Test – C1.4 Fractions, Decimals and Percentages

IGCSE Mathematics  |  Practice Test  |  25 Questions

Instructions: Answer all 25 questions. Show your working where required. Write your answers in the spaces provided.
Section A — Recall
Questions 1–10   |   Write down or calculate the answer
1.

Write down the definition of a proper fraction and give one example.

2.

Write down the definition of an improper fraction and give one example.

3.

Write down the definition of a mixed number and give one example.

4.

Write $\dfrac{6}{8}$ in its simplest form.

5.

Convert $\dfrac{1}{4}$ to a decimal.

6.

Convert $\dfrac{1}{2}$ to a percentage.

7.

Convert $0.6$ to a percentage.

8.

Convert $75\%$ to a decimal.

9.

Convert $25\%$ to a fraction. Write your answer in its simplest form.

10.

Convert $\dfrac{9}{4}$ to a mixed number.

Section B — Application
Questions 11–20   |   Show all working
11.

Simplify $\dfrac{24}{36}$.

12.

Convert $2\dfrac{3}{4}$ to an improper fraction.

13.

Convert $\dfrac{7}{8}$ to a decimal.

14.

Convert $0.35$ to a fraction. Write your answer in its simplest form.

15.

Convert $\dfrac{3}{8}$ to a percentage.

16.

Convert $65\%$ to a fraction. Write your answer in its simplest form.

17.

Which is greater: $\dfrac{5}{8}$ or $60\%$? Show your working.

18.

Write $3\dfrac{1}{5}$ as a decimal.

19.

Convert $\dfrac{13}{5}$ to a mixed number.

20.

Write $0.125$ as a fraction in its simplest form.

Section C — Challenge
Questions 21–25   |   Show all working clearly
21.

Write these values in order from smallest to largest.

$\dfrac{7}{12}$     $0.62$     $\dfrac{3}{5}$     $58\%$

22.

Show that $\dfrac{14}{21}$ and $\dfrac{2}{3}$ are equivalent fractions.

23.

Write $4\dfrac{3}{8}$ as a decimal.

24.

Write $0.875$ as a fraction in its simplest form.

25.

Convert $\dfrac{5}{6}$ to a decimal. Give your answer correct to 2 decimal places.

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