Real-world: Fluency & Practice
Mathematics
GCSE Foundation
11 questions
~22 mins
1 views0 downloads
About This Worksheet
A worksheet focused on understanding and applying inverse proportion in real-world contexts to enhance procedural fluency and problem-solving skills.
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Full preview • 11 questions
Real-world: Fluency & Practice
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.
If the number of workers increases, the time taken to complete a task decreases proportionally. If 4 workers take 6 hours, how many hours will 12 workers take?
[3 marks]2.
A car travels at a constant speed. If it covers 150 miles in 3 hours, how far will it travel in 8 hours at the same speed?
[3 marks]3.
A recipe that serves 4 people requires 200 grams of sugar. If the recipe needs to serve 10 people, how much sugar is needed?
[2 marks]4.
Plot the graph of y = 3/x for x values from 1 to 6.
[4 marks]5.
A worker's efficiency is inversely proportional to the time taken to complete a task. If a worker completes a task in 5 hours, what is the efficiency ratio compared to a worker who takes 8 hours?
[2 marks]6.
A machine's output is inversely proportional to the time it runs. If running for 6 hours produces 120 units, how many units are produced in 3 hours?
[3 marks]7.
A car's fuel efficiency (mpg) is inversely proportional to the amount of fuel used. If a car uses 20 gallons for 400 miles, how many miles can it travel using 10 gallons?
[3 marks]8.
Identify the mistake: A student claims that if doubling a quantity makes the total double, then the relationship is direct proportion. Is this correct? Explain.
[4 marks]9.
A worker takes 10 hours to finish a task when working alone. When 3 workers work together, they finish the task in 2 hours. Is this an example of inverse proportion? Justify your answer.
[4 marks]10.
A recipe for 8 people requires 400 grams of flour. How much flour is needed for 5 people?
[2 marks]11.
Challenge: A factory's production rate is inversely proportional to the number of machines operating. If 5 machines produce 200 units per hour, how many units per hour are produced when 8 machines are working?
[4 marks]Quick Actions
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet