iGCSE Mathematics (0580) : C1.4 Use directed numbers in practical situations. iGCSE Style Questions Paper 1

Question

Complete the table.

▶️ Answer/Explanation

Solution

Fraction: $\frac{1}{4}$, Percentage: 25, Decimal: 0.2

1. 0.25 is equivalent to $\frac{1}{4}$ and 25%.

2. 20% is equivalent to $\frac{1}{5}$ and 0.2.

3. Complete the table by filling in the missing values.

Question

Without using a calculator, work out $1 \frac{5}{6} ÷ \frac{11}{15}$.

Give your answer as a mixed number in its simplest form.

▶️ Answer/Explanation

Solution

Ans: $2 \frac{1}{2}$

1. Convert mixed number to improper fraction: $\frac{11}{6}$

2. Change division to multiplication by reciprocal: $\frac{11}{6} × \frac{15}{11}$

3. Simplify: $\frac{15}{6} = \frac{5}{2} = 2 \frac{1}{2}$

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