Class 8 Mathematics — Chapter 11: Direct and Inverse Proportions
72 practice questions · 24 Easy · 24 Medium · 24 Hard
Practise Class 8 Mathematics Chapter 11, "Direct and Inverse Proportions", with 72 NCERT-aligned multiple-choice questions. The set is split into 24 Easy, 24 Medium and 24 Hard questions, so you can warm up on the fundamentals and then push into the exam-level problems that separate top scorers in CBSE Board exams.
"Direct and Inverse Proportions" is one of the chapters where problem-solving speed, formula recall and step-by-step reasoning really pays off. Each MCQ on this chapter is timed and uses exam-grade marking (+2 correct, −1 wrong, 0 skipped), training the same accuracy-under-pressure that real papers demand. Every question carries a short explanation, so a wrong answer becomes a quick lesson rather than a dead end — the fastest way to close gaps before a test.
Use this chapter as targeted revision: attempt the Easy set first to confirm your basics on Direct and Inverse Proportions, then move to Medium and Hard to test application and problem-solving. Your accuracy, streaks and XP save automatically, and the chapter feeds into your overall Class 8 Mathematics mastery score. A few sample questions are shown below; sign in free to practise all 72.
Key concepts: Direct and Inverse Proportions (Class 8 Mathematics)
This chapter covers direct and inverse proportion and how to use them to solve real-life problems including time-and-work.
- Direct proportion
- Two quantities are in direct proportion if they increase or decrease together so that x/y stays constant.
- Inverse proportion
- Two quantities are in inverse proportion if one increases as the other decreases so that their product xy stays constant.
- Identifying the type
- Decide whether more of one means more (direct) or less (inverse) of the other before solving.
- Time and work
- More workers take less time — an inverse-proportion application.
- Unitary method link
- Proportion problems can also be solved by first finding the value for one unit.
Key formulas — Direct and Inverse Proportions
💡 Exam tips for Direct and Inverse Proportions
- Direct: ratio x/y stays constant. Inverse: product xy stays constant — pick the right relation first.
- Time-and-work and speed problems are usually inverse proportion.
Sample questions
If x and y are in direct proportion:
y = kx; ratio constant.
5 books cost ₹250. Cost of 8 books:
(250/5)·8 = 400.
If 3 m of cloth costs ₹150, then ₹500 will buy:
Per m = 50; 500/50 = 10 m.
Direct and Inverse Proportions — FAQs
What are the key concepts in Class 8 Mathematics Direct and Inverse Proportions?+
This chapter covers direct and inverse proportion and how to use them to solve real-life problems including time-and-work. Key ideas include Direct proportion, Inverse proportion, Identifying the type, Time and work, Unitary method link.
What does Class 8 Mathematics Chapter 11 (Direct and Inverse Proportions) cover on XamBaaz?+
It covers 72 NCERT-aligned MCQs on "Direct and Inverse Proportions" — 24 Easy, 24 Medium and 24 Hard — each with a timed quiz and an instant explanation, suitable for CBSE Board exams.
Are these "Direct and Inverse Proportions" questions free to practise?+
Yes — sign in with Google to practise "Direct and Inverse Proportions" free. Full unlimited access is ₹999/year (limited-time launch price), with no per-chapter charges.
How should I revise "Direct and Inverse Proportions" for the exam?+
Start with the Easy quiz to confirm your fundamentals, then attempt Medium and Hard for application-level practice. Review each explanation, retry the questions you miss, and track your accuracy on this chapter until it is consistently high.
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