4024/21 May/Jun 2022, Question 1: Calculating a Percentage of a Quantity
Cambridge O Level Mathematics 4024 · Paper 21 (Calculator) · Calculator · 11 marks
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The question, in short
Using Frederick's 2020 running cost of $5200 with insurance, maintenance and tax given, find petrol cost and 2021 tax; then petrol cost, distance and percentage price increase.
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Part (ai) · 3 marks
Calculate the amount spent on petrol after subtracting insurance, maintenance and tax from $5200.
- 1Insurance = 28/100 × 5200 = $1456
- 2Maintenance = 3/25 × 5200 = $624
- 3Petrol = 5200 − 1456 − 624 − 740
- 4= $2380
Answer2380
Part (aii) · 2 marks
Calculate the 2021 tax after a 1.5% increase on $740.
- 1Increase = 1.5/100 × 740 = $11.10
- 2Tax in 2021 = 740 + 11.10 = $751.10
Answer751.10
Part (bi) · 1 mark
Find the cost of 38.7 litres of petrol at $2.20 per litre.
- 138.7 × 2.20 = $85.14
Answer85.14
Part (bii) · 3 marks
Using 7 litres per 100 km and $215.60 spent at $2.20 per litre, calculate kilometres driven.
- 1Litres bought = 215.60 ÷ 2.20 = 98 litres
- 2Distance = 98/7 × 100
- 3= 1400 km
Answer1400
Part (biii) · 2 marks
Calculate the percentage increase in petrol cost from $2.20 to $2.24 per litre.
- 1Increase = 2.24 − 2.20 = $0.04
- 2Percentage increase = 0.04/2.20 × 100
- 3= 1.818… ≈ 1.82%
Answer1.82 or 1.818…
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