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Exam-Style Question on Probability

A mathematics exam-style question with a worked solution that can be revealed gradually

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Question id: 484. This question is similar to one that appeared on a GCSE Higher paper in 2019. The use of a calculator is not allowed.

There are only crayons in a pencil case and the crayons are either orange, purple or brown.

The table shows the probability of taking at random a brown crayon from the pencil case.

Colour:orangepurplebrown
Probability:  0.4

The number of orange crayons in the pencil case is the same as the number of purple crayons.

(a) Complete the table.

There are 20 brown crayons in the pencil case.

(b) Work out the total number of crayons in the pencil case.

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If you need more practice try the self-checking interactive exercises called Probability.

The exam-style questions appearing on this site are based on those set in previous examinations (or sample assessment papers for future examinations) by the major examination boards. The wording, diagrams and figures used in these questions have been changed from the originals so that students can have fresh, relevant problem solving practice even if they have previously worked through the related exam paper.

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