Numeracy Foundation June 2019 Unit 1 Q3
3. Gwenda wants to raise money for the children’s ward of her local hospital.
She would like to complete a sponsored walk of 90 miles along part of the coastal path of Wales.
(a) Gwenda is sponsored a total of £3 per mile by her family and friends.
Also, a local company will give her 40% of the total amount she receives from her family and friends.
How much money will the local company give Gwenda if she completes the walk? [3]
Also, a local company will give her 40% of the total amount she receives from her family and friends.
How much money will the local company give Gwenda if she completes the walk? [3]
(b) Gwenda knows that 5 miles is approximately 8 kilometres.
How many kilometres is 90 miles? [2]
How many kilometres is 90 miles? [2]
| Scheme | Marks | Comments |
|---|---|---|
| 40/100 × £3 × 90 or equivalent e.g. (£)3 × 90 ÷ 10 × 4 | M2 | M1 for: 40/100 × (£)3 (=1.2(0)) OR 40/100 × 90 (=36) OR (£)3 × 90 (=270) These may be implied in workings with other incorrect workings, e.g. 90 ÷ 3(= 30)then 40/100 × (90 ÷ 3) (= 12) |
| (£)108 | A1 | ISW E.g. Ignore further working. e.g. 108 + 270 = 378 or 270 – 108 = 162 |
| Scheme | Marks | Comments |
|---|---|---|
| 90 ÷ 5 × 8 or equivalent e.g. 90 × 1.6 18 × 8 Or use of 10 miles is 16km and 9 × 16 | M1 | Method may be seen in stages. Calculation that could lead to the correct answer if evaluated correctly. |
| 144 (km) | A1 |