OCR
GCSE (9–1) Mathematics
Paper 3 (Higher Tier)
Time allowed: 1 hour 30 minutes
H
You must have:
• the Formulae Sheet for Higher Tier (inside this
document)
You can use:
• a scientific or graphical calculator
• geometrical instruments
• tracing paper
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 26 pages.
ADVICE
• Read each question carefully before you start your answer.
Predicted papers 2026 for more: tyrionpapers.com
,1. A student rolls two fair four-sided dice each numbered 1, 2, 3 and 4. They add
the two scores together.
(a). Complete the sample space diagram to show the possible outcomes from the
dice.
[2]
(b). Find the probability that the student gets an even total.
(b) .......................................................... [1]
(c). Find the probability that the student gets the same score on each dice.
(c) .......................................................... [1]
Predicted papers 2026 1 for more: tyrionpapers.com
, 2. The circumference of a circle is 23 cm.
Show that the area of the circle is 42.1cm2 , correct to 3 significant figures.
[4]
3. Light from the Sun travels 1 kilometer in 3.3 x 10 6 seconds.
The distance from the Sun to the Earth is 1.5 x 108 kilometres.
How long does it take light to travel from the Sun to the Earth?
Give your answer in minutes and seconds
.
............... minutes.............. Seconds [4]
Predicted papers 2026 2 for more: tyrionpapers.com
GCSE (9–1) Mathematics
Paper 3 (Higher Tier)
Time allowed: 1 hour 30 minutes
H
You must have:
• the Formulae Sheet for Higher Tier (inside this
document)
You can use:
• a scientific or graphical calculator
• geometrical instruments
• tracing paper
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 26 pages.
ADVICE
• Read each question carefully before you start your answer.
Predicted papers 2026 for more: tyrionpapers.com
,1. A student rolls two fair four-sided dice each numbered 1, 2, 3 and 4. They add
the two scores together.
(a). Complete the sample space diagram to show the possible outcomes from the
dice.
[2]
(b). Find the probability that the student gets an even total.
(b) .......................................................... [1]
(c). Find the probability that the student gets the same score on each dice.
(c) .......................................................... [1]
Predicted papers 2026 1 for more: tyrionpapers.com
, 2. The circumference of a circle is 23 cm.
Show that the area of the circle is 42.1cm2 , correct to 3 significant figures.
[4]
3. Light from the Sun travels 1 kilometer in 3.3 x 10 6 seconds.
The distance from the Sun to the Earth is 1.5 x 108 kilometres.
How long does it take light to travel from the Sun to the Earth?
Give your answer in minutes and seconds
.
............... minutes.............. Seconds [4]
Predicted papers 2026 2 for more: tyrionpapers.com
