O-LevelMathematicsNumber4024/21 · May/June 2022 · Q111 Marks
(a) In 2020, the running cost for Frederick's car was $5200. 28% of the running cost was spent on insurance. 3/25 of the running cost was spent on maintenance. $740 of the running cost was spent on tax. The remainder of the running cost was spent on petrol. (b) In January, the cost of petrol is $2.20 per litre.
- (a)(i)Calculate the amount Frederick spent on petrol.[3]
- (a)(ii)In 2021, the tax increased by 1.5%. Calculate the tax in 2021.[2]
- (b)(i)Find the cost of 38.7 litres of petrol.[1]
- (b)(ii)The average amount of petrol Frederick's car uses is 7 litres per 100 km. In January, he spends $215.60 on petrol. Calculate the number of kilometres he drives in January.[3]
- (b)(iii)In February, the cost of petrol increases to $2.24 per litre. Calculate the percentage increase in the cost of petrol from January to February.[2]
Mark scheme
Marking points from the official mark scheme (May/June 2022). The mark or mark type is shown in brackets.
- [3] 2380
- M1 for 28/100 × 5200 oe
- M1 for 3/25 × 5200 oe
- [2] 751.1[0]
- M1 for 740 + 1.5/100 × 740 oe or B1 for 11.1[0]
- [1] 85.14
- [3] 1400
- M1 for 215.60/2.20 soi
- M1 for their98/7 × 100 oe
- [2] 1.82 or 1.818...
- M1 for (2.24-2.20)/2.20 [x100] oe or (2.24/2.20) x 100 oe
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