Free KS2 Fractions and Decimals Test

Fractions are where many Year 5 and 6 children wobble. Ten questions on comparing, simplifying and converting, each with the working.

1. Which is bigger: ⅗ or ½?

Answer: ⅗ = 0.6 and ½ = 0.5, so ⅗ is bigger. (Or use tenths: ⁶⁄₁₀ against ⁵⁄₁₀.)

2. Simplify ⁶⁄₈

Answer: Divide the top and bottom by their highest common factor, 2: ⁶⁄₈ = ¾.

3. What is ⅓ of 27?

Answer: 27 ÷ 3 = 9.

4. Write ⅖ as a decimal

Answer: ⅖ = ⁴⁄₁₀ = 0.4.

5. Write 0.75 as a fraction

Answer: 0.75 = ⁷⁵⁄₁₀₀, which simplifies (÷25) to ¾.

6. ¾ − ½ =

Answer: ½ = ²⁄₄, so ¾ − ²⁄₄ = ¼.

7. ⅔ × 6 =

Answer: ⅔ of 6: 6 ÷ 3 = 2, then 2 × 2 = 4.

8. Write ⁷⁄₄ as a mixed number

Answer: 4 goes into 7 once with 3 left over, so ⁷⁄₄ = 1¾.

9. Which fraction is the same as 50%?

Answer: 50% means 50 out of 100, which is ½.

10. ¼ + ⅛ =

Answer: ¼ = ²⁄₈, so ²⁄₈ + ⅛ = ⅜.

About this test

Fractions, decimals and percentages are three ways of writing the same idea. Children who can switch between them confidently find both SATs papers, and later GCSE maths, much easier.

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