Numeracy Higher November 2017 Unit 1 Q4
4. Megan Pugh’s electricity bill is shown below.
It covers the period May, June and July 2017.
Megan Pugh
203 Stryd Bryntor
Maesgwyn
| Period | Previous meter reading | Present meter reading | Number of units of electricity used |
|---|---|---|---|
| May, June and July 2017 | 13450 | 13900 | 450 |
| Charge for electricity: 450 units at 20p per unit | £90.00 |
| Standing charge: 3 months at £7.60 per month | £22.80 |
| Total charges: | £112.80 |
| VAT at 5%: 5% of £112.80 | £5.64 |
Amount to pay: £112.80 + £5.64 = £118.44
(a)
On 1 August 2017, the charge per unit for electricity was increased by 5%.
What is the increased cost per unit of electricity?
Circle your answer. [1]
20.5p 21p 21.5p 22p 22.5p
(b)
In this part of the question you will be assessed on the quality of your organisation, communication and accuracy in writing.
Megan wants to calculate her next 3-monthly electricity bill.
She knows the following:
- Her meter reading on 31 October 2017 was 14400.
- The charge per unit for electricity has increased by 5% since her last bill.
- The standing charge has increased by 20p per month since her last bill.
- VAT remains at 5%.
On 31 October 2017, Megan had £470 in her bank account.
After paying her next 3-monthly electricity bill, will Megan be able to buy a new washing machine costing £330?
You must show all your working. [9 + 2 OCW]
| Scheme | Marks | Comments |
|---|---|---|
| 21p | B1 |
| Scheme | Marks | Comments |
|---|---|---|
| Throughout: if units are given they must be correct, or a consistent FT from 5 charges in (a) | ||
| Number of units of electricity (14400 – 13900 =) 500 (units) | B1 | |
| (Charge for electricity =) 500 × 21p | M1 | FT ‘their 14400 – 13900’, or 14400 – 13450 (= 950) Allow M1 (but A0) for any of, e.g.
(These do not involve a subtraction of units) |
| (£)105 | A1 | Accept 10500p or £105.00p FT provided subtraction of units has been attempted calculation examples:
|
| Standing charge for August, September and October(£)23.4(0) | B1 | CAO |
| Total charges (105 + 23.40 =) (£)128.4(0) | B1 | FT ‘their charge for electricity’ + ‘their standing charge’, provided these amounts are from:
(20.5p) £23.40 + 102.50 = £125.90 (21.5p) £23.40 + 107.50 = £130.90 (22p) £23.40 + 110.00 = £133.40 (22.5p) £23.40 + 112.50 = £135.90 |
| 5% VAT(£)6.42 | B1 | FT provided at least M1 and B1 previously awarded (Possible VAT FT 500 units with consistent use of: 20.5p leads to £6.29, £6.295, £6.30 21.5p leads to £6.54, £6.55, £6.545 22p leads to £6.67 22.5p leads to £6.79, £6.795, or £6.80 |
| Total bill (£)134.82 | B1 | CAO |
| Budget calculation involving at least 2 of the key amounts, i.e. (£)470 – (£)134.82 – (£)330, or (£)470 – (£)134.82, or (£)470 – (£)330, or (£)134.82 + (£)330 | M1 | FT ‘their £134.82’ provided at least 3 marks previously awarded |
| Conclusion from a correctly evaluated calculation, e.g. ‘yes’ ‘able to afford as £335.18 left after paying for electricity’, ‘afford as would be left with £140 after buying the washing machine to pay the electricity bill’, ‘she can buy it and have £5.18 left’, ‘it only costs £464.82, £470 in the bank’ | A1 | FT from M1 for an appropriate conclusion with a correctly evaluated calculation |
| 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 |
| Accuracy of 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. |