Foundation November 2023 Paper 3 Q20
20 The diagram shows a Penny Farthing bicycle.
Not to scale
The diameter of the large wheel is 130 cm.
The diameter of the small wheel is 46 cm.
On a short journey, the large wheel makes exactly 69 rotations.
The small wheel also makes an exact number of rotations.
Work out the number of rotations made by the small wheel. [4]
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| 195 | 4 | B3 for answer that rounds to 195 OR M3 for \(\dfrac{[\pi \times]130}{[\pi \times]46} \times 69\) oe or M2 for \(\dfrac{[\pi \times]130}{[\pi \times]46}\) or \([\pi \times]130 \times 69\) or M1 for \(\pi \times 130\) soi 408.4… or \(\pi \times 46\) soi 144.5… | May be in stages or in metres Implied by 2.82[6…] or 8970 or 28180. … If multiple calculations refer to general guidance |