Drawing: Problem Solving & Reasoning
Mathematics
GCSE Foundation
11 questions
~22 mins
1 views0 downloads
About This Worksheet
A worksheet focusing on drawing and interpreting distance-time graphs to develop problem-solving and reasoning skills for GCSE Foundation students.
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Full preview • 11 questions
Drawing: Problem Solving & Reasoning
Subject: MathematicsGrade: GCSE Foundation
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Untitled Worksheet
Grade GCSE Foundation
A
Practice Questions
Answer all questions. Show your working in the grid spaces provided.
1.
Plot the graph of y=2x for x from 0 to 10. Label the axes accordingly.
[3 marks]2.
Plot the motion of a car that starts stationary, accelerates uniformly for 5 seconds to 20 m/s, then maintains this speed. Draw the corresponding distance-time graph assuming starting point at zero.
[4 marks]3.
Construct a distance-time graph for a cyclist who travels 60 km in 3 hours at steady speed, then stops for 30 minutes, and resumes for another 2 hours covering 40 km.
[4 marks]4.
Identify and correct the mistake in the following drawing: a graph with an incorrect gradient for a constant speed scenario.
[2 marks]5.
Plot a graph of y = 0.5x + 2 for x between 0 and 8. Label the y-intercept and the gradient.
[3 marks]6.
Describe the features of a distance-time graph where the line is straight and horizontal. What does this indicate about the motion?
[2 marks]7.
Plot and draw the acceleration phase of a vehicle that increases its speed from 10 m/s to 30 m/s over 5 seconds. Use the grid to sketch the velocity vs. time graph, then sketch the corresponding distance-time graph.
[4 marks]8.
Construct a distance-time graph for a runner who accelerates from 0 to 8 m/s in 4 seconds, then maintains that speed for 6 seconds before stopping.
[4 marks]9.
A hiker walks 5 km at a steady pace, then rests for 15 minutes before walking another 3 km at the same pace. Draw the distance-time graph for the entire walk, assuming they start at 0 km at time zero.
[4 marks]10.
A car's speed graph shows a steep gradient for 10 seconds and then a flat line for the next 20 seconds. Explain what the steep and flat parts of the graph indicate about the car's motion.
[2 marks]11.
For a train moving at a constant speed of 60 km/h over 2 hours, draw and label the distance-time graph. Then, identify the slope and interpret its meaning.
[3 marks]Quick Actions
What is Remix?
Create a new worksheet based on this one. Change the grade level, topic, number of questions, or difficulty - then generate a fresh version.
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet