Speed Calculations: Error Analysis & Misconceptions
Mathematics
GCSE Foundation
13 questions
~26 mins
1 views0 downloads
About This Worksheet
A worksheet focusing on identifying and correcting misconceptions in speed calculations from distance-time graphs. Designed to develop procedural skills and reasoning.
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Speed Calculations: Error Analysis & Misconceptions
Subject: MathematicsGrade: GCSE Foundation
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Untitled Worksheet
Grade GCSE Foundation
A
Fluency & Practice
Answer the following questions to practice calculating speed from distance-time graphs. Show all working in the grid.
1.
A car travels 150 km in 3 hours. Calculate its average speed in km/h.
[2 marks]2.
A cyclist covers 45 km in 1.5 hours. Find the cyclist's speed in km/h.
[2 marks]3.
A train's distance-time graph shows it traveled 240 km in 4 hours. What was its speed in km/h?
[2 marks]B
Practice & Application
Answer the following questions involving multi-step calculations and explanations.
1.
A runner takes 20 minutes to cover 5 km. What is their speed in km/h? Show your working.
[3 marks]2.
On a distance-time graph, a vehicle's line slopes upwards steadily for 6 hours, covering 180 km. Calculate its average speed and interpret what the slope indicates about the vehicle's motion.
[4 marks]3.
A boat travels downstream at 25 km/h and upstream at 15 km/h. Find the speed of the current and the speed of the boat in still water.
[4 marks]C
Real-world Applications
Solve these word problems based on real-world scenarios involving speed calculations.
1.
A delivery van travels 120 km in 2 hours and then 180 km in 3 hours. Find the average speed for the entire journey.
[3 marks]2.
A hiker takes 4 hours to walk 16 km. Later, they cover another 8 km in 2 hours. What is their overall average speed in km/h?
[4 marks]D
Challenge & Extension
Attempt these more difficult problems to extend your understanding.
1.
A cyclist accelerates uniformly from 10 km/h to 30 km/h over 5 minutes. Calculate the average speed during this period in km/h, assuming uniform acceleration.
[4 marks]2.
A train travels along a straight track. The distance-time graph shows it at 0 km at 8:00 am, 120 km at 10:00 am, and 180 km at 12:00 pm. Determine the train's average speed in each interval and comment on any misconceptions students might have about variable speeds.
[4 marks]E
Mixed Review & Error Analysis
Answer these questions, paying attention to common errors in speed calculations.
1.
A student calculates the speed as 75 km/h when a car travels 150 km in 2 hours. Identify the mistake and correct it.
[3 marks]2.
A cyclist claims they travel 40 km in 2 hours, so their speed is 20 km/h. Is this correct? Explain your reasoning.
[3 marks]3.
A graph shows a straight line from (0,0) to (4,80). What is the correct calculation of the speed, and what common mistake might students make here?
[3 marks]Quick Actions
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet