b = ..................................................... [3]
© OCR 2023
, 3
3 Work out.
3.8 ' 0.02
........................................................... [2]
4 The diagram shows a prism of length 10 cm.
h cm 10 cm
b cm
The cross-section of the prism is a right-angled triangle.
The base, b cm, is 2 cm longer than the height, h cm.
The volume of the prism is 240 cm3.
A student is explaining how they worked out the value of b.
They say
b is 6 because that means h is 4 and 6 × 4 × 10 = 240.
Describe the student’s error and find the correct value of b.
The error is .......................................................................................................................................
..........................................................................................................................................................
b = ........................................................... [3]
© OCR 2023 Turn over
Wednesday 7 June 2023 – Morning
GCSE (9–1) Mathematics
J560/05 Paper 5 (Higher Tier)
Time allowed: 1 hour 30 minutes
H
You must have:
* 9 1 5 7 2 1 9 2 2 7 *
• the Formulae Sheet for Higher Tier (inside this
document)
You can use:
• geometrical instruments
• tracing paper
Do not use:
• a calculator
* J 5 6 0 0 5 *
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 be
given 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.
© OCR 2023 [601/4606/0] OCR is an exempt Charity
DC (RW/CB) 301220/3 Turn over
, 2
1 Work out.
33 4
'1
35 7
Give your answer as a fraction in its simplest form.
........................................................... [3]
2 The diagram shows two straight lines crossing a pair of parallel lines.
b° Not to scale
125°
a°
75°
(a) Write down the value of a.
Give a reason for your answer.
a = ............................ because ................................................................................................
.............................................................................................................................................. [2]
(b) Work out the value of b.
(b) b = ..................................................... [3]
© OCR 2023
, 3
3 Work out.
3.8 ' 0.02
........................................................... [2]
4 The diagram shows a prism of length 10 cm.
h cm 10 cm
b cm
The cross-section of the prism is a right-angled triangle.
The base, b cm, is 2 cm longer than the height, h cm.
The volume of the prism is 240 cm3.
A student is explaining how they worked out the value of b.
They say
b is 6 because that means h is 4 and 6 × 4 × 10 = 240.
Describe the student’s error and find the correct value of b.
The error is .......................................................................................................................................
..........................................................................................................................................................
b = ........................................................... [3]
© OCR 2023 Turn over
