Numeracy Foundation June 2024 Unit 1 Q4
4.
(a)
Identical toothbrushes are sold in packs of 3 or 5.
A pack of 3 toothbrushes costs £1.44.
A pack of 5 toothbrushes costs £2.25.
Which pack of toothbrushes offers better value for money?
You must show all your working. [3]
(b)
75 ml tubes of toothpaste cost 93p each.
100 ml tubes of toothpaste offer the same value for money.
Calculate the cost of a 100 ml tube of toothpaste. [3]
| Scheme | Marks | Comments |
|---|---|---|
Method to compare the same number of toothbrushes, e.g. for 1, 5, 6, 15, 30 or 60 toothbrushes
| M1 | In £s: (see the table below) |
| An accurate calculation for a 3 pack OR a 5 pack, e.g. 48(p) or 45(p), (£)7.20 or (£)6.75 | A1 | |
| Cost of same number of toothbrushes for 3 pack AND 5 pack WITH conclusion pack of 5 is better value for money | A1 | If units are given, they must be correct Ignore any subsequent working, unless it adversely impacts on the conclusion |
Notes
In £s:
| 1 | 3 | 5 | 6 | 15 | 30 | 60 | |
|---|---|---|---|---|---|---|---|
| 3pk | 0.48 | (1.44) | 2.40 | 2.88 | 7.20 | 14.40 | 28.80 |
| 5pk | 0.45 | 1.35 | (2.25) | 2.70 | 6.75 | 13.50 | 27.00 |
In the original this table is printed in the Comments column of the first row.
| Scheme | Marks | Comments |
|---|---|---|
| (100 ml for) 93 × 4 ÷ 3 or 93 ÷ 3 + 93 or 93 × 20 ÷ 15 or 93 × 100 ÷ 75 or equivalent | M2 | M1 for any one of the following:
|
| (£)1.24 or 124(p) | A1 | If units are given, they must be correct |