O-LevelMathematicsNumber4024/22 · May/June 2024 · Q18 Marks

Oranges cost $1.45 per kilogram. Asher buys 1.2 kg of oranges. Find the change he receives from $10.

(a)Oranges cost $1.45 per kilogram. Asher buys 1.2 kg of oranges. Find the change he receives from $10.[1]
(b)(i)Maria pays a fee to sell strawberries at a market. Each day she pays $75 plus a payment for the mass of strawberries she sells. The fee Maria pays per day is shown on the graph. [Figure 1.1] One day Maria's fee is $240. Use the graph to find the mass of strawberries she sells that day.[1]
(b)(ii)On Saturday Maria sells 270kg of strawberries. On Sunday she sells 220kg of strawberries. Find the total fee she pays for these two days.[2]
(b)(iii)The fee per day for Maria now increases. Each day she now pays $90 plus a payment of $60 for every 100kg of strawberries she sells. On the grid, draw a line to represent this new fee when she sells 0kg to 500 kg of strawberries in a day.[2]
(c)Write the ratio 1.6kg: 600g : 2.4kg in its simplest form.[2]

This question uses a diagram from the original paper, which isn't shown here. Open the full paper from the past papers archive to see it.

Mark scheme

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

[1] 8.26 cao
[1] 328 to 332
[2] 388 to 402
B1 for 208 to 212 seen or 180 to 190 seen
[2] Ruled line from (0, 90) to (500, 390)
B1 for short or unruled or dashed correct line or for two correct coordinates soi or for a ruled line with a positive gradient passing through (0, 90) and (500, k) or (h, 400)
[2] 8:3:12 cao
B1 for 1600: 600:2400 oe

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