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Learn/ O Level Mathematics/ Past Papers/ 2022/ Oct/Nov 2022 /Paper 1 (Variant 1)

Paper 1 — Variant 1

O Level Mathematics · 4024/11 · Oct/Nov 2022

Question Paper

PDF · 1.4 MB · 20 pages

Mark Scheme

PDF · 301 KB · 7 pages

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Questions

5 of 23 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 fractions in order of size, starting with the smallest. 1112\frac{11}{12} 45\frac{4}{5} 2730\frac{27}{30} 1315\frac{13}{15}
8 [2]
Factorise 3a2+12a3a^{2} + 12a.
11
11(a) [2]
Write 120120 as a product of its prime factors.
11(b) [1]
315=32×5×7315 = 3^{2} \times 5 \times 7 Use this information to find the smallest integer value of nn, such that 315n315n is a square number.
12
Expand and simplify.
12(a) [2]
3(2x+1)−2(4x+3)3(2x + 1) - 2(4x + 3)
12(b) [2]
(x+5)(x−3)(x + 5)(x - 3)
13
13(a) [2]
The nnth term of a sequence is 3n2−13n^{2} - 1. Find the first three terms of the sequence.
13(b) [2]
These are the first five terms of a different sequence. 11 33 99 2727 8181 Find an expression, in terms of nn, for the nnth term of this sequence.

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