United Kingdom · Foundation

GCSE Maths Foundation Paper 2 free practice questions with answers

Read question 1 and its full worked answer from paper 1 of our 20-paper GCSE Maths Foundation Paper 2 set, then download the 3-page PDF. These are original practice questions, not official past papers. Page updated 3 November 2026.

Question 1

(2 marks)

A bag contains 6 red counters, 6 blue counters and 2 green counters. A counter is taken at random.

Work out the probability that the counter is NOT red.

Answer

Worked answer

Question 1 (2 marks) [Probability]

A bag contains 6 red counters, 6 blue counters and 2 green counters. A counter is taken at random. Work out the probability that the counter is NOT red.

Answer:

  • P(not red) = 1 − P(red), or add the other colours.
  • P(red) = • Simplified:

Probability = favourable ÷ total; P(not A) = 1 − P(A); for 'or' with exclusive events, add.

Download the free sample: 3 questions and answers (PDF)

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Questions about this sample

What is in the GCSE Maths Foundation Paper 2 free sample?

The first 3 questions from paper 1 of the set, in the real exam layout, followed by the step-by-step worked answers. It is a 3-page PDF; this page shows question 1 with its answer.

How many full GCSE Maths Foundation Paper 2 papers are there?

20 original papers for GCSE Maths Foundation students. Each is an 80-mark calculator paper in 1 hour 30 minutes, with a worked solution for every question. Papers start at A$11.99 and download instantly as a PDF.

Are these official past papers?

No. The sample is taken from our own original practice paper and is not an official past paper or affiliated with any exam authority.