## Exam-Style Questions.## Problems adapted from questions set for previous Mathematics exams. |

## 1. | IGCSE Core |

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.

(a)

$$1\frac{5}{12} - \frac58$$(b)

$$\frac49 รท 6\frac23$$## 2. | 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) \(\frac19\)

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