Higher June 2023 Paper 2R Q6
6 In his previous job, Pierre was paid 400 euros in total for working a 5-day week.
In his new job, Pierre is paid 14 euros per hour.
In his new job, Pierre works for 7 hours each day for a 5-day week.
(a) Work out the percentage increase in the amount that Pierre is paid for a 5-day week. (4)
Marie changes her job.
Her salary decreases by 6%
Her new salary is 23 030 euros.
(b) Work out Marie’s salary before she changes her job. (3)
| Scheme | Marks |
|---|---|
| 7 × 5 × 14 (= 490) oe or 7 × 14 (= 98) and 400 ÷ 5 (= 80) | M1 |
| “490” – 400 (= 90) or “98” – “80” (= 18) or “98” ÷ “80” oe or “490” ÷ 400 oe or 1.225 oe | M1 |
\(\dfrac{\text{``}90\text{''}}{400}(\times 100)(= 0.225)\) oe or \(\dfrac{\text{``}18\text{''}}{\text{``}80\text{''}}(\times 100)(= 0.225)\) oe or \(\dfrac{\text{``}98\text{''}}{\text{``}80\text{''}} \times 100\;(= 122.5)\) oe or \(\dfrac{\text{``}490\text{''}}{400} \times 100\;(= 122.5)\) oe or “1.225” – 1 (= 0.225) | M1 |
| Correct answer scores full marks (unless from obvious incorrect working) Answer: 22.5 | A1 |
| (4) |
Notes
M1: for working out the pay per week or pay per day
M1: dep on M2
A1: oe allow 23% with M3 awarded
| Scheme | Marks |
|---|---|
E.g. 1 − 0.06 (= 0.94) or 100(%) − 6(%) (= 94(%)) or \(\dfrac{23\,030}{94}\) (= 245) oe | M1 |
| E.g. 23 030 ÷ “0.94” or 23 030 ÷ “94” × 100 or 23 030 × 100 ÷ “94” or “245” × 100 | M1 |
| Correct answer scores full marks (unless from obvious incorrect working) Answer: 24 500 | A1 |
| (3) | |
| (7 marks) |