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Exam-Style Questions on SpeedProblems on Speed adapted from questions set in previous Mathematics exams. |
1. | GCSE Higher |
Bruce cycles a distance of 30 km at an average speed of 20 km/h.
He then runs a distance of 8 km at an average speed of 6 km/h.
Work out the total time Bruce takes.
Give your answer in hours and minutes
2. | GCSE Higher |
Mr Finknottle takes his parents for a drive in his car.
He drives the first ten miles in ten minutes then drives at an average speed of 68 miles per hour for 1 hour 45 minutes.
He finds this information about his car:
| Average Speed (s) | \(s \le 65 mph\) | \( s\gt 65 mph\) |
|---|---|---|
| Miles travelled per gallon | 60 | 50 |
Use the information to find how many gallons of petrol he uses during the drive.
3. | GCSE Higher |
Here is a speed-time graph for a drone.
(a) Work out an estimate for the distance the train travelled between the 10th and 15th second.
Is your answer to part (a) an underestimate or an overestimate of the actual distance the train travelled during that time? Give a reason for your answer.
Noah used the graph to find out an estimate for the deceleration of the drone at time 35 seconds. He realised that it took ten seconds for the drone's speed to fall to zero.
Here is Noah’s working.
(b) Noah’s method does not give a good estimate of the deceleration at time 35 seconds. Explain why.
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