Mastering Direct & Inverse Proportion
Mathematics
Grade 7
5 questions
~10 mins
0 views0 downloads
About This Worksheet
A worksheet covering the fundamentals and applications of Direct & Inverse Proportion for Grade 7 students.
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Mastering Direct & Inverse Proportion
Subject: MathematicsGrade: Grade 7
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Date:
Untitled Worksheet
Grade Grade 7
A
Introduction
Review the key concepts of direct and inverse proportion before attempting the questions.
1.
In direct proportion, if one quantity doubles, what happens to the other quantity?
[2 marks]2.
In inverse proportion, if one quantity doubles, what happens to the other?
[2 marks]3.
What is the general formula for direct proportion?
[2 marks]4.
What is the general formula for inverse proportion?
[2 marks]5.
If y is directly proportional to x, and y = 10 when x = 2, what is the constant of proportionality?
[3 marks]B
Procedural Questions
Answer these questions to check your understanding of direct and inverse proportion.
1.
A car travels 120 km in 3 hours. How far will it travel in 5 hours if the speed remains constant?
[3 marks]2.
The number of pages printed is directly proportional to the time taken. If 15 pages take 3 minutes, how many pages can be printed in 8 minutes?
[3 marks]3.
A recipe calls for 2 cups of sugar to make 12 cookies. How many cups are needed to make 30 cookies, assuming the ingredients scale proportionally?
[3 marks]4.
If the time taken to complete a task is inversely proportional to the number of workers, and it takes 4 workers 6 hours, how long will it take 8 workers?
[3 marks]5.
A cyclist's speed is inversely proportional to the time taken to travel a fixed distance. If the cyclist takes 4 hours at a certain speed, what time will they take if they increase their speed by 50%?
[3 marks]C
Reasoning & Application Questions
Use your understanding of proportion to solve these questions.
1.
A map scale shows that 1 cm represents 5 km. How many kilometers are represented by 7.5 cm on the map?
[3 marks]2.
A car's fuel efficiency is inversely proportional to its speed. If a car gets 40 mpg at 50 mph, what is its approximate fuel efficiency at 100 mph?
[3 marks]3.
A factory produces 200 units in 5 hours working at a steady rate. How many units can it produce in 8 hours at the same rate?
[3 marks]4.
The time taken to fill a tank is inversely proportional to the flow rate. If it takes 10 minutes at a flow rate of 3 liters per minute, how long will it take at 6 liters per minute?
[3 marks]5.
A worker’s efficiency is directly proportional to the number of hours worked. If 5 workers working 8 hours produce 400 units, how many units can 10 workers produce in 4 hours?
[3 marks]D
Challenge / Real-World Application
Solve these challenging problems that apply your knowledge to real-world scenarios.
1.
A photographer develops a new film processing technique where the processing time is inversely proportional to the concentration of chemicals used. If at a concentration of 2 units the processing takes 30 minutes, how long would it take at 4 units of concentration?
[4 marks]2.
A delivery service estimates that the time taken for deliveries is directly proportional to the distance traveled. If a delivery of 120 km takes 4 hours, how long will a delivery of 250 km take, assuming constant speed?
[4 marks]Quick Actions
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Details
- Created
- 12/30/2025
- Updated
- 12/30/2025
- Type
- worksheet