Oxford Cambridge and RSA H
Tuesday 11 June 2025 – Morning
GCSE (9–1) Mathematics
J560/06 Paper 6 (Higher Tier)
Time allowed: 1 hour 30 minutes
You may use:
• a scientific or graphical calculator
• geometrical instruments
• tracing paper
*J56006*
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 may use an HB pencil for graphs and diagrams.
• Answer all the questions.
• Read each question carefully before you start to write your answer.
• Where appropriate, your answers should be supported with working. Marks may be
given for a correct method even if the answer is incorrect.
• Write your answer to each question in the space provided. Additional paper may be
used if required but you must clearly show your candidate number, centre number
and question number(s).
INFORMATION
• The total mark for this paper is 100.
• The marks for each question are shown in brackets [ ].
• Use the r button on your calculator or take r to be 3.142 unless the question says
otherwise.
• This document consists of 24 pages.
© OCR 2019 [601/4606/0]
DC (LK/TP) 178944/3
OCR is an exempt Charity
, 2
Turn over
Answer all the questions.
1 A grain of salt weighs 6 48. # 10-5kg on average. A
packet contains 0.35 kg of salt.
(a) Use this information to calculate the number of grains of salt in the packet.
(a) .............................................................[2]
(b) Explain why your answer to part (a) is unlikely to be the actual number of grains of salt in the
packet.
...................................................................................................................................................
...................................................................................................................................................
..............................................................................................................................................[1]
2 Tom researches the weights of plant seeds.
• One poppy seed weighs 3 10# -4grams.
• 250 pumpkin seeds weigh 21 grams.
• One sesame seed weighs 3 64. # 10-6 kilograms.
Write the three types of seed in order according to the weight of one seed.
Write the lightest type of seed first.
You must show how you decide.
© OCR 2019
, 3
............................ , ............................ , ............................[4]
lightest
3 (a) This spinner has two grey sections, two white sections and one black section.
Vlad says
1
The probability of the spinner landing on black is 5 .
Explain why Vlad is not correct.
...................................................................................................................................................
...................................................................................................................................................
..............................................................................................................................................
[1]
(b) The graph shows the cost of a litre of petrol for the last six months of 2017.
121
120
119
118
117
116
115
114
113
July Aug Sept Oct Nov Dec
Month
Explain why this graph is misleading.
© OCR 2019 Turn over
Tuesday 11 June 2025 – Morning
GCSE (9–1) Mathematics
J560/06 Paper 6 (Higher Tier)
Time allowed: 1 hour 30 minutes
You may use:
• a scientific or graphical calculator
• geometrical instruments
• tracing paper
*J56006*
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 may use an HB pencil for graphs and diagrams.
• Answer all the questions.
• Read each question carefully before you start to write your answer.
• Where appropriate, your answers should be supported with working. Marks may be
given for a correct method even if the answer is incorrect.
• Write your answer to each question in the space provided. Additional paper may be
used if required but you must clearly show your candidate number, centre number
and question number(s).
INFORMATION
• The total mark for this paper is 100.
• The marks for each question are shown in brackets [ ].
• Use the r button on your calculator or take r to be 3.142 unless the question says
otherwise.
• This document consists of 24 pages.
© OCR 2019 [601/4606/0]
DC (LK/TP) 178944/3
OCR is an exempt Charity
, 2
Turn over
Answer all the questions.
1 A grain of salt weighs 6 48. # 10-5kg on average. A
packet contains 0.35 kg of salt.
(a) Use this information to calculate the number of grains of salt in the packet.
(a) .............................................................[2]
(b) Explain why your answer to part (a) is unlikely to be the actual number of grains of salt in the
packet.
...................................................................................................................................................
...................................................................................................................................................
..............................................................................................................................................[1]
2 Tom researches the weights of plant seeds.
• One poppy seed weighs 3 10# -4grams.
• 250 pumpkin seeds weigh 21 grams.
• One sesame seed weighs 3 64. # 10-6 kilograms.
Write the three types of seed in order according to the weight of one seed.
Write the lightest type of seed first.
You must show how you decide.
© OCR 2019
, 3
............................ , ............................ , ............................[4]
lightest
3 (a) This spinner has two grey sections, two white sections and one black section.
Vlad says
1
The probability of the spinner landing on black is 5 .
Explain why Vlad is not correct.
...................................................................................................................................................
...................................................................................................................................................
..............................................................................................................................................
[1]
(b) The graph shows the cost of a litre of petrol for the last six months of 2017.
121
120
119
118
117
116
115
114
113
July Aug Sept Oct Nov Dec
Month
Explain why this graph is misleading.
© OCR 2019 Turn over
