Numeracy Foundation November 2024 Unit 2 Q1
1. In this question, you will be assessed on the quality of your organisation, communication and accuracy in writing.
Miss Michael is putting on a school show over 3 evenings:
Wednesday, Thursday, and Friday.
The total cost of putting on the show is £2370.
Miss Michael sells tickets for the show.
The number of tickets sold for each evening is shown below.
| Evening | Number of tickets |
|---|---|
| Wednesday | 256 |
| Thursday | 278 |
| Friday | 312 |
Each ticket costs £6.
Miss Michael pays the cost of putting on the show from the ticket money.
She then gives half of the remaining money to a local charity.
How much money does Miss Michael give to the local charity?
You must show all your working. [6 + 2 OCW]
| Scheme | Marks | Comments |
|---|---|---|
| (Total tickets sold 256 + 278 + 312 =) 846 | B1 | |
| (Cost of tickets) 846 × (£)6 = (£)5076 | M1 A1 | FT ‘their 256 + 278 + 312’ provided > 500 |
| (Money made) (£)5076 – (£)2370 | M1 | For the intention of subtracting FT ‘their 5076’ provided > 2370 |
| = (£)2706 | A1 | |
| (Money for charity) (£)1353 | B1 | FT for the following provided at least one mark previously awarded:
|
Alternative
The alternative method is printed in italics in the mark scheme; some of its comments are printed upright, as here.
1. Alternative method
| Scheme | Marks | Comments |
|---|---|---|
| (Cost of tickets) 256 × (£)6 + 278 × (£)6 + 312 × (£)6 | M2 | Award M1 for sight of one of
|
| = (£)5076 | A1 | CAO |
| (Money made) (£)5076 – (£)2370 | M1 | For the intention of subtracting FT ‘their 5076’ provided > 2370 |
| = (£)2706 | A1 | |
| (Money for charity) (£)1353 | B1 | FT for the following provided at least one mark previously awarded:
|
| Scheme | Marks | Comments |
|---|---|---|
| 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. |