Numeracy Intermediate November 2021 Unit 2 Q2
2.
(a)
Mr Khan has received his electricity bill.
However, he has splashed coffee over some of the entries.
Mr Khan
306 Heol Rowe
| Period | Previous meter reading | Present meter reading | Number of units of electricity used |
|---|---|---|---|
| July, August and September 2021 | 34 560 | 35 180 | …………… |
| Charge for electricity: …………… units at 18p per unit | £ …………… |
| Standing charge: 3 months at £6 per month | £18 |
| Total charges: | £ …………… |
| VAT at 5%: | £ …………… |
Amount to pay: £ ……………
Complete Mr Khan’s electricity bill to find the amount he has to pay. [6]
(b)
In this part of the question, you will be assessed on the quality of your organisation, communication and accuracy in writing.
Mr Khan currently has each of the following bills to pay:
- Water bill £234
- Gas bill £120
- Loan repayment £45
If Mr Khan waits until next month to pay these bills, he will pay a month’s interest on each of the bills.
Interest is charged for the month as listed:
- Water 2%
- Gas 2·3%
- Loan 11%
Calculate the total interest Mr Khan will have to pay if he waits until next month to pay these bills.
You must show all your working. [5 + 2 OCW]
| Scheme | Marks | Comments |
|---|---|---|
| Number of units 620 | B1 | |
| Charge for units 620 × (0.)18 | M1 | FT ‘their 620’, including if not a whole number Award for sight of digits 1116(0) |
| (£) 111.6(0) | A1 | Must be in pounds |
| (Standing charge) (£ 18) Total charges (£) 129.6(0) | B1 | FT ‘their 111.6(0)’ + 18 correctly evaluated |
| VAT at 5% (£) 6.48 | B1 | FT 5% of ‘their 129.6(0)’ correctly evaluated, allow rounded or truncated Allow for sight of (£) 136.08 in this box as implying (£) 6.48 |
| Amount to pay (£) 136.08 | B1 | FT provided at least one of the two previous B1 marks has been awarded |
| Scheme | Marks | Comments |
|---|---|---|
| If an evaluation is given with incorrect units, penalise A mark -1 on the first occasion then FT | ||
| Water interest 0.02 × 234 AND Gas interest 0.023 × 120 AND Loan interest 0.11 × 45 | M2 | Or equivalents M1 for any 1 or 2 correct methods |
| Water (£) 4.68 Gas (£) 2.76 Loan (£) 4.95 | A2 | A1 for any 1 or 2 correct evaluations |
| Total interest (£) 12.39 | A1 | Mark final answer, unless clearly stated as total interest FT for the sum of 3 amounts provided 2 of the amounts are correct |
| Organisation and communication | OC1 | For OC1, candidates will be expected to: • present their response in a structured way • explain to the reader what they are doing at each step of their response • lay out their explanations and working in a way that is clear and logical • write a conclusion that draws together their results and explains what their answer means |
| Writing | W1 | For W1, candidates will be expected to: • show all their working • make few, if any, errors in spelling, punctuation and grammar • use correct mathematical form in their working • use appropriate terminology, units, etc. |
Alternative
2(b) Alternative method:
| Scheme | Marks | Comments |
|---|---|---|
| Water payment 1.02 × 234 AND Gas payment 1.023 × 120 AND Loan payment 1.11 × 45 | M2 | Or equivalents M1 for any 1 or 2 correct methods |
| Water (£) 238.68 Gas (£) 122.76 Loan (£) 49.95 | A2 | A1 for any 1 or 2 correct evaluations |
| Total interest (£238.68 + £122.76 + £49.95 - £234 - 120 - 45 =) (£) 12.39 | A1 | (= £411.39 – £399) FT for the sum of 3 amounts – (234 + 120 + 45) provided 2 of these 3 amounts are correct |