Numeracy Intermediate November 2018 Unit 2 Q4
4.
Last year, Rushmoore Energy displayed the following information in a pie chart.

The pie chart represents a total of £9100 million.
How much profit did Rushmoore Energy make last year?
Give your answer in millions of pounds. [3]
Profit £ …………… million
The previous year, Rushmoore Energy had 8·21 million customers.
How many extra customers were there last year?
Circle your answer. [1]
37 000 370 000 3 700 000 0·37 37 000 000
It shows how much energy she used last period and this period.
This is the display she sees.

Is this decrease of 8% correct for the reduction in kWh?
You must show all your working to support your answer. [2]
Yes ☐ No ☐ Can’t tell ☐
In this part of the question, you will be assessed on the quality of your organisation, communication and accuracy in writing.
Maggie used 828 kWh of electricity this period.
Electricity was charged at £0.18 per kWh.
The standing charge for this period was £65.
VAT at 5% is payable on the total cost of the electricity used and the standing charge.
Calculate Maggie’s electricity bill.
You must show all your working. [5 + 2 OCW]
| Scheme | Marks | Comments |
|---|---|---|
| Profit: sight of 5% or 18/360 or 1/20 or 0.05 | B1 | Allow for sight of 16/360 to 20/360 |
Any of the following methods, or equivalent
| M1 | Award of M1 implies previous B1 FT ‘their 100-50-25-10-5-5’ or use of 16/360 to 20/360 Allow embedded ‘5%’ within a repeated subtraction from 9100 million Allow place value error from misinterpretation of million, i.e. 0.05 × 9100(0....) Do not allow for 5% of 9100 (million) or equivalent seen without convincing working or an answer implying ‘×’ has been used |
| (£) 455 (million) | A1 | CAO mark final answer, this being the answer line if completed Allow for (£) 455 000 000 (including in the answer space) |
| Scheme | Marks | Comments |
|---|---|---|
| 370 000 | B1 |
| Scheme | Marks | Comments |
|---|---|---|
Any one of:
| M1 | |
Indicates or implies ‘Yes’ AND as appropriate:
| A1 | A correct evaluation of an appropriate calculation implies ‘Yes’ irrespective of the box ticked Match ‘A’ mark to corresponding ‘M’ mark, i.e. 1st bullet points match, 2nd bullet points match, etc. |
| Scheme | Marks | Comments |
|---|---|---|
| (Electricity cost is) 828 ×(£)0.18 | M1 | Accept 828 × 18(p) |
| (£)149.04 or 14904(p) | A1 | If units are given they must be correct Accept £149.04p |
| (Cost of electricity and standing charge is £149.04 + 65 =) (£) 214.04 | B1 | FT provided 828 used in a calculation for ‘their cost of electricity’ |
| (Total bill including VAT at 5% (£10.70(2)) 1.05 × 214.04 or equivalent | M1 | FT from ‘their total of electricity and standing charge’ |
| (£)224.74(2) | A1 | Allow (£)224.75 |
| 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. |