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Learn/ O Level Mathematics/ Past Papers/ 2020/ Oct/Nov 2020 /Paper 1 (Variant 1)

Paper 1 — Variant 1

O Level Mathematics · 4024/11 · Oct/Nov 2020

Question Paper

PDF · 1.4 MB · 20 pages

Mark Scheme

PDF · 282 KB · 7 pages

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Questions

7 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]
Evaluate 47−13\frac{4}{7} - \frac{1}{3}.
1(b) [1]
Evaluate 2−1.2×0.32 - 1.2 \times 0.3.
3
3(a) [2]
Solve the equation 9−5x=2x−129 - 5x = 2x - 12.
3(b) [2]
Simplify 16+2y−3(3−y)16 + 2y - 3(3 - y).
4
4(a) [1]
Write the number 3456.7893456.789 correct to the nearest 100.
4(b) [1]
Evaluate 160000\sqrt{160000}.
4(c) [1]
Evaluate 1−3−11 - 3^{-1}.
5 [2]
yy is directly proportional to the cube of xx. When x=2x = 2, y=4y = 4. Find yy when x=3x = 3.
8 [2]
By writing each number correct to 1 significant figure, estimate the value of 6013×0.04058.986\frac{6013 \times 0.0405}{\sqrt{8.986}}.
21 [3]
Line LL is perpendicular to the line y=−12x+3y = -\frac{1}{2}x + 3. Line LL passes through the point (8,9)(8, 9). Find the equation of line LL.
24
24(a) [1]
Express 9999 as the product of prime factors.
24(b)
Expressed as the product of prime factors, p=2n+2×3n×5p = 2^{n+2} \times 3^{n} \times 5 and q=2n×3n+1×52q = 2^{n} \times 3^{n+1} \times 5^{2} where nn is a positive integer.
24(b)(i) [2]
The lowest common multiple (LCM) of pp and qq is 2n×3n×R2^{n} \times 3^{n} \times R. Express RR as the product of prime factors.
24(b)(ii) [2]
Express p+qp + q as the product of prime factors.

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