Speed Calculations: Problem Solving & Reasoning
Mathematics
GCSE Higher
11 questions
~22 mins
1 views0 downloads
About This Worksheet
A worksheet focusing on calculating speed from distance-time graphs, including procedural questions, real-world problems, and extension challenges for GCSE Higher students.
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Speed Calculations: Problem Solving & Reasoning
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.
A car travels 150 km in 3 hours. Calculate its average speed in km/h.
[2 marks]2.
A cyclist covers 40 km in 2 hours. What is the cyclist's speed in km/h?
[2 marks]3.
A runner completes 10 km in 50 minutes. Find the runner's speed in km/h.
[2 marks]4.
Plot the graph of y=3x for x from 0 to 10.
[3 marks]5.
A train travels 240 km in 4 hours. Construct a distance-time graph segment showing this journey.
[3 marks]6.
A vehicle accelerates uniformly from 0 to 60 km/h over 10 minutes. Calculate its acceleration in km/h per minute.
[3 marks]7.
A person walks at 5 km/h for 30 minutes, then runs at 12 km/h for 20 minutes. What is their total distance covered?
[4 marks]8.
A cyclist maintains a speed of 25 km/h for 2 hours, then speeds up to 30 km/h for a further 1.5 hours. Plot the distance covered on the grid.
[4 marks]9.
A bus takes 3 hours to travel 180 km. It then increases its speed and completes another 150 km in 2 hours. Calculate the overall average speed for the entire journey.
[4 marks]10.
A cyclist's journey is represented by a distance-time graph; at one point, the graph shows a sudden flat section. Identify and explain the mistake this indicates.
[4 marks]11.
A train accelerates from 0 to 100 km/h in 20 minutes. What is its acceleration in km/h per minute? Then, calculate the average speed over the entire acceleration period.
[4 marks]Quick Actions
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet