Chapter 7 (Balbharati) · Class 8 Maharashtra SSC · Free Worksheet PDF

Variation (चलन) Sums for Class 8 — Free Maharashtra SSC Worksheet PDF with Answers

Download a free printable variation (चलन) worksheet for Class 8 Maharashtra SSC with 30 practice questions covering variation (चलन) concepts, practice problems, and word problems with step-by-step solutions. Includes complete answer key. Maharashtra SSC-aligned for the 2025-26 syllabus.

Last updated: 5 May 2026

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

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Sample Variation (चलन) Sums for Class 8 — Practice Questions

Here are 8 sample variation (चलन) sums from this Class 8 Maharashtra SSC worksheet. Download the full PDF for all 30 questions with answers.

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

TopicVariation (चलन)
BoardMaharashtra SSC
Class8
Total Questions30 (10 Easy + 10 Medium + 10 Hard)
Answer KeyIncluded
PriceFree

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Frequently Asked Questions

Where can I download free variation (चलन) sums for Class 8?+
You can download a free Variation (चलन) PDF worksheet for Class 8 Maharashtra SSC right here on SparkEd. The worksheet includes 30 practice questions (variation (चलन) concepts, practice problems, and word problems with step-by-step solutions) at easy, medium, and hard levels with a complete answer key.
How many variation (चलन) questions are in this Class 8 worksheet?+
This SparkEd worksheet for Variation (चलन) Class 8 contains 30 questions — 10 easy, 10 medium, and 10 hard. The questions cover variation (चलन) concepts, practice problems, and word problems with step-by-step solutions. A fresh set is generated daily so students never repeat the same sheet.
Does the Variation (चलन) worksheet for Class 8 include answers?+
Yes! Every SparkEd worksheet comes with a complete answer key. Students can self-check their work after completing the sheet. The PDF is free to download and print.
Is this variation (चलन) worksheet aligned to Maharashtra SSC syllabus?+
Yes. This worksheet is specifically designed for Class 8 Maharashtra SSC students and aligned to the 2025-26 Maharashtra SSC syllabus. All questions follow the Maharashtra SSC exam pattern and difficulty level.
Can I print this Variation (चलन) worksheet?+
Absolutely! The worksheet downloads as an A4-size PDF that is ready to print. It includes the questions, space for working, and a separate answer key — perfect for classroom use or home practice.
How is this worksheet different from NCERT textbook exercises?+
SparkEd worksheets go beyond NCERT exercises by providing 30 questions at 3 progressive difficulty levels. Level 1 (Easy) builds confidence, Level 2 (Medium) tests application, and Level 3 (Hard) prepares for exams. Each worksheet includes word problems and conceptual questions, not just computation.
Does this worksheet include variation (चलन) word problems?+
Yes! The worksheet includes both computation-based questions and real-world word problems. Word problems are especially important for Maharashtra SSC exams, and our worksheet covers a variety of scenarios to build problem-solving skills.

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