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Learn/ O Level Mathematics/ Past Papers/ 2024/ May/June 2024 /Paper 2 (Variant 2)

Paper 2 — Variant 2

O Level Mathematics · 4024/22 · May/June 2024

Question Paper

PDF · 1.3 MB · 20 pages

Mark Scheme

PDF · 293 KB · 11 pages

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Questions

3 of 11 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
3(a) [2]
The exchange rate between dollars ($\$) and Malaysian Ringgits (MYR) is $1=4.19\$1 = 4.19 MYR. The exchange rate between dollars ($\$) and Pakistani Rupees (PKR) is $1=179.12\$1 = 179.12 PKR. Find the exchange rate between Malaysian Ringgits and Pakistani Rupees.
3(b) [4]
Farhad invests $1500\$1500 in an account paying compound interest at a rate of 4%4\% per year. Gulsan invests $1500\$1500 in an account paying simple interest at a rate of x%x\% per year. Farhad and Gulsan have the same amount of money in their accounts at the end of 22 years. Calculate the value of xx.
7
7(a) [1]
Solve x3=7\frac{x}{3} = 7.
7(b) [2]
Solve 6x−5=2(x+3)6x - 5 = 2(x + 3).
7(c) [2]
Factorise 3x2−2x−83x^{2} - 2x - 8.
7(d) [3]
(ax+b)2=4x2−12x+c(ax + b)^{2} = 4x^{2} - 12x + c Given that a>0a > 0, find the value of each of aa, bb and cc.
11
QQ is the point (n,−4)(n, -4), RR is the point (−1,8)(-1, 8) and SS is the point (3,2)(3, 2).
11(a) [3]
The length QRQR is 1313 units. Find the two possible values of nn.
11(b) [2]
RSTRST is a straight line and RS:RT=2:5RS : RT = 2 : 5. Find the coordinates of TT.
11(c) [5]
Find the equation of the perpendicular bisector of RSRS.

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