O-LevelMathematicsNumber4024/21 · May/June 2023 · Q28 Marks

Filomena starts work at 10.45 am on Monday. She finishes work 2 hours 50 minutes later. Find the time she finishes work on Monday.

(a)Filomena starts work at 10.45 am on Monday. She finishes work 2 hours 50 minutes later. Find the time she finishes work on Monday.[1]
(b)(i)Xavier works for 5 days each week. He works for 4½ hours on each of the 5 days. Each week he earns $261. Calculate the hourly rate he is paid.[1]
(b)(ii)One day, the length of time Xavier works decreases by 20%. Calculate the length of time he works that day. Give your answer in hours and minutes.[2]
(c)In 2021, Miguel's income was $32000. In 2022, his income increased to $33 408. Calculate the percentage increase in his income from 2021 to 2022.[2]
(d)Miguel invests $x in an account paying simple interest at a rate of 1.2% per year. At the end of 3 years, he has $890.96 in the account. Calculate the value of x.[2]

Mark scheme

Marking points from the official mark scheme (May/June 2023). The mark or mark type is shown in brackets.

[1] (a) [0]1 35pm or 13 35 final answer
[1] (b)(i) 11.6[0]
[2] (b)(ii) 3 hours 36 minutes cao M1 for 4.5 – (20/100) × 4.5 oe or (270/100) × 270 oe or B1 for 54 [minutes]
[2] (c) 4.4 M1 for ((33408-32000)/32000) [×100] oe or (33408/32000) ×100 oe
[2] (d) 860[.00] M1 for x + (3 × 1.2/100)x = 890.96 oe

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