Mastering Direct & Inverse Proportion
Mathematics
Grade 6
4 questions
~8 mins
0 views0 downloads
About This Worksheet
A worksheet covering the basics and applications of Direct & Inverse Proportion for Grade 6 students.
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Mastering Direct & Inverse Proportion
Subject: MathematicsGrade: Grade 6
Name:
Date:
Untitled Worksheet
Grade Grade 6
A
Introduction
Review the key concepts below before attempting the questions.
1.
In direct proportion, when one quantity increases, what happens to the other? Briefly explain.
[2 marks]2.
In inverse proportion, when one quantity increases, what happens to the other?
[2 marks]3.
Write the formula that relates two quantities in direct proportion.
[2 marks]4.
Write the formula that relates two quantities in inverse proportion.
[2 marks]B
Procedural Questions
Answer all questions. Show your working in the grid spaces provided.
1.
If y is directly proportional to x, and y = 10 when x = 2, find y when x = 5.
[3 marks]2.
A car travels 60 km in 2 hours. If the speed is directly proportional to the distance traveled, how far will it travel in 5 hours at the same speed?
[3 marks]3.
A worker takes 8 hours to complete a task. If the time taken is inversely proportional to the number of workers, how long will it take 4 workers to complete the same task?
[3 marks]4.
The cost of apples is directly proportional to the weight. If 3 kg cost $12, what is the cost of 5 kg of apples?
[3 marks]5.
A machine's output is inversely proportional to the time taken for production. If the machine produces 50 units in 4 hours, how many units will it produce in 2 hours?
[3 marks]C
Reasoning & Problem-Solving
Apply your understanding of proportionality to solve these problems.
1.
A recipe uses 2 cups of flour for 4 servings. How much flour is needed for 10 servings, assuming the amount is directly proportional?
[3 marks]2.
A cyclist's speed is inversely proportional to the time taken to travel a fixed distance. If it takes 3 hours at a certain speed, how long will it take at double that speed?
[3 marks]3.
A car's fuel consumption is directly proportional to the distance traveled. If a car consumes 8 liters for 100 km, how many liters are needed for 250 km?
[3 marks]4.
The number of pages read by a student is inversely proportional to the time spent reading. If the student reads 30 pages in 1 hour, how many pages will they read in 2 hours?
[3 marks]D
Challenge & Real-World Application
Solve these challenging problems that apply proportional concepts in real life.
1.
A map scale shows that 1 cm represents 5 km. If the distance between two cities on the map is 7.5 cm, what is the actual distance?
[4 marks]2.
A factory produces 1200 units in 6 hours. If production is directly proportional to time, how many units will be produced in 10 hours?
[4 marks]Quick Actions
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Details
- Created
- 12/30/2025
- Updated
- 12/30/2025
- Type
- worksheet