Oxford Cambridge and RSA
Monday 3 June 2024 – Morning
GCSE (9–1) Mathematics
J560/05 Paper 5 (Higher Tier)
Time allowed: 1 hour 30 minutes
H
You must have:
* 1 3 9 5 1 3 7 1 3 8 *
• 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 2024 [601/4606/0] OCR is an exempt Charity
DC (PQ/FC) 340383/2 Turn over
, 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 a
factor of 10.
(b) ........................................................... [2]
© OCR 2024
, 3
3 (a) Ryan makes a journey of 200 miles from his home to the coast.
1
of the journey is on roads with a speed limit of 40 miles per hour.
10
40% of the journey is on roads with a speed limit of 50 miles per hour.
The remainder of the journey takes a time of 1 hour 30 minutes.
Ryan leaves home at 08 50 and does not exceed the speed limits on the journey.
Find the earliest time that Ryan could arrive at the coast.
You must show your working.
(a) ........................................................... [6]
(b) Write down an assumption you have made when working out the answer to part (a).
...................................................................................................................................................
.............................................................................................................................................. [1]
© OCR 2024 Turn over
, 4
4 The scatter diagram shows the test scores for 20 pupils in Science and Mathematics.
60
50
40
Mathematics 30
20
10
0
0 10 20 30 40 50 60
Science
(a) Describe the type of correlation shown in the scatter diagram.
(a) ........................................................... [1]
(b) One pupil took the Science test but was then ill during the Mathematics test and had to leave
early.
On the scatter diagram, circle the point that is most likely to represent this pupil. [1]
(c) By drawing a line of best fit, estimate the test score in Mathematics for a pupil who scored
28 in the Science test.
(c) ........................................................... [2]
(d) Explain why using the scatter diagram to estimate the test score in Mathematics for a pupil
who scored 60 in Science may be unreliable.
...................................................................................................................................................
.............................................................................................................................................. [1]
© OCR 2024
Monday 3 June 2024 – Morning
GCSE (9–1) Mathematics
J560/05 Paper 5 (Higher Tier)
Time allowed: 1 hour 30 minutes
H
You must have:
* 1 3 9 5 1 3 7 1 3 8 *
• 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 2024 [601/4606/0] OCR is an exempt Charity
DC (PQ/FC) 340383/2 Turn over
, 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 a
factor of 10.
(b) ........................................................... [2]
© OCR 2024
, 3
3 (a) Ryan makes a journey of 200 miles from his home to the coast.
1
of the journey is on roads with a speed limit of 40 miles per hour.
10
40% of the journey is on roads with a speed limit of 50 miles per hour.
The remainder of the journey takes a time of 1 hour 30 minutes.
Ryan leaves home at 08 50 and does not exceed the speed limits on the journey.
Find the earliest time that Ryan could arrive at the coast.
You must show your working.
(a) ........................................................... [6]
(b) Write down an assumption you have made when working out the answer to part (a).
...................................................................................................................................................
.............................................................................................................................................. [1]
© OCR 2024 Turn over
, 4
4 The scatter diagram shows the test scores for 20 pupils in Science and Mathematics.
60
50
40
Mathematics 30
20
10
0
0 10 20 30 40 50 60
Science
(a) Describe the type of correlation shown in the scatter diagram.
(a) ........................................................... [1]
(b) One pupil took the Science test but was then ill during the Mathematics test and had to leave
early.
On the scatter diagram, circle the point that is most likely to represent this pupil. [1]
(c) By drawing a line of best fit, estimate the test score in Mathematics for a pupil who scored
28 in the Science test.
(c) ........................................................... [2]
(d) Explain why using the scatter diagram to estimate the test score in Mathematics for a pupil
who scored 60 in Science may be unreliable.
...................................................................................................................................................
.............................................................................................................................................. [1]
© OCR 2024
