Higher November 2017 Paper 2 Q3
3 Hasmeet walks once round a circle with diameter 80 metres.
There are 8 points equally spaced on the circumference of the circle.
(a) Find the distance Hasmeet walks between one point and the next point. (2)
Four of the points are moved, as shown in the diagram below.
Hasmeet walks once round the circle again.
(b) Has the mean distance that Hasmeet walks between one point and the next point changed?
You must give a reason for your answer. (1)
You must give a reason for your answer. (1)
| Answer | Mark | Notes |
|---|---|---|
| 31.4 | P1 | for working with circumference formula, eg \(\pi \times 80\ (= 251.\ldots)\) oe |
| A1 | for answer in the range 31.4 to 31.5 accept \(10\pi\) |
| Answer | Mark | Notes |
|---|---|---|
| No (supported) | C1 | Mean distance stays the same with reason, eg total distance remains unchanged or same number of points |