FDPR Mixed Context: WJEC GCSE Numeracy Foundation November 2021 Unit 2 Q5

Numeracy Foundation November 2021 Unit 2 Q5

WJECFoundationCurrent spec11 marksFDPR Mixed Context Percentages

(a) Mr Khan has received his electricity bill.
However, he has splashed coffee over some of the entries.

Electricity bill for Mr Khan, 306 Heol Rowe. Period: July, August and September 2021; previous meter reading 34 560; present meter reading 35 180; number of units of electricity used: covered by a coffee splash. Charge for electricity: (splash) units at 18p per unit, £ (splash). Standing charge: 3 months at £6 per month, £18. Total charges: £ (splash). VAT at 5%: £ (splash). Amount to pay: £ (splash)

Complete Mr Khan’s electricity bill to find the amount he has to pay. [6]

(b) 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]

Mark scheme (a)

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

Mark scheme (b)

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

Alternative

The alternative method is printed in italics in the mark scheme.

5.(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