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Learn/ O Level Mathematics/ Past Papers/ 2024/ May/June 2024 /Paper 2 (Variant 1)

Paper 2 — Variant 1

O Level Mathematics · 4024/21 · May/June 2024

Question Paper

PDF · 2.7 MB · 20 pages

Mark Scheme

PDF · 262 KB · 9 pages

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Questions

2 of 11 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]
Two of the factors of 5050 are square numbers. One of these square numbers is 11. Find the other square number that is a factor of 5050.
4(b)
A=2x−1×32y×7A = 2^{x-1} \times 3^{2y} \times 7 B=2x+3×3y×5B = 2^{x+3} \times 3^{y} \times 5 The numbers AA and BB are written as the product of their prime factors, where xx and yy are positive integers.
4(b)(i) [2]
Find the highest common factor (HCF) of AA and BB in terms of xx and yy.
4(b)(ii) [2]
Find the lowest common multiple (LCM) of AA and BB in terms of xx and yy.
5
5(a) [2]
Two companies move boxes. Company AA charges $0.50\$0.50 for each box plus a fixed fee of $125\$125. Company BB charges only a fixed fee of $350\$350. Find the number of boxes moved when Company AA charges the same as Company BB.
5(b) [2]
The maximum mass a van can carry is exactly 770770 kg. The van carries boxes each of mass 44 kg, correct to the nearest kilogram. Find the upper bound for the number of boxes this van can carry.
5(c) [3]
A lorry contains boxes of three sizes SS, MM and LL. The ratio of the number of boxes S:M=2:7S : M = 2 : 7. The ratio of the number of boxes S:L=5:4S : L = 5 : 4. The lorry contains 7272 boxes of size LL. Find the total number of boxes in the lorry.

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