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Learn/ O Level Mathematics/ Past Papers/ 2021/ Oct/Nov 2021 /Paper 1 (Variant 2)

Paper 1 — Variant 2

O Level Mathematics · 4024/12 · Oct/Nov 2021

Question Paper

PDF · 1.4 MB · 20 pages

Mark Scheme

PDF · 333 KB · 7 pages

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Questions

14 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 4900\sqrt{4900}.
1(b) [1]
Evaluate 535^{3}.
2 [1]
Work out −8+7×(−5)-8 + 7 \times (-5).
3 [1]
Shade one more small triangle so that the shape has rotational symmetry of order 3.
4 [3]
Write down the name of the solid formed from each net.
7 [2]
By writing each number correct to 1 significant figure, estimate the value of 8230×0.6418.7\frac{8230 \times 0.64}{18.7}.
8
8(a) [1]
Write 0.060.06 km in metres.
8(b) [1]
Convert 77 m2\text{m}^{2} to cm2\text{cm}^{2}.
9
9(a) [2]
Write 216216 as a product of its prime factors.
9(b) [2]
Two positive integers are each greater than 2525. Their lowest common multiple (LCM) is 216216. Their highest common factor (HCF) is 1818. Find the two integers.
13 [3]
The mean of five numbers is 1717. The numbers are listed in order of size, starting with the smallest. The three smallest numbers are equal. The middle three numbers add to 3535. The largest number is four times the smallest number. List the five numbers in order of size.
15 [2]
During one year the value of a bicycle decreased from $200\$200 to $160\$160. Calculate the percentage decrease in the value of the bicycle.
16 [2]
Solve the inequality. 23+2n>5−6n23 + 2n > 5 - 6n
17 [2]
Factorise. 3xy−qy+6px−2pq3xy - qy + 6px - 2pq
20 [2]
Find. (3−212)−1\begin{pmatrix} 3 & -2 \\ 1 & 2 \end{pmatrix}^{-1}
22
22(a) [2]
Solve. 27k=927^{k} = 9
22(b) [2]
Simplify. (16x8)−14(\frac{16}{x^{8}})^{-\frac{1}{4}}
23 [3]
yy is inversely proportional to (x+1)2(x + 1)^{2}. When x=1x = 1, y=5y = 5. Find yy when x=9x = 9.

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