Foundation November 2020 Paper 3 Q12
12 Some players were asked the shirt colour of their football team.
Each answer was either White, Blue, Red or Green.
A pie chart is drawn to represent the answers.
Two of the sectors are shown.
(a) The number who answered Red is three times the number who answered Green.
Complete the pie chart. [3 marks]
(b) There were 600 players altogether.
How many players answered White? [2 marks]
| Answer | Mark | Comments |
|---|---|---|
| \(360 - 75 - 165\) or 120 | M1 | oe |
| their \(120 \div 4\) or 30 or their \(120 \div 4 \times 3\) or 90 | M1dep | oe implied by one correctly drawn angle in pie chart \(\pm 2^\circ\) |
| \(30^\circ\) sector labelled Green or G and \(90^\circ\) sector labelled Red or R | A1 | \(\pm 2^\circ\) line must be ruled |
Additional guidance
Both sectors must be correctly labelled with letters or words for the accuracy mark
| Answer | Mark | Comments |
|---|---|---|
| \(\dfrac{75}{360}\) or \(\dfrac{360}{75}\) or \(\dfrac{600}{360}\) or \(\dfrac{360}{600}\) | M1 | oe eg \(75 \div 360\) eg 0.208… or 0.21 or 4.8 or 1.66… or 1.67 or 0.6 |
| 125 | A1 |
Additional guidance
| 125 out of 600 | M1A1 |
| \(\dfrac{125}{600}\) | M1A0 |