Drawing: Challenge & Extension
Mathematics
GCSE Higher
10 questions
~20 mins
1 views0 downloads
About This Worksheet
A worksheet focusing on drawing and interpreting distance-time graphs, designed for GCSE Higher students to develop procedural and reasoning skills.
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Full preview • 10 questions
Drawing: 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.
Plot the graph of y=2x for x values from 0 to 10. Use the grid provided.
[3 marks]2.
Construct a distance-time graph representing a car that starts from rest, accelerates uniformly to 60 km/h in 10 minutes, then travels at constant speed for 20 minutes before stopping.
[4 marks]3.
Calculate the average speed from a graph where the distance increases from 0 to 50 km in 2 hours. Show your working.
[3 marks]4.
Identify the section of a graph where the object is stationary. The graph shows a flat horizontal line between 15 and 25 minutes. Explain what this indicates about the object’s motion.
[2 marks]5.
Describe how to accurately draw a straight segment representing uniform motion on a distance-time graph.
[2 marks]6.
Given a graph where the gradient increases linearly, what does the changing gradient tell you about the object's acceleration?
[2 marks]7.
Construct a graph showing a cyclist starting from rest, accelerating uniformly for 5 minutes, then maintaining a constant speed of 15 km/h for 10 minutes, before stopping.
[4 marks]8.
Plot and draw the graph for y= -x + 10, for x from 0 to 10. Label the axes clearly.
[3 marks]9.
A vehicle’s distance-time graph shows a steep gradient at first, then a gentle slope, and finally a flat line. Explain the different phases of motion represented.
[3 marks]10.
Identify and correct the mistake in the following drawing: The line representing uniform motion is drawn as a curved line rather than straight.
[2 marks]Quick Actions
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet