Numeracy Foundation November 2020 Unit 1 Q10
10.
(a)
Rowan is going to make some muffins.
To make the muffins, he buys:
- muffin cases,
- ingredients,
- 1 flag per muffin, for decoration.
A pack of 16 muffin cases costs 22p.
The ingredients to make 6 muffins cost 25p.
A bag of 12 flags costs 40p.
Rowan buys 4 bags of flags.
Rowan plans to make as many muffins as possible and have no cases, ingredients or flags left over.
He will sell the muffins for 30p each.
Calculate Rowan’s profit when he sells all the muffins he makes.
You must show all your working. [8]
(b)
Gerry makes biscuits.
Each box of biscuits costs him 80p to make.
He sells them for £4 a box.
Calculate the percentage profit Gerry makes on each box sold. [2]
| Scheme | Marks | Comments |
|---|---|---|
| Shown in pence, accept in £. However, if units are incorrect penalise – 1 once only, unless corrected in further work Mark final answers at each stage (then possible FT) | ||
| (Cost of flags 4 × 40 =) 160(p) | B1 | Accept use of ‘their derived number of flags’ as ‘their 48 (4×12) flags’ FT their consistent number of flags for all marks, then penalise -1 if ‘their derived number of flags’ ≠ 48 |
| (Cost of muffin cases ) (12 × 4 ÷ 16) × 22 or 3 × 22 (=) 66 (p) | M1 A1 | |
| (Cost of ingredients ) (12 × 4 ÷ 6) × 25 or 8 × 25 (=) 200 (p) | M1 A1 | If previous M0, M0 award SC1 here for sight of any one of the following:
|
| (Money taken in selling 12 × 4 × 30 =) 1440(p) | B1 | |
| (Profit) 1440 – 160 – 66 – 200 (= 1440 – 426) | M1 | FT the following:
|
| 1014(p) or (£)10.14 | A1 | If units are given they must be correct |
Corrected by Westie's Workshop
- The board's mark scheme printed “(= 1440 – 4.26)”. Changed to “(= 1440 – 426)” because the costs add to 426p, so the bracket must read 1440 – 426 (pence) to give the printed answer of 1014p.
Original: see the board's mark scheme PDF (link above).
| Scheme | Marks | Comments |
|---|---|---|
| \(\dfrac{400-80}{80}\) ( × 100) or equivalent | M1 | |
| 400 (%) | A1 |