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

Paper 1 — Variant 2

O Level Mathematics · 4024/12 · May/June 2022

Question Paper

PDF · 1.4 MB · 16 pages

Mark Scheme

PDF · 414 KB · 7 pages

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Questions

7 of 25 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.

4
4(a) [1]
The temperature inside Luke's house is 1818 °C. The temperature outside his house is −3-3 °C. Find the difference between these temperatures.
4(b) [1]
Luke's thermometer measures the temperature correct to the nearest degree. At midnight, the thermometer measures the temperature outside as −6-6 °C. Find the upper bound of the temperature outside at midnight.
6 [2]
Kabir invests $250\$250 in a savings account. The account pays simple interest at a rate of 1.5%1.5\% per year. Calculate the total amount of interest he will receive at the end of 44 years.
10 [3]
A bag contains red balls, blue balls and green balls. The ratio red : blue =3:8= 3 : 8. The ratio green : blue =2:5= 2 : 5. Work out the fraction of the balls that are blue.
12
12(a) [1]
Write 0.002 035 610.002\ 035\ 61 correct to 33 significant figures.
12(b) [2]
By writing each number correct to 11 significant figure, estimate the value of 3.93×63.70.425\frac{\sqrt{3.93} \times 63.7}{0.425}.
13
13(a) [2]
Evaluate (9×643)2(\sqrt{9} \times \sqrt[3]{64})^{2}.
13(b) [1]
Write down an irrational value of nn that satisfies this inequality. 4.5⩽n⩽5.54.5 \leqslant n \leqslant 5.5
15 [2]
yy is directly proportional to (x−1)2(x-1)^{2}. When x=5x = 5, y=32y = 32. Find the value of yy when x=−2x = -2.
18 [2]
f(x)=3x−7f(x) = 3x - 7 Find f−1(x)f^{-1}(x).

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