Foundation June 2022 Paper 1 Q7
7.
(a)
In 2019, the cost of a train journey was £300.
In 1979, the cost of the same train journey was 8% of the cost in 2019.
How much did the journey cost in 1979? [2]
(b)
| Saver Railcard | |
| adult ticket: | \(\frac{1}{3}\) off * |
| child ticket: | 60% off * |
| *discount off normal ticket price only | |
Bob has a Saver Railcard.
He takes his 7-year-old grandson on a journey by train.
For this journey, the normal price of
- an adult ticket is £15,
- a child ticket is £8.
How much does Bob save in total when buying the two tickets using his railcard? [4]
| Scheme | Marks | Comments |
|---|---|---|
| (300 ÷ 100) × 8 oe | M1 | Full method; may be in stages; may be a build-up method e.g. ‘1% = 3, 2% = 3 + 3, 4% = 6 + 6, 8% = 12 + 12’ or ‘10% = 30, 5% = 15, 1% = 3, 15 + 9’ |
| (£)24(.00) | A1 | Allow £24.00p or 2400p; mark final answer |
| Scheme | Marks | Comments |
|---|---|---|
| If units are given they must be correct; | ||
| (15 ÷ 3 =) (£)5(.00) oe | B1 | |
| 8 ÷ 10 × 6 or 800 ÷ 10 × 6 oe | M1 | May be a build-up method e.g. 10% = 0.80, 50% = 4, 10% + 50 % = 0.80 + 4; Allow for \(\frac{60}{100}\times 800\) or \(\frac{60}{100}\times 8\) |
| (£)4.8(0) or 480(p) | A1 | CAO; implies M1 |
| (4.80 + 5 = ) (£)9.8(0) or 980(p) | B1 | FT ‘their 5’ + ‘their 4.8(0)’ providing correct method shown for each Allow £9.80p; correct answer implies 4 marks provided not from wrong working; mark final answer |
| (6) |
Alternative
| Scheme | Marks | Comments |
|---|---|---|
| (15 ÷ 3 × 2 =) (£)10(.00) oe | B1 | |
| 8 ÷ 10 × 4 or 800 ÷ 10 × 4 oe | M1 | May be a build-up method e.g. 10% = 0.80, 50% = 4, 50% − 10% = 4 − 0.80 ; Allow for \(\frac{40}{100}\times 800\) or \(\frac{40}{100}\times 8\) |
| (£)3.2(0) or 320(p) | A1 | CAO; implies M1 |
| (15 + 8 – 10 – 3.20 = ) (£)9.8(0) or 980(p) | B1 | FT 23 − ‘their 10’ − ‘their 3.2(0)’ providing correct method shown for each Allow £9.80p; correct answer implies 4 marks provided not from wrong working; mark final answer |
Corrected by Westie's Workshop
- The board's mark scheme printed “23 − ‘their 10’ + ‘their 3.2(0)’”. Changed to “23 − ‘their 10’ − ‘their 3.2(0)’” because both discounted prices are taken away from £23 (15 + 8 − 10 − 3.20).
Original: see the board's mark scheme PDF (link above).