Numeracy Intermediate November 2017 Unit 1 Q11
11. Megan Pugh’s electricity bill is shown below.
It covers the period May, June and July 2017.
Megan Pugh
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]
What is the increased cost per unit of electricity?
Circle your answer. [1]
20.5p 21p 21.5p 22p 22.5p
(b) Megan wants to calculate her next 3-monthly electricity bill.
She knows the following:
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]
| 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 × 21(p) | 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 |