Higher June 2024 Paper 1 Q5
5 A school year has 78 students.
- 28 wear glasses.
- \(\dfrac{1}{4}\) of the students who wear glasses are left-handed.
- 30% of the students who do not wear glasses are left-handed.
(a) \(\xi =\) students in the school year
G \(=\) wears glasses
L \(=\) left-handed
Complete the Venn diagram. [3 marks]
(b) A left-handed student is chosen at random.
Work out the probability that the student wears glasses. [1 mark]
| Answer | Mark | Comments |
|---|---|---|
Fully correct diagram | B3 | B2 two or three correct numbers in correct positions B1 one correct number in correct position |
Additional guidance
Only mark the numbers in the diagram
| Answer | Mark | Comments |
|---|---|---|
| \(\dfrac{7}{22}\) or 0.318(…) or 31.8(…)% | B1ft | oe fraction, decimal or percentage correct or ft their diagram |
Additional guidance
| Answer as a ratio with or without \(\dfrac{7}{22}\) seen | B0 |
| Answer in words with \(\dfrac{7}{22}\) seen Answer in words without \(\dfrac{7}{22}\) seen | B1 B0 |
| \(\dfrac{7}{22}\) seen with incorrect conversion to decimal or percentage | B1 |
| Ignore any attempt to simplify or convert their \(\dfrac{7}{22}\) | B1ft |