(a)Rushmoore Energy is a company that supplies electricity. 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
(b) Last year, Rushmoore Energy had 8·58 million customers. 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
(c) Maggie looks at the back of her electricity bill. 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 ☐
(d) 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]
Mark scheme (a)
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
0.05 × 9100 (million)
0.05 × 9 100 000 000
9100 (million) – 0.95 × 9100
9100 000 000 – 0.95 × 9100 000 000
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)
Mark scheme (b)
Scheme
Marks
Comments
370 000
B1
Mark scheme (c)
Scheme
Marks
Comments
Any one of:
\(\dfrac{900 - 828}{900}\) (× 100 = 8%)
0.08 × 900 (=72)
0.92 × 900 (= 828)
100 × 828 ÷ (100 - 8) (= 900)
828 ÷ 900 (×100) (= 0.92 (92%))
M1
Indicates or implies ‘Yes’ AND as appropriate:
(\(\dfrac{(900 - 828)}{900}\) × 100 =) 8%
(900 – 72 =) 828 OR (828 + 72 =) 900
(0.92 × 900 =) 828
(100 × 828 ÷ (100 - 8) =) 900
(100% - 92% =) 8%
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.
Mark scheme (d)
Scheme
Marks
Comments
(Electricity cost is) 828 ×(£)0.18 (£)149.04 or 14904(p)
M1 A1
Accept 828 × 18(p) 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 (£)224.74(2)
M1
A1
FT from ‘their total of electricity and standing charge’ Allow (£)224.75
Corrected by Westie's Workshop
The board's mark scheme printed “(Total bill includ VAT at 5%”. Changed to “(Total bill including VAT at 5%” because the word “including” was cut short.
Original: see the board's mark scheme PDF (link above).
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