Speed Calculations: Real-world Applications
Mathematics
GCSE Higher
17 questions
~34 mins
1 views0 downloads
About This Worksheet
A worksheet covering Speed Calculations using Distance-Time Graphs, focusing on real-world applications for GCSE Higher students.
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Speed Calculations: Real-world Applications
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 60 km in 2 hours. What is the cyclist's speed in km/h?
[2 marks]3.
A train takes 4 hours to travel 240 km. Calculate its average speed.
[2 marks]4.
A runner completes a 10 km race in 50 minutes. Find their average speed in km/h.
[2 marks]B
Fluency & Practice
Solve these procedural questions to build your understanding.
1.
A scooter travels at a constant speed of 25 km/h. How long will it take to travel 100 km?
[3 marks]2.
An object moves with a speed of 15 m/s for 20 seconds. What distance does it cover?
[3 marks]C
Problem Solving & Reasoning
Tackle these multi-step problems, explaining your reasoning.
1.
A bus travels at 60 km/h for 2 hours, then at 40 km/h for 1.5 hours. Find the total distance traveled and the average speed for the whole journey.
[4 marks]2.
A hiker walks 12 km at a speed of 4 km/h. Then, they rest for 30 minutes, and walk another 8 km at 5 km/h. What is their overall average speed for the entire trip?
[4 marks]D
Real-world Applications
Use context to solve these real-world speed problems.
1.
A delivery van travels 180 km at an average speed of 45 km/h. How long does the journey take?
[2 marks]2.
A swimmer covers 2 km in 40 minutes. What is their speed in km/h?
[2 marks]3.
A hiker walks at 5 km/h for 3 hours. How far has she traveled?
[2 marks]E
Challenge & Extension
Attempt these challenging problems for extension.
1.
A cyclist accelerates uniformly from 10 km/h to 30 km/h over a distance of 20 km. Find the average speed during the acceleration phase.
[4 marks]2.
An airplane flies at a constant speed of 600 km/h. How long does it take to travel 1500 km?
[2 marks]F
Mixed Review
Review a variety of question types on speed calculations.
1.
Construct a distance-time graph representing a vehicle that travels 0 km in 0 hours, then accelerates to 60 km in 2 hours, then maintains this speed for 3 hours.
02.
A motorboat travels at 25 km/h downstream and 15 km/h upstream. If the total trip takes 4 hours and the downstream trip is 30 km, find the length of the upstream trip.
[3 marks]G
Error Analysis
Identify and correct common mistakes in speed calculation problems.
1.
A student calculates speed as total distance divided by total time but forgets to convert units. For a trip of 150 miles in 3 hours, they give an answer of 50 miles/hour. Is this correct? If not, what is the correct speed?
[2 marks]2.
A student incorrectly calculates average speed by dividing total distance by total time, but they mistakenly add the times instead of dividing. For a journey of 100 km in 2 hours and 150 km in 3 hours, they compute (100+150)/(2+3)= 50 km/h. What is the correct average speed?
[2 marks]Quick Actions
What is Remix?
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet