StudentAidPaper 2 — Variant 2
O Level Mathematics · 4024/22 · Oct/Nov 2022
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.
5
5(a)
A bag contains five-cent coins and ten-cent coins.
5(a)(i)
[1]
There is a total of 130 coins in the bag. Write down an equation, in terms of and , for the total number of coins in the bag.
5(a)(ii)
[1]
The total value of the coins in the bag is . Write down an equation, in terms of and , for the total value of the coins in the bag.
5(a)(iii)
[3]
Solve the two simultaneous equations to find the number of each type of coin in the bag. Show your working.
5(b)
[3]
A machine makes five-cent coins. It makes 720 coins per minute. The machine operates for 24 hours per day. Calculate the total value, in dollars, of the coins made by the machine in 300 days. Give your answer in standard form, correct to 3 significant figures.
5(c)
[3]
The diameter of a five-cent coin is mm, correct to the nearest mm. The diameter of a ten-cent coin is mm, correct to the nearest mm. Marlon makes a line of 10 five-cent coins and a line of 10 ten-cent coins. Calculate the upper bound of the difference between the lengths of the two lines.
8
8(a)
[2]
Simplify.
8(b)
[2]
Solve.
8(c)
Simplify.
8(c)(i)
[1]
8(c)(ii)
[1]
8(d)
8(d)(i)
[1]
Find the value of when and .
8(d)(ii)
[2]
Rearrange the formula to make the subject.
8(e)
[3]
Solve. Show all your working and give your answers correct to 3 significant figures.
Published by Cambridge Assessment International Education. Reproduced for study use.