Adding and subtracting fractions – Year 4 maths test answers to download as PDF

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1. Answer to Question 1 (4 marks)

   1. 9 ÷ 3 = 3, so 2 × 3 = 6: ⁶⁄₉ (1 mark).
   2. 8 ÷ 4 = 2, so 6 ÷ 2 = 3: ³⁄₄ (1 mark).
   3. ³⁄₄ = ⁶⁄₈, and ⁶⁄₈ is bigger than ⁵⁄₈, so ³⁄₄ is bigger (2 marks).

2. Answer to Question 2 (4 marks)

   1. The denominators are both 9, so add only the numerators: 3 + 4 = 7. The answer is ⁷⁄₉, which is less than 1, so it stays a proper fraction (1 mark).
   2. The denominators match, so take 3 from 7 in the numerator: 7 − 3 = 4, giving ⁴⁄₁₀. Dividing the top and the bottom by 2 gives the simpler form ²⁄₅ (1 mark).
   3. Add the numerators: 5 + 3 = 8, so the total is ⁸⁄₆. Six sixths make 1 whole, leaving ²⁄₆, so the answer is 1 ²⁄₆ = 1 ¹⁄₃ (2 marks: 1 for ⁸⁄₆, 1 for the mixed number).

3. Answer to Question 3 (4 marks)

   1. Step 1: find one fifth of 40 by dividing by the denominator: 40 ÷ 5 = 8. Step 2: multiply by the numerator to get three fifths: 3 × 8 = 24 (2 marks: 1 for each step). Check: ⁵⁄₅ of 40 would be 5 × 8 = 40.
   2. Step 1: one third of £36 is 36 ÷ 3 = £12. Step 2: two thirds is 2 × £12 = £24 (2 marks: 1 for each step). Check: the remaining third is £12, and £24 + £12 = £36.

4. Answer to Question 4 (4 marks)

   1. 3 + 4 = 7, so ⁷⁄₁₂ (1 mark).
   2. 12 − 7 = 5, so ⁵⁄₁₂ is left (1 mark).
   3. 5 and 12 have no common factor, so ⁵⁄₁₂ is already in its simplest form (1 mark).
   4. Yes: ³⁄₁₂ = ¹⁄₄, so he is right (1 mark).

5. Answer to Question 5 (4 marks)

   1. 80 ÷ 10 = 8 and 3 × 8 = 24 books (1 mark).
   2. 80 ÷ 5 = 16 and 2 × 16 = 32 books (1 mark).
   3. ²⁄₅ = ⁴⁄₁₀. Animals and story books: ³⁄₁₀ + ⁴⁄₁₀ = ⁷⁄₁₀. Space books: ¹⁰⁄₁₀ − ⁷⁄₁₀ = ³⁄₁₀ (2 marks).

Total : 20 marks