Speed Calculations: Challenge & Extension
Mathematics
GCSE Higher
12 questions
~24 mins
1 views0 downloads
About This Worksheet
A worksheet exploring advanced speed calculations using distance-time graphs, designed for GCSE Higher students to develop problem-solving skills and extend their understanding.
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Speed Calculations: Challenge & Extension
Subject: MathematicsGrade: GCSE Higher
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Untitled Worksheet
Grade GCSE Higher
A
Practice Questions
Answer all questions. Show your working in the grid spaces provided.
1.
Calculate the average speed of a vehicle that travels 150 km in 3 hours. Show your working.
[3 marks]2.
A car travels at a constant speed of 60 km/h for 2 hours, then accelerates to 100 km/h for the next 1.5 hours. Calculate the total distance traveled.
[4 marks]3.
Plot a distance-time graph for a runner who starts from rest, accelerates uniformly to 8 m/s in 10 seconds, then runs at a constant speed for 20 seconds before slowing down. (You do not need to draw the graph here, just describe the key points required.)
[3 marks]4.
A cyclist covers 45 km at 15 km/h, then 30 km at 20 km/h. Find the total time taken.
[3 marks]5.
A train travels along a straight track, and its distance-time graph is a straight line from (0, 0) to (120, 60). What is the average speed of the train?
[2 marks]6.
Identify the mistake in this statement: 'A speed of 80 km/h over 2 hours means the total distance is 160 km. Therefore, the average speed is 80 km/h.'
[2 marks]7.
On a distance-time graph, a straight line from (0, 0) to (4, 20) indicates a constant speed. Calculate that speed.
[2 marks]8.
A scooter accelerates uniformly from 0 to 12 m/s in 6 seconds. Draw the graph of speed vs. time and calculate the acceleration.
[4 marks]9.
A hiker walks 8 km at 4 km/h, then 6 km at 3 km/h. Determine the overall average speed for the entire hike.
[3 marks]10.
A car's distance-time graph shows a slope of 25 km/h during the first 2 hours, then the slope decreases to 10 km/h during the next 3 hours. Explain what this indicates about the vehicle's speed.
[2 marks]11.
A bus covers 180 km at an average speed of 60 km/h. Due to roadworks, it slows down to 30 km/h for the last 60 km. Calculate the total time taken for the journey.
[4 marks]12.
An error in calculating speed is to divide the total distance by the total time without considering changes in speed. Explain why this might lead to an inaccurate understanding of the vehicle's actual speeds during different segments.
[2 marks]Quick Actions
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet