Exam-Style Questions on Recurring Decimals

Problems on Recurring Decimals adapted from questions set in previous exams.

1.

GCSE Higher

(a) Use algebra to show that the recurring decimal $$0.\dot2 \dot4$$ can be written as $$\frac{8}{33}$$.

(b) Find the fraction, in its lowest terms, equal to the recurring decimal $$0.5 \dot2 \dot4$$.

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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