Foundation January 2021 Paper 1R Q12
12 Rose and Haydn share £250 in the ratio 2 : 3
Rose gives all her share of the money to charity.
Haydn gives 42% of his share of the money to charity.
Rose gives more money to charity than Haydn gives to charity.
Work out how much more.
(5)
| Scheme | Marks |
|---|---|
| 250 ÷ (2 + 3) (= 50) | M1 |
| 50 × 2 (= 100) or 50 × 3 (= 150) | M1 |
\(\dfrac{42}{100} \times\) ‘150’ (= 63) or 0.42 × ‘150’ oe (= 63) | M1 |
| ‘100’ – ‘63’ | M1 |
| 37 | A1 |
| (5) | |
| (5 marks) |
Notes
M1: (indep) for a method to find 42% of their amount for Haydn
M1: (dep on M2) for finding difference between their amounts for Rose and Haydn
Alternative
| Scheme | Marks |
|---|---|
| \(\dfrac{2}{2 + 3} \times 100\) (= 40) | M1 |
| \(\dfrac{3}{2 + 3} \times 100 \times 0.42\) (= 25.2) oe | M1 |
| ‘40’ – ‘25.2’ (= 14.8) | M1 |
| \(\dfrac{\text{‘14.8’}}{100} \times 250\) or ‘0.148’ × 250 oe | M1 |
| 37 | A1 |
M1: for method to find the percentage of £250 that Rose gives to charity
M1: for method to find the percentage of £250 that Haydn gives to charity
M1: (dep M2) for method to find difference between the two percentages