Numeracy Foundation November 2023 Unit 2 Q4
4. Alys is buying a pair of shoes online from a company in Italy.
The shoes are labelled with European sizes.
Alys uses the rules below to calculate her European shoe size.
Alys measures the length of her foot as 22·5 cm.
Alys thinks that she will be a European shoe size 37.
Is Alys correct?
Give a reason for your answer. [3]
Yes ☐ No ☐
| Scheme | Marks | Comments |
|---|---|---|
| (22.5 (cm) ÷ 2·5) 9 (inches) | B1 | Ignore any incorrect units given. Workings may be on the diagram. May be implied |
| 9 × 3.75 + 2.25 36 and no indicated | M1 A1 | FT ‘their derived 9’ provided ≠ 22.5 FT appropriate response from ‘their 9’ Allow rounded or truncated answers on FT with the appropriate response. |
Alternative
The alternative method is printed in italics in the mark scheme.
4. Alternative method
| Scheme | Marks | Comments |
|---|---|---|
| ((37 – 2.25) ÷ 3.75 =) 9.2(6…..) | B1 | Ignore any incorrect units given. Workings may be on the diagram. May be implied. Rounded or truncated |
| 9.2(6..) × 2.5 23(.16666….) and no indicated | M1 A1 | FT ‘their derived 9.2(6….).’ provided ≠ 37 Accept answers in the range 23 to 23.25 |