Skip to main content
Super TutorResources
Chapter 10 of 25
QuestionsNotesFlashcardsSummaryFormulasQuizConceptsSyllabusPlan
Important Questions

Direct and Inverse Variations

ICSE · Class 8 · Mathematics

Most important questions from Direct and Inverse Variations for ICSE Class 8 Mathematics board exam 2026. MCQs, short answer, and long answer questions with marks.

61 questions26 flashcards5 concepts

Interactive on Super Tutor

Studying Direct and Inverse Variations? Get the full interactive chapter.

Quizzes, flashcards, AI doubt-solver and a step-by-step study plan — built for important questions and more.

Try Super Tutor — Free

1,000+ Class 8 students started this chapter today

61 Questions·
multiple choicetrue falsemultiple correct

Sample Questions

1multiple choice
3 marks

If 78 men can do a work in 140 days, how many days will 42 men take to do the same work?

Show answer

260 days

This is inverse variation, so men × days is constant. 78 × 140 = 42 × d d = (78 × 140) / 42 First simplify 78/42 = 13/7. So d = 13 × 20 = 260 days. The answer is 260 days.

2multiple choice
3 marks

A and B together can finish a work in 15 days, B and C in 20 days, and C and A in 30 days. How long will all three take together?

Show answer

13 1/3 days

A + B work in 1 day = 1/15. B + C work in 1 day = 1/20. C + A work in 1 day = 1/30. Add all three: 2(A + B + C) = 1/15 + 1/20 + 1/30 = (4 + 3 + 2)/60 = 9/60 = 3/20. So A + B + C in 1 day = 3/40. Time taken = 40/3 = 13 1/3 days. So the correct answer is 13 1/3 days.

3multiple choice
3 marks

A can do 2/3 of a work in 12 days. In how many days will A complete the whole work?

Show answer

18 days

If A does 2/3 of the work in 12 days, then 1 whole work takes 12 ÷ (2/3). Divide by a fraction by multiplying by its reciprocal: 12 × 3/2 = 18. So A completes the whole work in 18 days.

4multiple choice
3 marks

A journey of 240 km costs ₹4,080. What will be the cost of a journey of 432 km?

Show answer

₹7,344

This is direct variation. Cost varies directly with distance. So 240/4080 = 432/x. Cross-multiply: 240x = 4080 × 432. Or use proportion: x = (432 × 4080)/240. Since 432/240 = 1.8, x = 4080 × 1.8 = 7344. So the cost is ₹7,344.

+57 more questions available

Practice All

Frequently Asked Questions

What are the important topics in Direct and Inverse Variations for ICSE Class 8 Mathematics?
Direct and Inverse Variations covers several key topics that are frequently asked in ICSE Class 8 board exams. Focus on the core concepts listed on this page and practise related questions to build confidence.
How to score full marks in Direct and Inverse Variations — ICSE Class 8 Mathematics?
Understand the core concepts first, then work through the 61 practice questions available for this chapter. Revise formulas and definitions regularly, and use flashcards for quick recall before the exam.
How many important questions are there in Direct and Inverse Variations?
There are 61 practice questions available for Direct and Inverse Variations. These cover multiple question types including MCQs, short answer, and long answer questions.

Sources & Official References

Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.

More resources for Direct and Inverse Variations

All 25 chapters — ICSE Class 8 Mathematics Important Questions

For serious students

Get the full Direct and Inverse Variations chapter — for free.

Quizzes, flashcards, AI doubt-solver and a step-by-step study plan for ICSE Class 8 Mathematics.

Try Super Tutor Free
Try the full chapter — Free