Numeracy Foundation June 2025 Unit 1 Q4
4. In this question, you will be assessed on the quality of your organisation, communication and accuracy in writing.
Angharad has a food truck.
She sells hotdogs at festivals.
Each hotdog consists of a bread roll and a sausage.
The table shows her costs for a festival last month.
| Fees paid to the festival organiser | £450 |
| Bread rolls | £1.50 for 6 bread rolls |
| Sausages | £4 for 10 sausages |
Angharad bought enough bread rolls and sausages to make 300 hotdogs.
She sold all the hotdogs for £5 each.
What was Angharad’s total profit?
You must show all your working. [8 + 2 OCW]
| Scheme | Marks | Comments |
|---|---|---|
| (cost of bread rolls) 300 ÷ 6 × 1(.)50 or 50 x 1(.)50 | M1 | May be seen in stages |
| (£)75 | A1 | |
| (cost of sausages) 300 ÷ 10 × 4 or 30 x 4 | M1 | |
| (£)120 | A1 | |
| (Profit) 5 × 300 – (450+75+120) | M2 | For M2, FT 5×300–(450+‘their stated or derived 75’+‘their stated or derived 120’) provided at least M1 previously awarded If M2 not awarded, award M1 for any one of the following:
|
| (£)855 | A2 | FT 5×300–(450+‘their stated or derived 75’+‘their stated or derived 120’) correctly evaluated If 855 seen but then further working completed, such as 855 – 645 = 210 profit, award M1A1 only from the last M2A2 Award A1 for any one of the following:
|
| Organisation and communication | OC1 | 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 |
| Writing | W1 | 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 terminology, units, etc. |
Alternative method
4. Alternative method
(looking at the cost 1 OR any multiple of 6 and 10)
| Scheme | Marks | Comments |
|---|---|---|
| Correct method for the: cost of one bread roll OR multiple of 6 and 10 And cost of one sausage OR multiple of 6 and 10 | M1 | May be seen in stages (see the table below) |
| Correct evaluation | A1 | |
| Correct method to find cost of 300 hotdogs FT provided M1 awarded | m1 | |
| (£)195 | A1 | CAO If M0A0m0A0, award SC1 for the appropriate sight of any one of the following costs: 25p or 40p or £15 or £24 or £7.5(0) or £12 |
| (Profit) 5 × 300 – (450+195) | M2 | For M2, FT 5×300–(450 + ‘their stated or derived 195’) provided at least M1m1 previously awarded If M2 not awarded, award M1 for any one of the following:
|
| (£)855 | A2 | FT 5×300 – (450 + ‘their derived 195’) correctly evaluated provided at least M1 m1 awarded Award A1 for any one of the following:
|
| No of hotdogs | 1 | 60 | 30 |
| Method for cost of bread rolls AND sausages | 1(.)50÷6 AND 4(.00)÷10 | 1(.)50×10 AND 4(.00)×6 | 1(.)50×5 AND 4(.00)×3 |
| Costs | (25p+40p=) 65p or (£)0.65 | (£15+£24=) (£)39 | (£7.50+£12=) (£)19.50 |
| Method for cost of 300 hotdogs | 65p × 300 | (£)39 × 300 ÷ 60 | (£)19.50 × 300 ÷ 30 |
The alternative method is printed in italics in the original. OC1 and W1 apply to either method.