Numeracy Foundation June 2017 Unit 2 Q2
2.
David and Gwyn have decided to take part in a charity running event.
They both ordered some new running kit from an online discount store.
| A pair of trainers | A pair of socks | A pair of leggings |
|---|---|---|
| £39.99 | £2.99 | £12.90 |
| A running vest | A pair of shorts | A water bottle |
|---|---|---|
| £15.50 | £11.98 | £6.00 |
David ordered the following items:
- 1 pair of trainers,
- 2 pairs of shorts,
- 3 pairs of socks.
What was the total cost of these items?
You must show all your working. [3]
The discount store has a delivery charge of £6.99 for all orders under £100.
For all orders of £100 or over, delivery is free.
Gwyn calculated that the cost of the items in his order would be £96.62.
Explain how Gwyn would actually save money by adding two pairs of socks to his order.
You must show all your working. [3]
David aims to raise £200 for his chosen charity.
He set up a “Sponsor me please” page on social media.
This is David’s page at the end of the first week.
The percentage has been blanked out.
| David’s Page David is raising money for a charity. Please help him to reach his target of £200. Donate | Current total raised £32.00 | ☐ % |
Was he correct?
Show your working. [2]
What percentage of his target was still to be raised? [1]
David and Gwyn kept a training record as they prepared for the charity event.
They recorded the number of miles that they ran each day.
The mileage for week one is shown below.
| Mon | Tue | Wed | Thur | Fri | Sat | Sun | |
|---|---|---|---|---|---|---|---|
| David | 1 | 8 | 2 | 1 | 7 | 1 | 5 |
| Gwyn | 1 | 4 | 1 | 6 | 2 | 1 | 12 |
Gwyn thinks that his average daily mileage is greater than David’s.
Explain why using the medians would not show this.
You must show all your working. [3]
| Scheme | Marks | Comments |
|---|---|---|
| 2(a)(i) (Total cost =) (£)39.99+ 2 × 11.98 + 3 × 2.99 | M2 | M1 for an attempt to add any two of the three required costs. |
| = (£)72.92 | A1 | FT provided M1 awarded If no marks awarded Sc1 for (£)54.96 from (£)39.99+ (£)11.98 + (£)2.99 |
| 2(a)(ii) (Gwyn’s current order total cost = ) (96.62 + 6.99) = (£)103.61 | B1 | |
| (Gwyn’s order plus socks total cost = ) (96.62 + 2 × 2.99) = (£)102.6(0) | B1 | B2 ‘Gwyn makes a saving of (£)1.01’ |
| ‘Lower cost as no delivery charge’ (yet more items ordered) ‘If he didn’t buy the socks, the delivery charge would apply which is more than the cost of the socks’. | E1 | Allow for E1 Statements indicating ‘free delivery’ or reference to cost of socks. Calculations with words that ‘reference the delivery cost OR cost of socks’. Do NOT allow for E1 Calculations without any reference or explanation. ‘because it will be cheaper by £1.01’ with no further comment. Ignore incorrect statements regarding savings, along with a correct answer e.g. He saves £1.1 because of the free delivery charge. Alternative: Stating (2 × 2.99=) (£)5.98 makes the total greater than £100. B1 Compare (£)6.99 and (£)5.98 B1 Lower cost as no delivery charge (yet more items ordered) E1 |
| Scheme | Marks | Comments |
|---|---|---|
| 2(b)(i) (£)168 | B1 | |
| 2(b)(ii) 15/100×200 (£)30 and a statement that he is correct | M1 A1 | Or equivalent method 32/200(×100%) Or 16% and a statement that he is correct. |
| 2(b)(iii) 43(%) | B1 |
| Scheme | Marks | Comments |
|---|---|---|
| Ordering at least one set of data (David) 1 1 1 2 5 7 8 (Gwyn) 1 1 1 2 4 6 12 | M1 | |
| At least one median is 2 | A1 | |
| A comment explaining that the medians are the same. | E1 | E0 for unsupported comments. |