Foundation November 2023 Paper 2 Q14
14.
(a)
The amount of electricity and gas used in a home is measured in units.
In the first week of May, the Singh family used 56 units of electricity and 245 units of gas.
The cost per unit of electricity is 32p.
The total cost for the units of electricity and gas the Singh family used in the first week of May was £39.97.
What is the cost of one unit of gas? [4]
(b)
The Singh family are calculating their electricity bill for the 30 days of June.
- They use 210 units of electricity in June.
- The cost per unit of electricity is 32p.
- They pay a fixed charge of 28p per day.
- VAT at 5% is added to the total of these costs.
Calculate the total cost of the Singh family’s electricity bill for June. [5]
| Scheme | Marks | Comments |
|---|---|---|
| 39.97 – 0.32 × 56 ( = 22.05) | M2 | Allow the marks for the equivalent in pence. M1 for 0.32 × 56 ( = 17.92) |
| ÷ 245 | m1 | FT from M2 only |
| = (£) 0.09 or 9 (p) | A1 | CAO. Answer line takes precedence. If units are given, they must be correct. Allow £0.09p but not 0.09p. |
| Scheme | Marks | Comments |
|---|---|---|
| 210 × 0.32 + 30 × 0.28 oe | M2 | Allow the marks for the equivalent in pence. May be seen in stages. M1 for 210 × 0.32 ( = 67.2) or 30 × 0.28 ( = 8.4) |
| = (£)75.6(0) | A1 | CAO |
| (Overall monthly cost including VAT = ) 1.05 × 75.6(0) or 75.6(0) + 0.05 × 75.6(0) oe | M1 | FT ‘their total cost excluding VAT’ |
| = (£) 79.38 | A1 | FT Allow rounded or truncated answers to the nearest penny. |
| (9) |
Alternative
Alternative method
| Scheme | Marks | Comments |
|---|---|---|
| 210 × 0.32 × 1.05 + 30 × 0.28 × 1.05 | M3 | M2 for 210 × 0.32 × 1.05 (= 70.56) or 30 × 0.28 × 1.05 (= 8.82) M1 for 210 × 0.32 ( = 67.2) or 30 × 0.28 ( = 8.4) |
| = (£) 79.38 | A2 | CAO If M2 or M1 awarded, then award A1 for a correct evaluation of ‘their 70.56’ + ‘their 8.82’ provided the calculations 210 × 0.32 AND 30 × 0.28 are embedded in their answer. |