Numeracy Foundation June 2025 Unit 1 Q6
6. Viktor is a farmer.
Viktor wants to buy some animal feed for his sheep.
He can either buy a bag of Sean Sheep Mix or a bag of Rugged Sheep Mix.
| Sean Sheep Mix (20 kg bag) Was £14 Now 15% off | Rugged Sheep Mix (20 kg bag) Was £24 Now \(\dfrac{5}{8}\) off |
Which of these two animal feeds is cheaper and by how much? [5]
…………… Sheep Mix is cheaper
It is cheaper by £ ……………
Viktor sells butter and ice cream in his farm shop.
He sells his butter in 250 g packets. Each packet costs £3.25.
Sioned buys 500 g of butter and 1·5 litres of ice cream.
She pays a total of £18.50 for the butter and the ice cream.
Calculate the cost of 1 litre of ice cream. [4]
1 litre of ice cream costs £ ……………
Viktor orders a new water trough for his cows.
It is in the shape of a cuboid.
The internal measurements are:
length 4 m, width 0·5 m and height 0·8 m.
Calculate the capacity of the new water trough in m\(^3\). [2]
Capacity is …………… m\(^3\)
| Scheme | Marks | Comments |
|---|---|---|
| (Sean Sheep Mix) (£)11.9(0) | B2 | For B2, if units are given they need to be correct Award B1 for any one of the following or equivalent:
|
| (Rugged Sheep Mix) (£)9 | B2 | For B2, if units are given they need to be correct Award B1 for any one of the following or equivalent:
|
| Conclusion ‘Rugged (Sheep Mix)’ (by) (£)2.9(0) | B1 | Answer spaces take precedence FT provided at least B1(Sean) and B1 (Rugged) previously awarded for appropriate conclusion from a comparison and the correct evaluation of the difference in ‘their derived sheep mix costs’, including £15 – £2.10 = (£)12.9(0) with Sean (Sheep Mix) |
| Scheme | Marks | Comments |
|---|---|---|
| (Cost of 1.5 litres ice cream =) 18.50 – 2 × 3.25 | M1 | (= 18.50 – 6.50) Allow 18.50 – 3.25 – 3.25 provided not contradicted in further working |
| (£)12 | A1 | Allow an embedded 12, e.g. 6.50 + 12 = 18.50, provided not contradicted in further working |
| (Cost of 1 litre ice cream =) (12 ÷ 3) × 2 or 12 ÷ 1.5 | M1 | FT provided 6.50 ≤ ‘their cost of 1.5 litres ice cream’ ≤ 18.50 May be shown in stages |
| (£)8 | A1 | Answer space takes precedence FT provided ‘their cost of 1.5 litres ice cream’ derived from a calculation involving 18.50 – (2 ×) 3.25 On FT allow rounding or truncation If M1A1M0A0, award SC1 for (0.5 litres is) (£)4 provided not from incorrect working or appropriate sight of 12 ÷ 3 = (£)4 or 4 + 4 + 4 = (£)12, or equivalent on FT, allowing actual values, truncation or rounding to a penny |
| Scheme | Marks | Comments |
|---|---|---|
| 1.6 (m\(^3\)) | B2 | Mark final answer B1 for appropriate sight of any one of the following or equivalent, that may be seen or implied in stages:
|