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

Paper 1 — Variant 1

O Level Mathematics · 4024/11 · May/June 2022

Question Paper

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Mark Scheme

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Questions

11 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.

1
1(a) [1]
Write down the value of the 5 in the number 253624253624.
1(b) [1]
The crowd at a sports event is exactly 3568735687. Write this number correct to the nearest ten.
6
Write down
6(a) [1]
a prime number between 1010 and 1515,
6(b) [1]
an irrational number between 1010 and 1515.
9 [2]
Write these lengths in order of size, starting with the smallest. 3200032000 cm 33003300 mm 3.13.1 km 3434 m
12 [2]
By writing each number correct to 1 significant figure, estimate the value of 0.28×37.477.8\frac{0.28 \times 37.4}{77.8}.
13
13(a)
Expand and simplify.
13(a)(i) [2]
(x+3)(x−4)(x + 3)(x - 4)
13(a)(ii) [2]
5(x+2)−2(2x−1)5(x + 2) - 2(2x - 1)
13(b) [2]
Write as a single fraction in its simplest form. 4b3+5b9\frac{4b}{3} + \frac{5b}{9}
15
15(a) [1]
Evaluate 7−3÷7−47^{-3} \div 7^{-4}.
15(b) [1]
Find the value of kk when (36)k=32(3^{6})^{k} = 3^{2}.
15(c) [2]
Simplify 3(22×33×54)23(2^{2} \times 3^{3} \times 5^{4})^{2}. Give your answer in the form 2a×3b×5c2^{a} \times 3^{b} \times 5^{c}.
17 [2]
The scale of a map is 22 cm to 11 km. The area of a wood on the map is 66 cm2\text{cm}^{2}. Calculate the actual area of the wood in km2\text{km}^{2}.
20
f(x)=6x+25f(x) = \frac{6x + 2}{5}
20(a) [1]
Find f(3)f(3).
20(b) [3]
Find f−1(x)f^{-1}(x).
21 [2]
yy is inversely proportional to (x+1)2(x + 1)^{2}. Given that y=2y = 2 when x=3x = 3, find yy when x=9x = 9.
23 [4]
y=3x+22x−1y = \frac{3x + 2}{2x - 1} Rearrange the formula to make xx the subject.
24 [3]
M=(1043)\mathbf{M} = \begin{pmatrix} 1 & 0 \\ 4 & 3 \end{pmatrix} N=(k014)\mathbf{N} = \begin{pmatrix} k & 0 \\ 1 & 4 \end{pmatrix} Given that MN=NM\mathbf{MN} = \mathbf{NM}, find the value of kk.

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