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Learn/ O Level Mathematics/ Past Papers/ 2021/ May/June 2021 /Paper 1 (Variant 2)

Paper 1 — Variant 2

O Level Mathematics · 4024/12 · May/June 2021

Question Paper

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Mark Scheme

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Questions

13 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 0.450.45 as a fraction in its lowest terms.
1(b) [1]
Write these fractions in order of size, starting with the smallest. 45\frac{4}{5} 710\frac{7}{10} 1720\frac{17}{20}
4
4(a) [1]
Write 64 785 49164\,785\,491 correct to the nearest million.
4(b) [2]
By writing each number correct to 1 significant figure, estimate the value of 67.8+49.50.1872\frac{67.8 + 49.5}{0.187^{2}}.
5
5(a) [2]
Omar and Jamil share $540\$540 in the ratio 7:27 : 2. Work out Omar's share.
5(b) [1]
Increase 4040 in the ratio 5:85 : 8.
6 [3]
The base of a cuboid is a square with side length 44 cm. The volume of the cuboid is 4848 cm3\text{cm}^{3}. On the grid, complete the accurate drawing of the net of the cuboid. The base is drawn for you.
10
10(a) [2]
Write 270270 as the product of its prime factors.
10(b) [2]
Find the highest common factor (HCF) of 270270 and 225225.
11 [4]
Solve the simultaneous equations. Show your working. 5x+2y=75x + 2y = 7 2x−3y=182x - 3y = 18
13
13(a) [1]
Write 0.000 0530.000\,053 in standard form.
13(b) [2]
Evaluate (1.5×1014)×(8×106)(1.5 \times 10^{14}) \times (8 \times 10^{6}). Give your answer in standard form.
14
14(a) [1]
The length of a path is measured as 6262 m, correct to the nearest metre. Write down the upper bound for the length of the path.
14(b) [2]
The mass of a bag of peanuts is 8080 g, correct to the nearest 10 grams. Calculate the lower bound for the mass of 55 of these bags of peanuts.
17 [2]
In a sale, the price of a coat is reduced by 25%25\%. The sale price is $120\$120. Calculate the price of the coat before the sale.
20 [4]
Here are the first four terms of a sequence. 1216\frac{12}{16} 1725\frac{17}{25} 2236\frac{22}{36} 2749\frac{27}{49} Find an expression for the nnth term of the sequence.
21
21(a) [2]
Write x2+10x+6x^{2} + 10x + 6 in the form (x+a)2+b(x+a)^{2} + b.
21(b) [1]
Use your answer to part (a) to solve x2+10x+6=0x^{2} + 10x + 6 = 0. Give your answer in the form p±qp \pm \sqrt{q}.
22 [3]
Express as a single fraction in its simplest form. 3x−7+2x+5\frac{3}{x-7} + \frac{2}{x+5}
25 [3]
The algebraic fraction 2x2−5x+ax2−16\frac{2x^{2} - 5x + a}{x^{2} - 16} can be simplified to give 2x+bx+4\frac{2x+b}{x+4}. Find the value of aa and the value of bb.

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