Higher November 2022 Paper 1 Q10
10 Here is some information about 120 people who visit a shop.
\(\dfrac{3}{4}\) of the people buy neither a coat nor a dress.
19 people buy a coat.
14 people buy a dress.
Complete this Venn diagram to represent the information. [3 marks]
\(\xi\) = 120 people who visit the shop
C = people who buy a coat
D = people who buy a dress
| Answer | Mark | Comments |
|---|---|---|
| \(120 \div 4 \times 3\) or 90 | M1 | oe implied by 90 in the box and outside the circles |
| \(14 + 19 +\) their \(90 - 120\) or \(14 + 19 - 120 \div 4\) or 3 or \(19 -\) their 3 in C only and \(14 -\) their 3 in D only | M1 | oe their 90 must be \(\gt 87\) \(0 \lt\) their \(3 \lt 14\) |
| 16, 3, 11 and 90 in correct positions | A1 | SC1 their 4 Venn diagram values total 120, allow a blank intersection to imply 0 |
Additional guidance
| Allow up to M1M1 for working outside Venn diagram but Venn diagram takes precedence over working | |
| 3 in the intersection with 90 in the box and outside the circles | M1M1 |
| 3 in the intersection with a different number to 90 in the box and outside the circles | M0M1 |
 | M1M1A1 |