Numeracy Foundation November 2024 Unit 2 Q11
11. Steffan uses 654 kWh of electricity in a three-month period.
Electricity costs £0.30 per kWh.
The standing charge for the three-month period is £54.
Steffan has to pay VAT at 5% on the total cost.
Calculate Steffan’s electricity bill.
You must show all your working. [5]
| Scheme | Marks | Comments |
|---|---|---|
| Incorrect unit of money is penalised -1 once only on the first occurrence, by withholding an A or B mark | ||
| (Electricity cost is) 654 × (£)0.30 (£)196.2(0) or 19620(p) | M1 A1 | Accept 654 × 30(p) If units are given they must be correct Accept £196.20p |
| (Cost of electricity and standing charge is £196.20 + 54 =) (£) 250.2(0) | B1 | FT provided 654 used in a calculation for ‘their cost of electricity’ Do not accept if embedded with an incorrect interpretation of the standing charge, e.g. 196.20 + 3 × 54 = (£)358.20 is B0 If previous M0 A0 B0 for (654 × (£)0.30 × 3 =) £588.60 AND (588.60 + 54 × 3 = 588.60 + 162 =) £750.60, award SC1 for this consistent misunderstanding and then FT |
| (Total bill including VAT) 1.05 × 250.2(0) or 250.2(0) + 12.51 | M1 | FT from ‘their derived total of electricity’ + ‘their standing charge’, accept rounding or truncation to a penny Allow M1 A0 for 1.05 × ‘their total rounded or truncated to a whole pound’ |
| (£)262.71 | A1 | If M0 A0 for inclusive of VAT cost, allow SC1 for an answer of (£)262.70, provided not from incorrect working (allow from 250.20 + 12.50) If final B0 M0 A0, award SC1 for the correct evaluation of 1.05 × ‘their derived cost of electricity’ having not considered and omitted the standing charge, or previously subtracted the standing charge from ‘their cost of electricity’ |