Numeracy Foundation November 2024 Unit 1 Q6
6.
Charlton Garden Centre sells plant pots and saucers.
At the garden centre, Enid buys twice as many plant pots as she does saucers.
The cost of a plant pot is 40p.
The cost of a saucer is 25p.
She spends £10.50 buying these plant pots and saucers.
Calculate how much Enid spends on buying the saucers.
You must show all your working. [3]
Enid spends £ …………… buying the saucers
Charlton Garden Centre sells packets of wild flower seeds.
| Bee Flower Mix 1 g packet of seeds £2.49 | Cornfield Flower Mix 5 g packet of seeds £15 | Butterfly Flower Mix 3 g packet of seeds £7.20 |
Which of the three different packets of seeds is the best value for money?
Bee Flower Mix ☐ Cornfield Flower Mix ☐ Butterfly Flower Mix ☐
You must show all your working. [4]
Gareth buys packets of Cosmos flower seeds to sow in a part of his garden.
The diagram below shows this part of his garden.
Diagram not drawn to scale
A 2·5 g packet of Cosmos seeds costs £8.20.
Gareth needs 1 gram of Cosmos seeds to sow an area of 1 m2.
Calculate how much it costs Gareth to buy the packets of Cosmos seeds he needs to sow this part of the garden.
You must show all your working. [5]
From the formula list: Area of trapezium \(= \dfrac{1}{2}(a+b)h\)
| Scheme | Marks | Comments |
|---|---|---|
Method, e.g. trial to cost with twice as many pots as saucers
| M1 | Accept sight of 105(p) or (£)1.05 as suitable method Allow for a suitable pair of double the number of plant pots to saucers, e.g. 18 pots and 9 saucers with 18 × 40 and 9 × 25 |
Calculation that would lead to a total cost of £10.50 or 10 saucers, e.g.
| A1 | May be implied from sight of 10 saucers or 10 lots of 25p or (£)2.50 |
| (Cost of 10 saucers 10 × 25p) (£)2.5(0) | B1 | Must be as a final answer Answer space takes precedence Allow M1 A1 B1 for an unambiguous correct response |
| Scheme | Marks | Comments |
|---|---|---|
Method to compare the 3 packets, e.g.
| M2 | May be in stages with different pairs of mixes compared, eliminated and a further suitable pair compared M1 for method to compare 2 packets, e.g.
|
| Accurate calculation(s) for comparison of 2 packets | A1 | FT from M1 or M2 If units are given they must be correct, penalise once only |
| Accurate calculations for comparison of the 3 packets AND Conclusion, ‘Butterfly Flower Mix’, indicated or unambiguously implied | A1 |
| Scheme | Marks | Comments |
|---|---|---|
| (Area sown) ½ × (3.5 + 4.5) × 1.6 or 3.5 × 1.6 + ½ × (4.5 – 3.5) × 1.6 (= 5.6 + 0.8) | M1 | Allow intention of brackets, may be implied in further working |
6.4 (m2) | A1 | CAO FT only if an attempt to work with the trapezium to find ‘their derived area’, which may dimensionally incorrect, e.g. a length or a volume, otherwise no further FT. The calculation for ‘their derived area’ must include at least 2 of 3.5, 4.5 and 1.6 |
| (Number of packets of seeds) 3 | B1 | (6.4 ÷ 2.5 = 2.56 so 3 packs) May be implied in further working FT ‘their derived 6.4’ ÷ 2.5 (rounded up to a whole number) provided both of the following conditions are met:
|
| (Cost of Cosmos seeds) 3 × 8(.)20 | M1 | Depends on either B1 previously awarded or on ‘their derived 6.4’ ÷ 2.5 rounded down to a whole number of packets > 1 Accept an equivalent full method |
(£)24.60 or 2460(p) | A1 | If units are given they must be correct If final B0 M0 A0, award SC1 for one of the following answers or equivalent in pence:
|