Higher November 2023 Paper 2 Q6
6 Round 1 of voting for Head Student is taking place in a school.
(a) To reach round 2, a student must receive at least \(\dfrac{4}{15}\) of the votes.
What is the largest possible number of students that can reach round 2?
Circle your answer. [1 mark]
- 15
- 11
- 3
- 4
(b) There are 900 votes in round 1
Sean receives 180 votes.
Amy draws a pie chart to represent the results.
Here is her method to work out the angle needed for Sean.
| \(180 \div 900 \times 100 = 20\) The angle should be 20° |
Is Amy’s method correct?
Tick a box.
- Yes
- No
Give a reason for your answer. [1 mark]
| Answer | Mark | Comments |
|---|---|---|
| 3 | B1 |
| Answer | Mark | Comments |
|---|---|---|
| No and correct reason | B1 | eg no and this gives percentage (not angle) no and it should be \((\times)\) 360 (not 100) no and it should be 72 |
Additional guidance
| Yes indicated | B0 |
| If neither box is ticked then No may be implied by the reason eg She hasn’t used 360° for the circle | B1 |
| Ignore irrelevant, non-contradictory statements | |
| Do not ignore incorrect calculations or evaluations of the angle, or incorrect statements | |
| No and this is 20% | B1 |
| No and she still needs to work out 20% of 360 | B1 |
| No and a circle is 360° | B1 |
| No and angles in a pie chart are 360 | B1 |
| No and she needs to divide 360 by 5 | B1 |
| No, shouldn’t have \(\times\) by 100 | B0 |
| No, she should have divided 360 / divided by 360 | B0 |
| No and a circle has 360 not 180 | B0 |
| No and it’s not big enough | B0 |