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Exam-Style Questions.

Problems adapted from questions set for previous Mathematics exams.



Without using your calculator, work out the value of the following calculations giving each answer as a fraction in its lowest terms. You must show all your working.


$$1\frac{5}{12} - \frac58$$


$$\frac49 รท 6\frac23$$


GCSE Higher

Unit fractions have numerators equal to 1, for example \(\frac12\),\(\frac19\) and \(\frac{1}{36}\).

Unit fractions can be written as the sum of two different unit fractions, for example

$$\frac12 = \frac13 + \frac16$$

Write each of the following unit fractions as the sum of two different unit fractions.

(a) \(\frac14\)

(b) \(\frac16\)

(c) \(\frac19\)

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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