O-LevelMathematicsNumber4024/22 · Oct/Nov 2018 · Q48 Marks
Anna drives 45 km to work each day. One day she drives the first 25 km at an average speed of 82 km/h. She takes 36 minutes to drive the remaining distance. Calculate her average speed, in km/h, for the whole journey.
- (a)Anna drives 45 km to work each day. One day she drives the first 25 km at an average speed of 82 km/h. She takes 36 minutes to drive the remaining distance. Calculate her average speed, in km/h, for the whole journey.[3]
- (b)Anna’s journey home is 47 km, correct to the nearest kilometre. One day her journey home takes 65 minutes, correct to the nearest 5 minutes. Calculate the upper bound of her average speed, in km/h, for the journey home.[3]
- (c)The probability that Anna arrives at work on time or early on any given day is 5/8. Calculate the probability that she is late on both Monday and Tuesday. Give your answer as a fraction.[2]
Mark scheme
Marking points from the official mark scheme (Oct/Nov 2018). The mark or mark type is shown in brackets.
- [3] M1 for [time =] 25/82 oe or 36 ÷ 60
- [3] M1 for 45 ÷ their time
- [3] B1 for 47.5 or 62.5 used
- [3] M1 for (their 47.5) / (their 62.5/60)
- [2] M1 for 3/8 × 3/8
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