Higher June 2022 Paper 2 Q4
4. A circular wheel makes 42 complete turns each minute.
(a) How many degrees does it turn through in one second? [3]
(b)
(i) State one assumption you have made in your answer to part (a). [1]
(ii) How would your answer to part (a) change if this assumption was not correct? [1]
| Scheme | Marks | Comments |
|---|---|---|
| \(\dfrac{42}{60} \times 360\) or \(42 \times 6\) or \(360 \times 0.7\) oe | M2 | M1 for appropriate sight of \(\dfrac{42}{60}\) or 0.7 oe or \(42 \times 360\ (= 15\,120)\) |
| 252(°) | A1 | CAO |
| Scheme | Marks | Comments |
|---|---|---|
| (b)(i) A valid assumption e.g. ‘The wheel spins at a constant speed.’ or ‘The wheel is spinning at the same rate all the time’ | E1 | Allow e.g. ‘Each turn takes the same amount of time’ ‘The wheel is spinning at the same speed’ ’We do not know precisely how many degrees it turns in a second’ ‘The wheel turns every second’ ‘The wheel never stops and starts’ ‘The wheel is always spinning’. Allow answers that state that the timing must not vary e.g. ‘Each second must be accurate’ Do not allow, ‘The wheel turns 252° each second’. |
| (b)(ii) A valid impact based on their valid assumption e.g. ‘If it was spinning faster, it may have turned through more degrees’ or ‘If it was spinning more slowly, it may have turned through fewer degrees.’ | E1 | If no valid assumption is made, then this mark cannot be awarded. Cannot award E0 E1. Allow e.g. ‘My answer would be different.’ |
| (5) |