Foundation June 2018 Paper 2 Q11
11.
(a)
A bicycle wheel has a diameter of 700 mm.
Calculate the circumference of the wheel. [2]
(b)
A different wheel has a circumference of 1600 mm.
This wheel is rolled along the ground to measure distance.
A mark is made on the ground as the wheel completes each turn.
How far apart are the first and fourth marks?
Give your answer in metres. [3]
| Scheme | Marks | Comments |
|---|---|---|
| \(\pi\) x 700 | M1 | |
| = 2199(.114858) (mm) | A1 | Allow 700 \(\pi\) (mm) Accept answers in the range 2198 to 2200 (mm) |
| Scheme | Marks | Comments |
|---|---|---|
| 4800 (mm) | B2 | B1 for sight of 1600 x 3 or equivalent Ignore place value errors for B1. |
| = 4.8 (m) | B1 | FT ‘their 4800’ Award for appropriate conversion e.g 1600mm to 1.6m |
| (5) |