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Learn/ O Level Mathematics/ Past Papers/ 2022/ May/June 2022 /Paper 2 (Variant 2)

Paper 2 — Variant 2

O Level Mathematics · 4024/22 · May/June 2022

Question Paper

PDF · 1.4 MB · 20 pages

Mark Scheme

PDF · 299 KB · 8 pages

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Questions

2 of 10 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.

2
2(a) [2]
A=3p+qA = 3p + q Find qq when A=23A = 23 and p=5p = 5.
2(b) [2]
Expand and simplify 2(2x+5)+3(x−6)2(2x + 5) + 3(x - 6).
2(c) [2]
Solve 5y+3=15y + 3 = 1.
2(d) [2]
Factorise 12r2−8rs12r^{2} - 8rs.
2(e) [1]
Rearrange a=3ba = 3b to make bb the subject.
10
DD is the point (4,6)(4, 6) and EE is the point (e,e)(e, e).
10(a) [5]
The length of DEDE is 20\sqrt{20}. Form an equation in ee and solve it to find the possible coordinates of EE. Show your working.
10(b)
FF is the point (−f,5f)(-f, 5f). The gradient of the perpendicular bisector of DFDF is 32\frac{3}{2}.
10(b)(i) [4]
Find the value of ff.
10(b)(ii) [3]
The equation of the perpendicular bisector of DFDF is 2y=3x+k2y = 3x + k. Find the value of kk.

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