Practice questions for the OCR GCSE Mathematics (J560), Foundation tier specification, for teaching in England. Every answer is explained, so you can see why the right option is right.
About this practice. Revision Robin is built and maintained by Bloor Engineering Ltd, a UK-registered company. Our GCSE Mathematics Foundation (OCR) questions are written and reviewed in-house to match the current syllabus, each with a plain-English worked explanation. They are original practice material, not the official exam questions and not affiliated with or endorsed by OCR. Always confirm current test rules, fees and content with the official provider. See our Terms and Privacy.
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Q1. Round 4782 to the nearest 100.
A. 4700
B. 4800
C. 4780
D. 5000
Show answer & explanation
✓ Answer: B. 4800
The hundreds digit is 7. The next digit (tens) is 8, which is 5 or more, so we round the hundreds digit up to 8, giving 4800.
Q2. Write 0.6 as a fraction in its simplest form.
A. 6/100
B. 1/6
C. 6/10
D. 3/5
Show answer & explanation
✓ Answer: D. 3/5
0.6 is six tenths, which is the fraction 6/10. This can be simplified by dividing both the numerator and the denominator by their highest common factor, 2, which gives 3/5.
Q3. The ratio of boys to girls in a club is 2:3. If there are 12 boys, how many girls are there?
A. 6
B. 8
C. 18
D. 30
Show answer & explanation
✓ Answer: C. 18
The '2' parts in the ratio represent the 12 boys. Find the value of one part by dividing 12 by 2, which is 6. The girls represent '3' parts, so multiply 3 by 6, which gives 18 girls.
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Who has to sit the GCSE Mathematics Foundation (OCR)
Who needs a GCSE Mathematics Foundation (OCR)?
All students in England until age 16. Those without Grade 4 or above must resit if continuing in full-time education.
The real GCSE Mathematics Foundation (OCR): format
How many questions are in the GCSE Mathematics Foundation (OCR)?
The real GCSE Mathematics Foundation (OCR) has 3 questions and lasts 270 minutes. Our mock uses 40 questions in 60 minutes.
What is the GCSE Mathematics Foundation (OCR) pass mark?
Real exam pass mark: Standard pass is Grade 4; for June 2026, this was 133 out of 300 marks. Our mock marks you at 24 out of 40, the threshold we mark against.
What it costs, and what a resit costs
How much does the GCSE Mathematics Foundation (OCR) cost?
Rebooking after a fail: Next November series for Maths, or next summer series.
How hard is it
What is the GCSE Mathematics Foundation (OCR) pass rate?
Real exam first-time pass rate: 71.8% for 16-year-olds in 2026. Difficulty: Aims for grades 1-5, focusing on essential skills; often requires mathematical reasoning and problem-solving.
Why people fail it
Why do people fail the GCSE Mathematics Foundation (OCR)?
Weak algebra foundations.
Poor exam technique (e.g., not showing working, misreading questions).
Unaddressed gaps from Key Stage 3 learning.
Figures for the real exam from vertexaisearch.cloud.google.com, checked October 2026. Fees and rules change, so confirm with the test provider before you book.
GCSE Mathematics Foundation (OCR): common questions
Frequently asked
How long do you get?
The test is timed at 60 minutes. Our full mock runs on the same clock so you can practise your pacing.
Are these the real exam questions?
No. Our questions are original and written to match the current syllabus, so they give realistic practice without copying the official paper. Every answer comes with a plain-English explanation. Always confirm current rules and content with OCR.