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Learn/ O Level Mathematics/ Past Papers/ 2022/ Oct/Nov 2022 /Paper 2 (Variant 1)

Paper 2 — Variant 1

O Level Mathematics · 4024/21 · Oct/Nov 2022

Question Paper

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Mark Scheme

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Questions

4 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.

1
1(a) [2]
Abid works in an office for 5 days each week. Each day he works from 08 15 until 12 40 and then from 13 30 until 17 00. Work out the total time Abid works in one week. Give your answer in hours and minutes.
1(b) [2]
Abid earns \$14.20 per hour. He is given a pay increase of 5%5\%. Calculate the amount Abid earns per hour after the increase.
1(c) [3]
Each month Abid divides his earnings between rent, bills and savings. He uses 20%20\% of his earnings for rent. He uses 38\frac{3}{8} of his earnings for bills. The rest of his earnings are savings. Find the ratio rent : bills : savings. Give your answer in its simplest form.
1(d) [2]
Abid invests \$2400 in a savings account for 4 years. The account pays simple interest at a rate of r%r\% per year. At the end of 4 years he receives a total of \$153.60 in interest. Calculate the value of rr.
1(e) [3]
Abid invests some money in a different savings account. This account pays compound interest at a rate of 1.4%1.4\% per year. At the end of 5 years there is \$1822.38 in the account. Calculate the amount of money Abid invests in this account.
4
f(x)=x2−7f(x) = x^{2} - 7 g(x)=4−3x2g(x) = \frac{4 - 3x}{2}
4(a) [1]
Find f(8)f(8).
4(b) [1]
Find g(−2)g(-2).
4(c) [3]
Find g−1(x)g^{-1}(x).
4(d) [4]
Solve f(2x−1)+3=0f(2x - 1) + 3 = 0.
8
Lara and Marco each cycle 50 km on a cycle trail. Lara cycles at an average speed of xx km/h. Marco cycles at an average speed of (x−3)(x - 3) km/h.
8(a) [1]
Write down an expression for the time, in hours, Lara takes to complete the trail.
8(b) [4]
Marco takes 15 minutes longer than Lara to complete the trail. Hence form an equation and show that it simplifies to x2−3x−600=0x^{2} - 3x - 600 = 0.
8(c) [3]
Solve the equation x2−3x−600=0x^{2} - 3x - 600 = 0. Show your working and give your answers correct to 2 decimal places.
8(d) [2]
Find the time Marco takes to complete the trail. Give your answer in hours and minutes, correct to the nearest minute.
9
9(a) [4]
Kate thinks of a number, nn. She subtracts 8 from the number and multiplies the result by 3. The answer is 11 less than the number she thought of. Form an equation in nn and solve it to find Kate's number.
9(b) [3]
Write as a single fraction in its simplest form. x2−42÷x2+2x4\frac{x^{2} - 4}{2} \div \frac{x^{2} + 2x}{4}

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