Foundation June 2023 Paper 2 Q10
10. The conversion graph below may be used to change between distances in miles and distances in kilometres.
Use the graph to answer the following questions.
(a)
Aaron and Jenny both went for a run.
Aaron ran 28 km and Jenny ran 15 miles.
Who ran the longer distance?
Aaron ☐ Jenny ☐
Show how you decide. [1]
(b)
Complete the following statement. [2]
You must show all your working.
36 miles is equal to ………… km.
| Scheme | Marks | Comments |
|---|---|---|
| Aaron indicated with e.g. (28 km is) between 17 and 18 miles (inclusive) or (15 miles is) 24 km or ‘Aaron ran 4km more (than Jenny)’ | B1 | Allow justification indicated on the graph. If both conversions are carried out, then they must both be correct. |
| Scheme | Marks | Comments |
|---|---|---|
| A clear method shown e.g. 12 miles is 19(.2)km AND 19(.2) × 3, or 18 miles is 29 km AND 29 × 2, or 36 × 8 ÷ 5 oe | M1 | Allow M1 for e.g. 6miles = 10km AND 10 × 6 = 60km |
| Accept answers in the range 54 – 58(km) inclusive. | A1 | Not from incorrect working. Note: Unsupported answers in the range 54 – 58(km) are awarded M1 A1. |
| (3) |