Numeracy Intermediate November 2024 Unit 1 Q3
3.
Charlton Garden Centre sells plant pots and saucers.
Plant pot 40p Saucer 25p
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]
In this part of the question, you will be assessed on the quality of your organisation, communication and accuracy in writing.
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 + 2 OCW]
How many seeds are there in 10 kg?
Circle your answer. [1]
1050 10 500 105 000 1 050 000 10 500 000
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 |
|---|---|---|
| (i) (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:
|
| (i) Organisation and communication | OC1 | For OC1, candidates will be expected to:
|
| Writing | W1 | For W1, candidates will be expected to:
|
| (ii) 1 050 000 | B1 |