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Learn/ O Level Mathematics/ Past Papers/ 2023/ May/June 2023 /Paper 1 (Variant 1)

Paper 1 — Variant 1

O Level Mathematics · 4024/11 · May/June 2023

Question Paper

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Mark Scheme

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Questions

17 of 27 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.

2
2(a) [1]
Write down the fraction of this 3×33 \times 3 square that is shaded.
2(b) [1]
Evaluate 0.520.5^{2}.
4
4(a)
Benjamin's age is tt years.
4(a)(i) [1]
Maryam is 55 years younger than Benjamin. Write an expression for Maryam's age in terms of tt.
4(a)(ii) [1]
Colin's age is twice Benjamin's age. Write an expression for Colin's age in terms of tt.
4(b) [1]
Given that a=3a = 3 and b=−2b = -2, evaluate 5a−2b5a - 2b.
5
5(a) [1]
Insert one set of brackets to make the calculation correct. 3+5×2−7=93 + 5 \times 2 - 7 = 9
5(b) [1]
Insert ++, −- and ×\times to make the calculation correct. 33 55 22 77 =20= 20
7
7(a) [1]
Here are five temperatures in °C. −18-18 −21-21 −2-2 1717 −10-10 Write these temperatures in order from coldest to hottest.
7(b) [1]
Work out the temperature that is 55 °C colder than −18-18 °C.
8
A rope is cut into three pieces with lengths in the ratio 3:5:43 : 5 : 4. The length of the shortest piece of rope is 180180 cm.
8(a) [2]
Find the length, in cm, of the longest piece of rope.
8(b) [2]
Find the total length of rope. Give your answer in metres.
10
10(a) [2]
Work out 113×891\frac{1}{3} \times \frac{8}{9}. Give your answer as a mixed number in its simplest form.
10(b) [2]
Kate has a bunch of grapes. She ate 14\frac{1}{4} of the grapes in the morning. She ate 23\frac{2}{3} of the grapes in the afternoon. Work out the fraction of the grapes that she has not eaten.
11 [2]
Solve the inequality x−5>3x+7x - 5 > 3x + 7.
12
12(a) [1]
Ali keeps a record of the computer games he plays. Out of the first 66 games, Ali wins 44. Out of the first 2020 games, Ali wins 1313. Use these results to find the best estimate for the probability that Ali will not win the next computer game he plays.
12(b) [2]
A spinner is spun nn times. The spinner lands on red 1414 times. The relative frequency of the spinner landing on red is 0.20.2. Find the value of nn.
13
13(a) [1]
The bearing of Mingfield from Lenton is 156∘156^{\circ}. Calculate the bearing of Lenton from Mingfield.
13(b) [2]
On a map, the distance between Lenton and Mingfield is 4.54.5 cm. The actual distance between Lenton and Mingfield is 99 km. Find the scale of the map in the form 1:n1 : n.
14
Expand and simplify.
14(a) [2]
5(3x−2)−3(2x−3)5(3x - 2) - 3(2x - 3)
14(b) [2]
(2x+3)(x−7)(2x + 3)(x - 7)
15 [2]
These are the first four terms of a sequence. 11 77 1313 1919 Find an expression, in terms of nn, for the nnth term of this sequence.
17 [2]
The mass of the planet Saturn is 5.7×10265.7 \times 10^{26} kg. The mass of the planet Venus is 4.9×10244.9 \times 10^{24} kg. Calculate the difference in mass between Saturn and Venus. Give your answer in standard form.
18 [3]
y=x+23y = \sqrt{\frac{x + 2}{3}} Rearrange the formula to make xx the subject.
20 [2]
f(x)=10+7xf(x) = 10 + 7x Find f−1(x)f^{-1}(x).
22
Factorise.
22(a) [2]
7y+2xy−6x−217y + 2xy - 6x - 21
22(b) [2]
3a2−12b23a^{2} - 12b^{2}
23
The attendance at a cricket match is 3600036000 correct to the nearest thousand.
23(a) [1]
Write down the minimum number of people at the cricket match.
23(b) [3]
The number of males attending the match is 2100021000 correct to the nearest five hundred. Find the maximum number of females that could be attending the cricket match.
26
AA is the point (−2,3)(-2, 3) and BB is the point (4,7)(4, 7).
26(a) [1]
Find the coordinates of the midpoint of ABAB.
26(b) [4]
Line ll is the locus of points that are equidistant from AA and BB. Find the equation of line ll.

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