Foundation November 2022 Paper 1 Q10
10. Nico’s normal pay rate was £20 for each hour he worked.
Nico normally worked 35 hours each week.
Any extra hours Nico worked were hours of overtime.
Nico’s pay rate for each hour of overtime was 1·5 times his normal pay rate.
(a) Show that Nico earns £700 in a week when he does not work any hours of overtime. [1]
(b)
(i)
One week, Nico worked for 38 hours.
Calculate Nico’s pay for this week. [2]
(ii)
The next week, Nico earned £1060.
How many hours of overtime did Nico work?
You must show all your working. [4]
(c)
The following week, Nico’s normal pay rate increased.
He did not work any hours of overtime.
He earned £735 for that week.
(i) Show that Nico had a pay increase of less than 6%. [2]
(ii)
Dana works with Nico and they work the same number of hours.
Dana had a pay increase of 6%.
She says,
My pay went up by a greater percentage so I earn more than Nico now.
Explain why Dana may not be correct. [1]
| Scheme | Marks | Comments |
|---|---|---|
| \(35 \times\) (£)20 = (£)700 | B1 |
| Scheme | Marks | Comments |
|---|---|---|
| (i) (£)700 + (38 − 35) \(\times\) (£)20 \(\times\) 1.5 oe | M1 | e.g. \(700 + 3 \times 30\) or \(700 + 4.5 \times 20\) or \(38 \times 20 + 3 \times 20 \times 0.5\) |
| (£)790 | A1 | |
| (ii) (£)1060 – (£)700 oe | M1 | |
| (£)360 | A1 | |
| \(360 \div 30\) oe | M1 | FT ‘their 360’ providing M1 awarded and ‘their overtime rate’ from (b)(i) provided \(\neq 20\); may be implied by e.g. a build-up method adding 30 until ‘their 360’ is reached |
| 12 (hours) | A1 | FT If no marks, award SC2 for an answer of 18 (from \(1060 \div 20 = 53\), leading to 53 – 35) |
| Scheme | Marks | Comments |
|---|---|---|
| (i) \(\frac{6}{100} \times\) (£)700 = 42 ( > 35 ) OR £1 per hour extra and \(\dfrac{1}{20} = \dfrac{5}{100} = 5\%\) (< 6%) oe OR \(\dfrac{35}{700} = \dfrac{5}{100} = 5\%\) (< 6%) oe OR 10% (of £700) = (£)70 5% (of £700) = (£)35, increase is 5% (< 6%) OR \(\frac{6}{100} \times\) (£)20 = 1.2(0) (> 1) with sight of £1 per hour extra | B2 | B1 for any one of the following:
|
| (ii) Valid explanation e.g. ‘She might have been earning a lot less per hour than Nico before the pay increase.’ | E1 | Allow e.g. ‘It would be true if she was earning the same as Nico.’ ‘Dana might not have the same (initial) pay as Nico’. ‘It depends on what they were earning initially’. Accept examples which show Dana’s statement might not be correct e.g. Dana’s initial pay = £500. E0 for reference to only overtime. |
| (10) |