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Learn/ O Level Mathematics/ Past Papers/ 2021/ May/June 2021 /Paper 2 (Variant 2)

Paper 2 — Variant 2

O Level Mathematics · 4024/22 · May/June 2021

Question Paper

PDF · 1.4 MB · 20 pages

Mark Scheme

PDF · 296 KB · 8 pages

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Questions

2 of 12 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.

1
1(a) [2]
The price of an electric drill is $78\$78. In a sale, the price is reduced by 15%15\%. Calculate the sale price.
1(b) [2]
The exchange rate between dollars (\$) and euros (€) is $1=€0.85\$1 = €0.85. Michael changes $100\$100 to euros. He buys a clock costing €58.99€58.99. He changes the remaining money back to dollars. Calculate the amount, in dollars, he has left.
1(c) [4]
ACE SIMPLE: Simple interest at 2.1%2.1\% per year. COOL COMPOUND: Compound interest at 2%2\% per year. Pietro invests $3500\$3500 in the Ace Simple account for 4 years. Eliana invests $3500\$3500 in the Cool Compound account for 4 years. At the end of the 4 years, who has more money in their account and by how much?
8
f(x)=3x−5f(x) = 3x - 5 g(x)=4x+43g(x) = \frac{4x+4}{3}
8(a) [1]
Find f(−2)f(-2).
8(b) [3]
Find the largest integer satisfying f(x)>3g(x)f(x) > 3g(x).
8(c) [3]
Solve f(x)=g(3x−5)f(x) = g(3x-5).
8(d) [1]
Solve g−1(x)=5g^{-1}(x) = 5.

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