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Learn/ O Level Mathematics/ Past Papers/ 2023/ Oct/Nov 2023 /Paper 1 (Variant 1)

Paper 1 — Variant 1

O Level Mathematics · 4024/11 · Oct/Nov 2023

Question Paper

PDF · 1.2 MB · 16 pages

Mark Scheme

PDF · 284 KB · 7 pages

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Questions

13 of 24 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 6+4÷26 + 4 \div 2.
1(b) [1]
Work out 40×0.340 \times 0.3.
2 [2]
Write these numbers in order of size, starting with the smallest. 15\frac{1}{5} 325\frac{3}{25} 13%13\% 0.10.1
3
3(a) [1]
Work out the temperature that is 20 degrees higher than −12∘C-12^{\circ}\text{C}.
3(b) [1]
Work out the difference between −4∘C-4^{\circ}\text{C} and 10∘C10^{\circ}\text{C}.
4 [2]
Kasia buys 12 apples. Each apple costs 65 cents. Work out how much Kasia pays. Give your answer in dollars.
7 [2]
By writing each number correct to 1 significant figure, estimate the value of 53.72.61+7.48\frac{53.7}{2.61 + 7.48}.
8
8(a) [1]
Convert 7878 mm to cm.
8(b) [1]
Convert 33 m2\text{m}^{2} to cm2\text{cm}^{2}.
10
10(a) [2]
Four exterior angles of a pentagon are 150∘150^{\circ}, 100∘100^{\circ}, 45∘45^{\circ} and 35∘35^{\circ}. Calculate the size of the remaining exterior angle.
10(b) [2]
Calculate the interior angle of a regular decagon.
11
11(a) [1]
Evaluate 42+2734^{2} + \sqrt[3]{27}.
11(b) [2]
Evaluate 5−1×535^{-1} \times 5^{3}.
13 [2]
Work out 135÷1231\frac{3}{5} \div 1\frac{2}{3}.
14
14(a) [2]
Write 3636 as a product of its prime factors.
14(b) [3]
Bus AA leaves the bus station every 36 minutes. Bus BB leaves the bus station every 48 minutes. The two buses both leave the bus station at 0930. Find the next time when the two buses leave the bus station together.
17 [2]
yy is directly proportional to the square root of xx. When x=16x = 16, y=2y = 2. Find yy when x=25x = 25.
22
f(x)=x4+3f(x) = \frac{x}{4} + 3 g(x)=2(x−1)g(x) = 2(x - 1)
22(a) [1]
Find f(−8)f(-8).
22(b) [2]
Find f−1(x)f^{-1}(x).
22(c) [3]
f(p)=g(p+5)f(p) = g(p + 5) Find the value of pp.
24 [4]
Solve 3xx+1−2x−1=3\frac{3x}{x+1} - \frac{2}{x-1} = 3.

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