Numeracy Intermediate June 2025 Unit 1 Q2
2. Viktor is a farmer.
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 \(\tfrac{5}{8}\) off |
Which of these two animal feeds is cheaper and by how much? [5]
…………… Sheep Mix is cheaper
It is cheaper by £ ……………
A bag of feed for Viktor’s chickens usually costs £26.
This week, Viktor gets a discount.
The feed will now cost £21.
By what fraction has the chicken feed been discounted?
Circle your answer. [1]
\(\dfrac{21}{26}\) \(\dfrac{26}{21}\) \(\dfrac{5}{21}\) \(\dfrac{5}{26}\) \(\dfrac{26}{5}\)
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.
Capacity is …………… m3
The external measurements of the new water trough are:
length 4·1 m, width 0·6 m and height 0·9 m.
The cost of delivery of the new water trough is calculated using the following formula.
Delivery cost in £ = 5 × (length + width + height)
The length, width and height are the external measurements in metres.
Calculate the delivery cost for the new water trough. [2]
| 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 |
|---|---|---|
| \(\dfrac{5}{26}\) | B1 |
| 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 |
|---|---|---|
| (i) 1.6 (m3) | B2 | Mark final answer B1 for appropriate sight of any one of the following or equivalent, that may be seen or implied in stages:
|
| (ii) (Delivery cost £ =) 5 × (4.1 + 0.6 + 0.9) or 5 × 5.6 or 5 × 5 + 5 × 0.6 | M1 | |
| (£)28(.00) | A1 | Ignore incorrect units given If no marks, award SC1 for an answer of (£)26.5(0) provided it is from use of internal measurements (5 × (4 + 0.5 + 0.8)) |