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Learn/ O Level Mathematics/ Past Papers/ 2022/ May/June 2022 /Paper 2 (Variant 1)

Paper 2 — Variant 1

O Level Mathematics · 4024/21 · May/June 2022

Question Paper

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Mark Scheme

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Questions

3 of 11 questions shown here, checked against the paper. The others are in the PDF above — they contain diagrams or maths we could not yet verify, and we would rather show you the original than a transcription we are not sure of.

1
1(a)
In 2020, the running cost for Frederick's car was $5200\$5200. 28%28\% of the running cost was spent on insurance. 325\frac{3}{25} of the running cost was spent on maintenance. $740\$740 of the running cost was spent on tax. The remainder of the running cost was spent on petrol.
1(a)(i) [3]
Calculate the amount Frederick spent on petrol.
1(a)(ii) [2]
In 2021, the tax increased by 1.5%1.5\%. Calculate the tax in 2021.
1(b)
In January, the cost of petrol is $2.20\$2.20 per litre.
1(b)(i) [1]
Find the cost of 38.738.7 litres of petrol.
1(b)(ii) [3]
The average amount of petrol Frederick's car uses is 77 litres per 100100 km. In January, he spends $215.60\$215.60 on petrol. Calculate the number of kilometres he drives in January.
1(b)(iii) [2]
In February, the cost of petrol increases to $2.24\$2.24 per litre. Calculate the percentage increase in the cost of petrol from January to February.
8
8(a)
Apples cost $x\$x per kilogram and oranges cost $y\$y per kilogram. The total cost of 55 kg of apples and 1010 kg of oranges is $40\$40.
8(a)(i) [1]
Show that x+2y=8x + 2y = 8.
8(a)(ii) [4]
The total cost of 44 kg of apples and 33 kg of oranges is $19\$19. Use simultaneous equations to find the cost of 1 kilogram of apples and of 1 kilogram of oranges. Show your working.
8(b) [3]
Solve −8<4(x−3)<7-8 < 4(x-3) < 7.
8(c) [6]
Solve 4x−1+22x+3=1\frac{4}{x-1} + \frac{2}{2x+3} = 1. Show all your working and give your answers correct to 2 decimal places.
11
PP is the point (3,−3)(3, -3) and QQ is the point (1,5)(1, 5).
11(a) [2]
Calculate the length of PQPQ.
11(b) [5]
Find the equation of the perpendicular bisector of PQPQ.

Published by Cambridge Assessment International Education. Reproduced for study use.