O-LevelMathematicsNumber4024/22 · Oct/Nov 2023 · Q111 Marks
Idris repairs computers. This is how he calculates the charge for a repair. $56 for the first hour Then $12.25 for each additional 15 minutes
- (a)(i)Work out the amount Idris charges for a repair that takes him 2 hours.[2]
- (a)(ii)Idris charges $166.25 for another repair. He starts work on the repair at 2.30 pm. Find the time when he completes the repair.[3]
- (b)Idris invests $6200 in an account paying compound interest at a rate of 1.7% per year. Calculate the total amount of interest earned at the end of 4 years.[3]
- (c)The exchange rate between dollars ($) and euros (€) is $1 = €0.84 . Idris buys some equipment from a website that charges in euros. The equipment costs €760. Idris must pay 2.5% tax on this cost. Work out the amount Idris pays for the equipment including tax. Give your answer in dollars.[3]
Mark scheme
Marking points from the official mark scheme (Oct/Nov 2023). The mark or mark type is shown in brackets.
- [2] M1 for 56 + 4 × 12.25 oe
- [3] B2 for answer 4.45 [pm] or 16 45 or
- for 3.25 [hours] soi or
- for 3.30[pm] and 2.25 [hours] oe
- for 4.30 [pm] and 1.25 [hours] oe
- or M1 for (166.25-56)/12.25 [×15] oe or
- (166.25-105)/12.25 [×15] oe
- [3] M2 for 6200×(1 + 1.7/100)^4 [-6200] oe
- or M1 for 6200×(1 + 1.7/100)^k oe where k > 1
- [3] M2 for (760 / 0.84)×(1 + 2.5/100) oe
- or M1 for A ÷ 0.84 or A × 1.19[0...] or A×(1 + 2.5/100) oe
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