Chapter 7 · Class 8 CBSE · Worksheet

Direct & Inverse Proportions Worksheet — Class 8 CBSE Maths

Download a free printable worksheet with 30 questions at 3 difficulty levels. Includes full answer key.

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30 questions (Easy + Medium + Hard) with answer key. Fresh set generated daily.

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Sample Questions — Direct & Inverse Proportions

Here are 8 sample questions from this worksheet. Download the full PDF for all 30 questions.

Q1.Which of the following statements is TRUE regarding two quantities, x and y, that are directly proportional?

A.As x increases, y decreases.

B.The ratio x/y remains constant.

C.The product x × y remains constant.

D.Their sum x + y remains constant.

Difficulty: Easy

Q2.Which of the following scenarios represents a direct proportion?

A.The speed of a car and the time it takes to cover a fixed distance.

B.The number of workers and the time taken to complete a fixed amount of work.

C.The amount of petrol filled in a car and the distance covered by the car.

D.The number of articles purchased and the discount received per article.

Difficulty: Easy

Q3.If the cost of 5 notebooks is ₹125, what will be the cost of 8 such notebooks?

A.₹150

B.₹175

C.₹200

D.₹225

Difficulty: Easy

Q4.Rohan wanted to find the value of y when x=12, given that x and y are directly proportional. He knew that when x=4, y=10. His working was: (4 × 10) = (12 × y) => 40 = 12y => y = 40/12 = 10/3. What mistake did Rohan make?

A.He should have used (x + y) = constant.

B.He incorrectly assumed x and y are inversely proportional.

C.He made a calculation error in the final step.

D.He should have set up the equation as (4/10) = (12/y).

Difficulty: Easy

Q5.Which of the following statements is TRUE regarding two quantities, P and Q, that are inversely proportional?

A.As P increases, Q also increases proportionally.

B.The ratio P/Q remains constant.

C.The product P × Q remains constant.

D.Their difference P - Q remains constant.

Difficulty: Easy

Q6.Which of the following situations describes an inverse proportion?

A.The number of hours worked and the wages earned.

B.The area of a square and its side length.

C.The speed of a train and the time taken to cover a fixed distance.

D.The number of items bought and the total cost.

Difficulty: Easy

Q7.A car takes 3 hours to travel a certain distance at a speed of 60 km/h. How much time will it take to travel the same distance at a speed of 90 km/h?

A.1 hour

B.2 hours

C.4 hours

D.4.5 hours

Difficulty: Easy

Q8.Consider the problem: '15 workers can build a wall in 48 hours. How many workers will be required to build the same wall in 30 hours?' Student A used (15/48) = (x/30). Student B used (15 × 48) = (x × 30). Which student chose the correct method and why?

A.Student A, because workers and time are directly proportional.

B.Student B, because workers and time are inversely proportional.

C.Student A, because the ratio of workers to time should be constant.

D.Both are incorrect; a different method is needed.

Difficulty: Easy

Answer Key — Sample Questions+

Q1:The ratio x/y remains constant.

Q2:The amount of petrol filled in a car and the distance covered by the car.

Q3:₹200

Q4:He incorrectly assumed x and y are inversely proportional.

Q5:The product P × Q remains constant.

Q6:The speed of a train and the time taken to cover a fixed distance.

Q7:2 hours

Q8:Student B, because workers and time are inversely proportional.

Download the full PDF for all 30 answers with step-by-step solutions.

About This Worksheet

Topic	Direct & Inverse Proportions
Board	CBSE
Class	8
Total Questions	30 (10 Easy + 10 Medium + 10 Hard)
Answer Key	Included
Price	Free

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Frequently Asked Questions

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Each SparkEd worksheet for Direct & Inverse Proportions contains 30 questions — 10 easy, 10 medium, and 10 hard. A fresh set is generated daily so you never repeat the same sheet.

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Yes. Every SparkEd worksheet comes with a separate answer key so students can self-check their work after completing the sheet.

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