Numeracy Foundation November 2016 Unit 2 Q2
2. Mr Jones and his family visited a café for breakfast.
They ordered from the breakfast menu.
| BREAKFAST MENU | |
| Full breakfast £7.50 (Child’s breakfast half price) | Tea £1.85 |
| Cereal £2.95 | Coffee £1.85 |
| Toast and jam 95p | Fruit juice £1.95 |
(a) Complete their bill. [4]
| ITEM | COST (£) |
|---|---|
| 2 full breakfasts | £15.00 |
| 1 child’s breakfast | |
| 4 toast and jam | |
| 3 teas and 2 coffees | |
| TOTAL |
(b)
In this part of the question, you will be assessed on the quality of your organisation, communication and accuracy in writing.
Mr Jones paid for the breakfast with two £10 and three £5 notes, and told the waitress to keep the change as a tip.
A reasonable tip is thought to be more than 10% of the total cost of the bill.
Explain whether or not Mr Jones gave the waitress a reasonable tip.
You must show all your working. [4 + 2 OCW]
| Scheme | Marks | Comments |
|---|---|---|
| (1 child’s breakfast =) (£) 3.75 | B1 | Penalise −1 once only for values given in pence. |
| (4 toast and jam=) (£) 3.8(0) | B1 | |
| (3 teas and 2 coffees=) (£) 9.25 | B1 | |
| (Total=) (£) 31.8(0) | B1 | FT all three values in table. Do not penalise the same error twice. |
| Scheme | Marks | Comments |
|---|---|---|
| (Mr Jones pays 10+10+5+5+5 = £35) (Tip or Change =) 10+10+5+5+5 − 31.8(0) | M1 | FT ‘their (£)31.8(0)’ from (a) provided it is less than £35. |
| (Tip given to the waitress =) (£)3.2(0) | A1 | |
| (Reasonable tip 10% of 31.80 =) 31.8 ÷ 10 or equivalent | M1 | Award M1 for sight of 10% of ‘their (£)31.8(0)’ correctly evaluated. FT ‘their (£)31.8(0). Ignore rounding errors for M1 if 10% of each table value in (a) is calculated. |
| (£)3.18 AND a suitable conclusion e.g. Mr Jones gives a reasonable tip (as it is 2 pence more than the minimum suggested). | A1 | On FT, accept a conclusion consistent with ‘their £31.80’. e.g. for an answer of £33 in (a) accept £3.30 and ‘Mr Jones does not give a reasonable tip’. If no marks awarded, allow SC1 for 10% of (£)35 = (£)3.5(0) |
| For OC1, candidates will be expected to: • present their response in a structured way • explain to the reader what they are doing at each step of their response • lay out their explanations and working in a way that is clear and logical • write a conclusion that draws together their results and explains what their answer means. | OC1 | |
| For W1, candidates will be expected to: • show all their working • make few, if any, errors in spelling, punctuation and grammar • use correct mathematical form in their working • use appropriate units eg. £ and p. | W1 |
Alternative: for second M1 A1.
| Scheme | Marks | Comments |
|---|---|---|
| (35 – 31.80)/31.80 × 100 (%) | M1 | |
| =10.06(2893.) % AND a suitable conclusion. e.g. Mr Jones gives a reasonable tip as this is more than 10%. | A1 |
Alternative:
| Scheme | Marks | Comments |
|---|---|---|
| (A reasonable tip =) 31.8 ÷ 10 = (£)3.18 | B1 | |
| (Total with reasonable tip =) (£)31.80 + (£)3.18 | M1 | |
| = (£)34.98 | A1 | |
| (£35 - £34.98= 2p) with a suitable conclusion. e.g. The tip is reasonable as he is paid (2p) more. | A1 |