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Learn/ O Level Mathematics/ Past Papers/ 2020/ May/June 2020 /Paper 1 (Variant 2)

Paper 1 — Variant 2

O Level Mathematics · 4024/12 · May/June 2020

Question Paper

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Mark Scheme

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Questions

10 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.

3 [2]
Write these numbers in order of size, starting with the smallest. 434^{3} 929^{2} 196\sqrt{196} 1253\sqrt[3]{125}
4
4(a) [1]
Write 68%68\% as a fraction in its lowest terms.
4(b) [1]
A bag contains red balls and blue balls. The balls are in the ratio red:blue=3:5\text{red} : \text{blue} = 3 : 5. Write down the fraction of the balls that are red.
5 [2]
By writing each number correct to one significant figure, estimate the value of 2.78361.4×0.893\frac{2.78^{3}}{61.4 \times 0.893}.
7 [2]
Factorise 15a−5x−2xy+6ay15a - 5x - 2xy + 6ay.
13
13(a) [2]
Write 108 as the product of its prime factors.
13(b) [2]
Find the lowest common multiple (LCM) of 108 and 180.
14
14(a) [1]
In 2017, the population of Egypt was 97500000. Write this population in standard form.
14(b) [2]
The population density of a country is the number of people per square kilometre. In 2017, the population of Indonesia was 2.62×1082.62 \times 10^{8}, correct to 3 significant figures. The area of Indonesia is 2×1062 \times 10^{6} km2\text{km}^{2}, correct to 1 significant figure. Calculate an estimate for the population density of Indonesia.
17
Here are the first four terms of a number sequence. T1=12+3=4T_{1} = 1^{2} + 3 = 4 T2=22+8=12T_{2} = 2^{2} + 8 = 12 T3=32+13=22T_{3} = 3^{2} + 13 = 22 T4=42+18=34T_{4} = 4^{2} + 18 = 34
17(a) [1]
Find T5T_{5}.
17(b) [3]
Find an expression, in terms of nn, for TnT_{n}.
20 [3]
A plan of a house is drawn to a scale of 1:501 : 50. On the plan, the floor area of the kitchen is 3030 cm2\text{cm}^{2}. Calculate the floor area of the real kitchen. Give your answer in square metres.
23 [3]
Express as a single fraction in its simplest form. 52x−1−3x+4\frac{5}{2x - 1} - \frac{3}{x + 4}
24
PP is the point (h,7)(h, 7). PP lies on the line 3y+2x=53y + 2x = 5.
24(a) [2]
Find the value of hh.
24(b) [4]
Line LL is perpendicular to the line 3y+2x=53y + 2x = 5 and passes through PP. Find the equation of line LL.

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