## 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)

$$\frac49 ÷ 6\frac23$$## 2. | GCSE Higher |

Find the product of the two numbers below giving your answer as a mixed number in its simplest form.

$$ 3 \frac{2}{3} $$ | $$ 4 \frac{2}{5} $$ |

## 3. | GCSE Higher |

Unit fractions have numerators equal to 1, for example \(\dfrac12\),\(\dfrac19\) and \(\dfrac{1}{36}\).

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) \(\dfrac14\)

(b) \(\dfrac16\)

(c) \(\dfrac19\)

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