Fractions: unit and non-unit – Year 3 maths test answers to download as PDF

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1. Answer to Question 1 (4 marks)

   1. A unit fraction has 1 as its numerator. \(\frac{1}{8}\) and \(\frac{1}{5}\) both have numerator 1, so they are the unit fractions. (2 marks: 1 for each)
   2. The other two have numerators bigger than 1: \(\frac{3}{10}\) and \(\frac{5}{6}\) are the non-unit fractions. (1 mark)
   3. Counting in tenths: 1 tenth, 2 tenths, 3 tenths. So \(\frac{3}{10}\) is three lots of \(\frac{1}{10}\). (1 mark)

2. Answer to Question 2 (4 marks)

   1. To find a fifth, divide by 5: 40 ÷ 5 = 8, because 5 × 8 = 40. (1 mark)
   2. First find one quarter: 28 ÷ 4 = 7. Then three quarters is 3 × 7 = 21. (1 mark)
   3. First find one tenth: 50 ÷ 10 = 5. Seven tenths is 7 × 5 = 35. (2 marks: 1 for the tenth, 1 for 35)

3. Answer to Question 3 (4 marks)

   1. Add the numerators and keep the ninths: 2 + 4 = 6, so the answer is \(\frac{6}{9}\). (1 mark)
   2. Subtract the numerators: 8 − 3 = 5. The answer is \(\frac{5}{10}\), which is also one half. (1 mark)
   3. 5 + 7 = 12, so the sum is \(\frac{12}{12}\), which is 1 whole. (1 mark)
   4. Zoe and Dan eat 3 + 4 = 7 of the 10 pieces. 10 − 7 = 3 are left, which is \(\frac{3}{10}\) of the bar. (1 mark)

4. Answer to Question 4 (4 marks)

   1. \(\frac{1}{2}\) of 40 is 40 ÷ 2 = 20 beginners. (1 mark)
   2. \(\frac{1}{4}\) of 40 is 40 ÷ 4 = 10 improvers. (1 mark)
   3. The rest are advanced: 40 − 20 − 10 = 10 children. (1 mark)
   4. 10 out of 40 is \(\frac{10}{40}\). Dividing the top and the bottom by 10 gives \(\frac{1}{4}\) of the club. (1 mark)

5. Answer to Question 5 (4 marks)

   1. First find one fifth: 60 ÷ 5 = 12. Three fifths is 3 × 12 = 36 oranges. (2 marks: 1 for 12, 1 for 36)
   2. \(\frac{1}{10}\) of 60 is 60 ÷ 10 = 6 oranges. (1 mark)
   3. Take away both sales: 60 − 36 = 24, then 24 − 6 = 18 oranges left. (1 mark)

Total : 20 marks