Numeracy Foundation June 2017 Unit 2 Q5
5. Luigi lives in south Wales.
Rosina lives in west Wales.
For each of the first 65 days of 2017, they recorded whether or not it rained.
Luigi recorded that it rained on 28 of these days.
Rosina recorded that it rained on 40% of these 65 days.
Luigi says,
‘For the first 65 days of 2017, there were more days with rain where I live than where Rosina lives.’
Is Luigi correct?
You must show all your working. [3]
| Scheme | Marks | Comments |
|---|---|---|
| 0.4(0) × 65 or (100 ×) 28/65 26 (days) or 43(.07.. %) | M1 A1 | Allow sight of 65 × 40% ÷ 100 If 43(...%) not shown, accept sight of 0.43... with 0.4(0) Accept sight of 26/65 for M1, A1 Accept without units, however, if units are given they must be correct Must follow from correct working, unless unsupported (- check if a partitioning method is correct for find finding %) Allow a slip in further working following award of M1, A1 provided it does not impact on the conclusion |
| Conclusion e.g. ‘Luigi is correct (as 43% > 40%)’, ‘Luigi is correct (as it only rained on 26 days in west Wales)’, ‘Luigi is correct’ (sight of \(\dfrac{28}{65}\) and \(\dfrac{26}{65}\) ) | E1 | Depends on M1 previously awarded, FT only provided: ‘their 43%’ > 40% or ‘their 26 days’ < 28 days Accept an answer ‘Luigi is correct’ if units are given correctly in workings, with like with like comparison Alternative (considering did not rain) (Did not rain for Luigi 65 – 28 ) 37 (days), FT ‘their 65 – 28’ 0.6(0) × 65 or (100 ×) 37/65 M1 39 (days) or 56.9(...%) or 57(%) A1 Conclusion, e.g. ‘Luigi is correct (as 57% < 60%) E1 Depends on M1 previously awarded FT provided: ‘their 39 days’ > 37 days or ‘their 56.9%’ < 60% |