Paper 1 — Variant 2

O Level Mathematics · 4024/12 · May/June 2024

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Questions

7 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.

3 [3]
Olga writes a list of five numbers. The median of the numbers is 1212. The mode of the numbers is 1111. The range of the numbers is 1010. The sum of the numbers is 7575. Find the five numbers in Olga's list.
9
There are red pens, blue pens and black pens in a box. There are xx red pens. The number of blue pens is 55 more than the number of red pens. The number of black pens is 22 times the number of blue pens.
9(a) [2]
Write an expression, in terms of xx, for the total number of pens in the box. Give your expression in its simplest form.
9(b) [2]
The total number of pens in the box is 2727. Find the number of red pens in the box.
11 [2]
By writing each number correct to 1 significant figure, estimate the value of 5.32+3.97878\frac{5.32 + 3.97}{\sqrt{878}}.
12
12(a) [1]
a=5b+7a = 5b + 7 Find the value of aa when b=−2b = -2.
12(b) [2]
c=4d−9c = 4d - 9 Rearrange the formula to make dd the subject.
14
14(a) [1]
Write 4200000042 000 000 in standard form.
14(b) [2]
Evaluate (1.3×10−4)+(7.4×10−3)(1.3 \times 10^{-4}) + (7.4 \times 10^{-3}). Give your answer in standard form.
19
19(a) [1]
The mass of a bag of almonds is 125125 g, correct to the nearest gram. Write down the lower bound of the mass of the bag of almonds.
19(b) [2]
The mass of a large box is 500500 g, correct to the nearest 1010 grams. The mass of a small box is 250250 g, correct to the nearest 1010 grams. Calculate the upper bound of the difference between the mass of a large box and the mass of a small box.
24 [4]
Solve xx−1−5x−3=1\frac{x}{x - 1} - \frac{5}{x - 3} = 1.

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