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Learn/ O Level Mathematics/ Past Papers/ 2023/ May/June 2023 /Paper 1 (Variant 2)

Paper 1 — Variant 2

O Level Mathematics · 4024/12 · May/June 2023

Question Paper

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Mark Scheme

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Questions

12 of 24 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. 0.65, 58, 62%, 1120, 0.5950.65, \ \frac{5}{8}, \ 62\%, \ \frac{11}{20}, \ 0.595
4
4(a) [1]
At midday the temperature is 8∘C8^\circ\text{C}. At midnight the temperature is 12∘C12^\circ\text{C} lower. Find the temperature at midnight.
4(b)
Shazia records the temperature, in ∘C^\circ\text{C}, at 6 am every day for one week. 5, 2, −1, −7, −2, 5, −55, \ 2, \ -1, \ -7, \ -2, \ 5, \ -5
4(b)(i) [1]
Find the median.
4(b)(ii) [1]
Find the range.
5 [2]
Maya invests $480\$480 at a rate of 2%2\% per year simple interest. Calculate the total amount of interest she receives at the end of 5 years.
8 [2]
Work out 134+561\frac{3}{4} + \frac{5}{6}. Give your answer as a mixed number in its simplest form.
10 [3]
Solve the simultaneous equations. Show your working. x+2y=7x + 2y = 7 3x+4y=113x + 4y = 11
11 [2]
By writing each number correct to 1 significant figure, estimate the value of 18.230.395\frac{18.2^{3}}{0.395}.
13
13(a) [1]
These are the first four terms of a sequence. 1, 3, 9, 271, \ 3, \ 9, \ 27 Find the next term of the sequence.
13(b) [2]
These are the first five terms of a different sequence. 35, 31, 27, 23, 1935, \ 31, \ 27, \ 23, \ 19 Find an expression, in terms of nn, for the nnth term of this sequence.
14
14(a) [2]
Write 325325 as a product of its prime factors.
14(b) [2]
P=xny2P = x^{n}y^{2} and Q=xn−1y4Q = x^{n-1}y^{4}, where xx and yy are prime. Find the highest common factor (HCF) of PP and QQ. Give your answer in terms of xx, yy and nn.
20
20(a) [2]
Expand and simplify. (4x−y)(2x+5y)(4x - y)(2x + 5y)
20(b) [2]
Simplify. (x128)23\left(\frac{x^{12}}{8}\right)^{\frac{2}{3}}
21 [4]
Solve. 5xx−3=x+4\frac{5x}{x - 3} = x + 4
22 [4]
yy is directly proportional to w2w^{2}. xx is inversely proportional to ww. When w=10w = 10, y=5y = 5 and x=0.4x = 0.4. Find yy in terms of xx. Give your answer in its simplest form.
24 [5]
AA is the point (3,11)(3, 11) and BB is the point (−5,−5)(-5, -5). The equation of line LL is 2y+x=52y + x = 5. Show that line LL is the perpendicular bisector of ABAB.

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