Page 1?OCR GCSE Official Question Paper: Mark Scheme & Solutions.? 1 1 of 60OCR GCSE Official Question Paper: Mark Scheme & Solutions
2025 OCR GCSE Mathematics J560/03
J560/03 Paper 3 (Foundation Tier)
Complete Question paper with Marking Scheme Combined
Wednesday 11 June 2025 – Morning
GCSE (9–1) Mathematics
J560/03 Paper 3 (Foundation Tier)
Time allowed: 1 hour 30 minutes
You must have:
• the Formulae Sheet for Foundation Tier (inside this
document)
You can use:
F
• 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. If you need extra space use the lined
page 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.
• 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 24 pages.
ADVICE
• Read each question carefully before you start your answer.
© OCR 2025 [601/4606/0] OCR is an exempt Charity
DC (DE/FC) 351953/3 Turn over
,Page 2?OCR GCSE Official Question Paper: Mark Scheme & Solutions.? 2 2 of 60OCR GCSE Official Question Paper: Mark Scheme & Solutions
2
1 The diagram shows a circle, centre O, and a straight line.
O
(a) Write down the mathematical name for
(i) the straight line
(a)(i) ....................................................................... [1]
(ii) the perimeter of the circle.
(ii) ....................................................................... [1]
(b) On the diagram, draw a diameter. [1]
2 (a) (i) Round 4352 to the nearest hundred.
(a)(i) ....................................................................... [1]
(ii) Round £5.3725 to the nearest penny.
(ii) £ ................................................................ [1]
(b) A decorator works out how much to charge for some painting.
The decorator
• rounds up the area to be painted to the next 10 m2
• then charges £65 for every 10 m2.
Work out how much the decorator charges for painting an area of 74 m2.
(b) £ ................................................................ [2]
© OCR 2025
,Page 3?OCR GCSE Official Question Paper: Mark Scheme & Solutions.? 3 3 of 60OCR GCSE Official Question Paper: Mark Scheme & Solutions
3
3 (a) Write 5 # 5 # 5 # 5 # 5 # 5 as a power of 5.
(a) ....................................................................... [1]
(b) Write down the value of 110.
(b) ....................................................................... [1]
(c) Work out.
4 # 4 # 4 - 33
(c) ............................................................... [2]
4 (a) Write 1% as a decimal.
(a) ....................................................................... [1]
(b) Write 35% as a fraction.
Give your answer in its simplest form.
(b) ....................................................................... [2]
(c) Work out 15% of 2 litres.
Give your answer in millilitres.
(c) ......................................................ml [3]
© OCR 2025 Turn over
, Page 4?OCR GCSE Official Question Paper: Mark Scheme & Solutions.? 4 4 of 60OCR GCSE Official Question Paper: Mark Scheme & Solutions
4
5 Enlarge the shaded shape with scale factor 3 and centre of enlargement at point P.
P
[2]
6 (a) The diagram shows a triangle with one side extended.
40° Not to scale
82°
a°
Work out the value of a.
(a) a =............................................................. [2]
(b) Complete the statement below using the correct symbol and value from this list.
1 90° = 90° 2 90° 1 180° = 180° 2 180°
When the two smallest angles in a triangle are added the answer is always ................................................ [1]
© OCR 2025
2025 OCR GCSE Mathematics J560/03
J560/03 Paper 3 (Foundation Tier)
Complete Question paper with Marking Scheme Combined
Wednesday 11 June 2025 – Morning
GCSE (9–1) Mathematics
J560/03 Paper 3 (Foundation Tier)
Time allowed: 1 hour 30 minutes
You must have:
• the Formulae Sheet for Foundation Tier (inside this
document)
You can use:
F
• 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. If you need extra space use the lined
page 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.
• 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 24 pages.
ADVICE
• Read each question carefully before you start your answer.
© OCR 2025 [601/4606/0] OCR is an exempt Charity
DC (DE/FC) 351953/3 Turn over
,Page 2?OCR GCSE Official Question Paper: Mark Scheme & Solutions.? 2 2 of 60OCR GCSE Official Question Paper: Mark Scheme & Solutions
2
1 The diagram shows a circle, centre O, and a straight line.
O
(a) Write down the mathematical name for
(i) the straight line
(a)(i) ....................................................................... [1]
(ii) the perimeter of the circle.
(ii) ....................................................................... [1]
(b) On the diagram, draw a diameter. [1]
2 (a) (i) Round 4352 to the nearest hundred.
(a)(i) ....................................................................... [1]
(ii) Round £5.3725 to the nearest penny.
(ii) £ ................................................................ [1]
(b) A decorator works out how much to charge for some painting.
The decorator
• rounds up the area to be painted to the next 10 m2
• then charges £65 for every 10 m2.
Work out how much the decorator charges for painting an area of 74 m2.
(b) £ ................................................................ [2]
© OCR 2025
,Page 3?OCR GCSE Official Question Paper: Mark Scheme & Solutions.? 3 3 of 60OCR GCSE Official Question Paper: Mark Scheme & Solutions
3
3 (a) Write 5 # 5 # 5 # 5 # 5 # 5 as a power of 5.
(a) ....................................................................... [1]
(b) Write down the value of 110.
(b) ....................................................................... [1]
(c) Work out.
4 # 4 # 4 - 33
(c) ............................................................... [2]
4 (a) Write 1% as a decimal.
(a) ....................................................................... [1]
(b) Write 35% as a fraction.
Give your answer in its simplest form.
(b) ....................................................................... [2]
(c) Work out 15% of 2 litres.
Give your answer in millilitres.
(c) ......................................................ml [3]
© OCR 2025 Turn over
, Page 4?OCR GCSE Official Question Paper: Mark Scheme & Solutions.? 4 4 of 60OCR GCSE Official Question Paper: Mark Scheme & Solutions
4
5 Enlarge the shaded shape with scale factor 3 and centre of enlargement at point P.
P
[2]
6 (a) The diagram shows a triangle with one side extended.
40° Not to scale
82°
a°
Work out the value of a.
(a) a =............................................................. [2]
(b) Complete the statement below using the correct symbol and value from this list.
1 90° = 90° 2 90° 1 180° = 180° 2 180°
When the two smallest angles in a triangle are added the answer is always ................................................ [1]
© OCR 2025
