O-LevelMathematicsNumber4024/21 · Oct/Nov 2024 · Q111 Marks

Basma owns a toy shop.

(a)The sign shows the opening hours for the shop. Saturday to Wednesday 1030 to 1800 Thursday and Friday 1000 to 1930 Work out the length of time the shop is open in one week.[1]
(b)Basma employs 5 sales assistants and 2 supervisors. On one particular week, the 5 sales assistants each work for 30 hours and the 2 supervisors each work for 38 hours. For that week, the total amount Basma pays these 7 employees is $3324.70 . Basma pays each sales assistant $13.45 per hour. Calculate the amount Basma pays each supervisor per hour.[3]
(c)The exchange rate between dollars ($) and pounds (£) is $1 = £0.77 . Basma buys 50 identical games for a total of £245. She makes a profit of 39% when she sells each game. Calculate the selling price of one game in dollars. Give your answer correct to the nearest cent.[4]
(d)Basma invests $12000 in an account paying compound interest at a rate of 1.5% per year. At the end of year 1, she invests another $12000 in the same account. At the end of year 4, she takes $20000 out of the account. Calculate the amount of money remaining in the account at the end of year 4. Give your answer correct to the nearest cent.[3]

Mark scheme

Marking points from the official mark scheme (Oct/Nov 2024). The mark or mark type is shown in brackets.

[1] 56.5 oe
[3] M1 for 5 × 30 × 13.45
[3] M1 for (3324.70 - their2017.50) / (2×38)
[4] M3 for (245×1.39) / (50×0.77) oe
[4] OR M2 for (245×1.39) / 50 or 245 / (50×0.77) or (245×1.39) / 0.77
[4] OR M1 for 245 / 0.77 or their (amount in £) / 0.77 seen
[4] and M1 for 39/100 × their 6.36[+their 6.36] seen
[3] M2 for 12000×(1+1.5/100)^4 +12000×(1+1.5/100)^3 or for 24180×(1+1.5/100)^3 oe
[3] or M1 for [12000×] (1+1.5/100)^k oe k = 3 or 4 ISW
[3] After 0 scored, SC1 for 24180×(1+1.5/100)^3

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