Pie charts, line graphs and the mean – Year 6 maths test answers to download as PDF

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1. Answer to Question 1 (3 marks)

   1. The whole circle is 360° for 60 pupils: 360 ÷ 60 = 6° per pupil. (1 mark)
   2. Multiply each frequency by 6: red 24 × 6 = 144°, blue 18 × 6 = 108°, green 12 × 6 = 72°, yellow 6 × 6 = 36°. (1 mark)
   3. 144 + 108 = 252, 252 + 72 = 324, 324 + 36 = 360°, a full circle. (1 mark)

2. Answer to Question 2 (4 marks)

   1. 80 ÷ 360 = \(\frac{2}{9}\) of a child for each degree. (1 mark)
   2. 135° out of 360° is \(\frac{3}{8}\). \(\frac{3}{8}\) of 80 = 30 children. (1 mark)
   3. 180° is half, so 40 children. (1 mark)
   4. 45/360 = \(\frac{1}{8}\), and \(\frac{1}{8}\) of 80 = 10 children cycle. (1 mark)

3. Answer to Question 3 (4 marks)

   1. 60 visitors. (1 mark)
   2. Busiest at 12; 60 − 20 = 40 more visitors. (1 mark)
   3. (20 + 35 + 60 + 50 + 30) ÷ 5 = 195 ÷ 5 = 39. (1 mark)
   4. Halfway between 35 and 60 is 47.5, so about 48 visitors (an estimate). (1 mark)

4. Answer to Question 4 (4 marks)

   1. (6 + 9 + 12 + 5 + 8) ÷ 5 = 40 ÷ 5 = 8. (1 mark)
   2. Total = 60. The known numbers add to 44, so the fourth is 16. (1 mark)
   3. 5 × 14 = 70. (1 mark)
   4. (70 + 20) ÷ 6 = 90 ÷ 6 = 15. (1 mark)

5. Answer to Question 5 (5 marks)

   1. 360 ÷ 120 = 3° for each member. Swimming 120°, tennis 90°, football 105°, badminton 45°. (2 marks)
   2. 35/120 = \(\frac{7}{24}\). (1 mark)
   3. (28 + 35 + 42) ÷ 3 = 105 ÷ 3 = 35. (1 mark)
   4. Total needed = 3 × 40 = 120. Third session = 120 − 38 − 36 = 46 members. (1 mark)

Total : 20 marks