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Learn/ O Level Mathematics/ Past Papers/ 2022/ Oct/Nov 2022 /Paper 1 (Variant 2)

Paper 1 — Variant 2

O Level Mathematics · 4024/12 · Oct/Nov 2022

Question Paper

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Mark Scheme

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Questions

11 of 26 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) [1]
Work out 80÷0.0280 \div 0.02.
1(b) [1]
Evaluate 10003\sqrt[3]{1000}.
2
2(a) [1]
Put one pair of brackets into this calculation to make it correct. 4+4×4−4=44 + 4 \times 4 - 4 = 4
2(b) [1]
Work out −6×(−3+7)-6 \times (-3 + 7).
3 [1]
Write 7.54×10−47.54 \times 10^{-4} as an ordinary number.
9 [2]
By writing each number correct to 1 significant figure, estimate the value of 47.5+36.164.9÷17.7\frac{47.5 + 36.1}{64.9 \div 17.7}.
10
10(a) [2]
Write 420420 as the product of its prime factors.
10(b) [1]
Given that 1512=23×33×71512 = 2^{3} \times 3^{3} \times 7, find the highest common factor of 420420 and 15121512.
13 [3]
Sophie cycles 26002600 metres in 1212 minutes. Work out Sophie's average speed in kilometres per hour.
17
17(a) [1]
Simplify. (x2)3(x^{2})^{3}
17(b) [1]
t−2=9t^{-2} = 9 Find the value of tt.
17(c) [1]
5×50=5k\sqrt{5} \times 5^{0} = 5^{k} Find the value of kk.
18 [2]
xx is directly proportional to the square of (y+1)(y + 1). When y=2y = 2, x=45x = 45. Find xx when y=4y = 4.
19 [4]
Solve. 3x−16+x+24=53\frac{3x - 1}{6} + \frac{x + 2}{4} = \frac{5}{3}
21
f(x)=1+3x2\mathrm{f}(x) = 1 + \frac{3x}{2} g(x)=21−x\mathrm{g}(x) = \frac{2}{1 - x}
21(a) [3]
Find f−1(x)\mathrm{f}^{-1}(x).
21(b) [3]
Solve g(x)=f(−4)\mathrm{g}(x) = \mathrm{f}(-4).
22
Factorise.
22(a) [1]
9p2−q29p^{2} - q^{2}
22(b) [2]
ac−3bc+a−3bac - 3bc + a - 3b

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