Chapter 4: Review

The chapter problem, solved

A discount of $\frac{1}{4}$ is $25\%$. Find one quarter of £48.

$48\div4=£12$.

Subtract the discount from the original price.

$£48-£12=£36$.

The first shop charges £36. The second shop charges £37.50. The first shop is cheaper by $37.50-36=£1.50$.

Mixed practice: choose the method and explain why

1. Which is larger, $\frac{5}{8}$ or $0.6$? State the representation you chose.
2. Work out $\frac{2}{3}+\frac{3}{10}$.
3. Work out $\frac{4}{5}\div\frac{2}{3}$.
4. Write $0.28$ as a fraction in its simplest form.
5. H Write $0.\dot{4}$ as a fraction.
6. Work out $30\%$ of £90.
7. A £50 item is reduced by $10\%$. Work out its new price.
8. In Chapter 1 you used place value. Write $0.375$ in thousandths, then as a fraction.

What you can now do

• compare fractions, decimals and percentages;
• calculate with fractions and convert between representations;
• use fractions and percentages to find amounts and changes.

Your relevance reflection

Return to your example from the opener. Explain how the fraction, decimal or percentage described the amount. Add one new example if you can.