Fractions: thirds, quarters and halves – Year 2 maths test answers to download as PDF

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1. Answer to Question 1 (4 marks)

   1. The rectangle is split into 4 equal parts and 1 part is shaded. The bottom number shows the 4 equal parts and the top number shows the 1 shaded part: ¹⁄₄. (2 marks: 1 for equal parts counted, 1 for the fraction)
   2. The circle is split into 3 equal parts and 2 of them are shaded, so the fraction is ²⁄₃ (two thirds). (2 marks: 1 for seeing 3 equal parts, 1 for ²⁄₃)

2. Answer to Question 2 (4 marks)

   1. Half means divide by 2: 18 ÷ 2 = 9, because 9 + 9 = 18. (1 mark)
   2. A quarter means divide by 4. Half of 28 is 14 and half of 14 is 7, so a quarter of 28 is 7. (1 mark)
   3. A third means divide by 3: 24 ÷ 3 = 8, because 8 + 8 + 8 = 24. (1 mark)
   4. First find one quarter: 12 ÷ 4 = 3. Three quarters is 3 lots of that: 3 + 3 + 3 = 9. (1 mark)

3. Answer to Question 3 (4 marks)

   1. Two quarters fill the same space as one half, so ²⁄₄ = ¹⁄₂. The missing number is 2. (1 mark)
   2. A whole cut into quarters has 4 equal parts, so 4 quarters make one whole. (1 mark)
   3. ²⁄₄ is the same amount as ¹⁄₂. Both children eat half of the pizza, so they eat the same amount; nobody eats more. (2 marks: 1 for equal fractions, 1 for the conclusion)

4. Answer to Question 4 (4 marks)

   1. A quarter of 24 means 24 ÷ 4. Half of 24 is 12 and half of 12 is 6, so Ali eats 6 sweets. (1 mark)
   2. Take Ali's sweets away from the jar: 24 − 6 = 18 sweets left. (1 mark)
   3. His sister eats half of the 18 left: 18 ÷ 2 = 9 sweets. (1 mark)
   4. Take her 9 away from the 18: 18 − 9 = 9 sweets are left at the end. (1 mark)

5. Answer to Question 5 (4 marks)

   1. A third of 24 means 24 ÷ 3. 8 + 8 + 8 = 24, so 8 children bring sandwiches. (1 mark)
   2. A quarter of 24 means 24 ÷ 4 = 6, so 6 children bring a hot meal. (1 mark)
   3. Take both groups away from 24: 24 − 8 = 16, then 16 − 6 = 10 children buy lunch at the cafe. (1 mark)
   4. Each of the 8 sandwich children has 2 biscuits. Count in 2s eight times: 8 × 2 = 16 biscuits. (1 mark)

Total : 20 marks