O-LevelMathematicsNumber4024/22 · Oct/Nov 2024 · Q111 Marks
These are the contents of a bag of mixed fruit. Pineapple 96 g Mango 84 g Papaya 60 g Calculate the mass of mango as a percentage of the total mass of the mixed fruit.
- (a)These are the contents of a bag of mixed fruit. Pineapple 96 g Mango 84 g Papaya 60 g Calculate the mass of mango as a percentage of the total mass of the mixed fruit.[2]
- (b)Tom makes a drink by mixing juice and water in the ratio 3 : 7. He makes 1.4 litres of this drink. Calculate the amount of juice Tom uses. Give your answer in millilitres.[2]
- (c)The cost of a fruit drink is directly proportional to the amount of juice it contains. A fruit drink containing 125 ml of juice costs $1.50 . Calculate the cost of a fruit drink containing 175 ml of juice.[2]
- (d)Kofi has a bag containing nuts and raisins. There are 285 g of raisins in the bag. The remaining 62% of the mass in the bag is nuts. Calculate the mass of nuts in the bag.[2]
- (e)The mass of mixed nuts and seeds in a bag is 500g, correct to the nearest 10g. The mass of nuts in the bag is 350g, correct to the nearest 5 g. Calculate the upper bound and the lower bound of the mass of seeds in the bag.[3]
Mark scheme
Marking points from the official mark scheme (Oct/Nov 2024). The mark or mark type is shown in brackets.
- [2] 35
- [M1] for 84 / (96 + 84 + 60) [×100] oe
- [2] 420
- [M1] for figs 14 / (3 + 7) × k where k = 1, 3 or 7
- [B1] for 1000 ml = 1 litre soi
- [2] 2.1[0]
- [M1] for 1.5[0] / 125 × 175 oe or 175 / 125 × 1.50 oe
- [2] 465
- [M1] for (100 – 62)% oe equated to 285 soi
- [3] [UB =] 157.5
- [LB =] 142.5
- [B2] for one answer correct or for both answers correct but reversed
- [B1] for two of 495, 505, 347.5, 352.5 seen
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