Higher November 2020 Paper 1 Q7
7 Here is some information about 80 people who play in bands.
12 are singers but not guitar players.
30% are neither a singer nor a guitar player.
\(\dfrac{1}{4}\) of the guitar players are also singers.
Complete this Venn diagram to represent the information. [4 marks]
\(\xi\) = 80 people who play in bands
S = singers
G = guitar players
| Answer | Mark | Comments |
|---|---|---|
| 12 in correct position | B1 | |
| 24 in correct position | B1 | |
| 11 in correct position or 33 in correct position or their value in G only is three times their value in the intersection or their four values sum to 80 | B1ft | ft \(\dfrac{1}{4} \times (80 - 12 -\) their 24) ft \(\dfrac{3}{4} \times (80 - 12 -\) their 24) for this mark allow non-integers or values rounded or truncated to the nearest integer |
| 12, 24, 11 and 33 in correct positions | B1 |
Additional guidance
| Mark the Venn diagram only | |
 | B1B1B1B1 |