Drawing: Real-world Applications of Distance-Time Graphs
Mathematics
Grade 7
11 questions
~22 mins
1 views0 downloads
About This Worksheet
A worksheet focusing on drawing and interpreting distance-time graphs through real-world scenarios, designed for Grade 7 students.
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Drawing: Real-world Applications of Distance-Time Graphs
Subject: MathematicsGrade: Grade 7
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Untitled Worksheet
Grade Grade 7
A
Practice Questions
Answer all questions. Show your working in the grid spaces provided.
1.
Plot the graph of a car that starts from rest, accelerates at a steady rate for 5 minutes reaching a distance of 10 km, then moves at a constant speed for 10 minutes covering an additional 10 km.
[4 marks]2.
Construct a distance-time graph for a cyclist who travels 15 km in 30 minutes at a constant speed.
[3 marks]3.
Plot the motion of a person walking at 3 km/h for 20 minutes. Label the axes and key points.
[3 marks]4.
A skateboarder travels 4 km in 8 minutes, then pauses for 4 minutes, and resumes traveling at the same speed for another 4 km. Draw the corresponding distance-time graph.
[4 marks]5.
Explain what the flat (horizontal) sections of a distance-time graph represent, giving a real-world example.
[2 marks]6.
A runner accelerates quickly for the first 2 minutes, then maintains a steady speed for 5 minutes, then slows down for 3 minutes. Sketch a possible distance-time graph based on this description.
[4 marks]7.
A bus travels 60 km at an average speed of 30 km/h. Plot a distance-time graph and determine how long the journey takes.
[3 marks]8.
Construct a graph showing the motion of a hiker who starts at 0 km, hikes 8 km in 2 hours, then rests for 30 minutes, then hikes another 4 km in 1 hour.
[4 marks]9.
Describe how you would identify on a distance-time graph where a vehicle is moving at constant speed, accelerating, or stationary.
[2 marks]10.
Identify and correct the mistake in this student graph: a flat line from 0 to 4 minutes, then a sharp increase, then flat again, but the scale on the distance axis is inconsistent.
[3 marks]11.
Draw a graph to represent a vehicle that starts from 0 km, accelerates uniformly to reach 20 km in 10 minutes, then maintains a speed of 2 km/min for 10 minutes.
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet