Direct and Inverse Proportions — Class 8 MCQs with Answers
Class 8 CBSE Mathematics · Chapter 111
Pre-2026 syllabusThis chapter is from the older NCERT book. See the 2026-27 Class 8 Mathematics chapters →
72 practice questions · 24 Easy · 24 Medium · 24 Hard · Updated
Jump to the 6 solved questions
Practise the most important Class 8 CBSE Mathematics questions from Chapter 111, "Direct and Inverse Proportions". You get 9 timed quizzes made from 72 NCERT-based MCQs, with answers and explanations. The questions are split into 24 Easy, 24 Medium and 24 Hard. Warm up on the basics, then move on to the exam-level questions that top scorers in CBSE Board exams get right.
To score well in "Direct and Inverse Proportions", focus on fast problem-solving, formula recall and step-by-step working. Each MCQ here is timed and uses exam-style marking (+4 correct, −1 wrong, 0 skipped). This helps you stay accurate when time is short, just as real papers need. Every question has a short explanation, so a wrong answer becomes a quick lesson. It is the fastest way to fix gaps before a test.
Use this chapter for focused revision. Start with the Easy set to check your basics on Direct and Inverse Proportions, then move to Medium and Hard to practise applying them. Your accuracy, streaks and XP save automatically. This chapter also adds to your overall Class 8 Mathematics mastery score. Try the 6 sample questions below: tap an option to see the answer and a worked explanation. Sign in free to start practising.
Direct and Inverse Proportions — important questions & MCQs with answers (Class 8 Mathematics)
6 solved questions from this chapter's difficulty levels, each with its answer and explanation. Tap an option to check yourself.
0 of 6 answered
- Q1 of 6Easy
If x and y are in direct proportion:
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Answer: x/y is constant
Explanation: y = kx; ratio constant.
- Q2 of 6Easy
Inverse proportion: as x increases, y:
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Answer: Decreases (xy = constant)
Explanation: xy = k.
- Q3 of 6Medium
5 books cost ₹250. Cost of 8 books:
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Answer: ₹400
Explanation: (250/5)·8 = 400.
- Q4 of 6Medium
6 workers complete a job in 10 days. 12 workers will take:
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Answer: 5 days
Explanation: More workers → less time (inverse). 6·10 = 12·t ⇒ t=5.
- Q5 of 6Hard
If 3 m of cloth costs ₹150, then ₹500 will buy:
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Answer: 10 m
Explanation: Per m = 50; 500/50 = 10 m.
- Q6 of 6Hard
A car at 60 km/h takes 5 h. At 75 km/h, time:
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Answer: 4 h
Explanation: 60·5 = 75·t ⇒ t = 4.
Direct and Inverse Proportions notes: key concepts (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.
Start this chapter free
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This chapter has 72 questions (24 Easy · 24 Medium · 24 Hard), with timed scoring and instant feedback. The rest unlock with the ₹999/year plan.
Start with the questions above. The full quiz opens here after.
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 111 (Direct and Inverse Proportions) cover on XamBaaz?+
It has 72 NCERT-based MCQs on "Direct and Inverse Proportions": 24 Easy, 24 Medium and 24 Hard. Together they make 9 timed quizzes, and you never get the same set twice. Every question has an instant explanation. They help you prepare 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. One year from the day you pay. You stay in Class 8 till 31 March; on 1 April your account moves up to Class 9 and the rest of your year carries over. No chapter is charged separately.
How should I revise "Direct and Inverse Proportions" for the exam?+
Start with the Easy quiz to check your basics, then try Medium and Hard to practise applying them. There are 9 timed quizzes on this chapter, so you can come back for a fresh set instead of one you have seen. Read each explanation, retry the questions you miss, and track your accuracy until it stays high.
Are these "Direct and Inverse Proportions" MCQs available with answers?+
Yes. 6 sample questions are on this page with answers: tap an option, or "Show answer", to see the correct option and a step-by-step explanation. Sign in free with Google to start practising, with instant scoring.
Is there negative marking in the "Direct and Inverse Proportions" quizzes?+
Yes. The timed quizzes use exam-style marking: +4 for a right answer, −1 for a wrong one and 0 for a skip. MHT-CET and CBSE board papers have no negative marking. Our mocks for those are scored their way.
What are the important questions from Direct and Inverse Proportions (Class 8 Mathematics)?+
The questions that matter most test Direct proportion, Inverse proportion, Identifying the type, Time and work, Unitary method link. This page shows 6 solved important MCQs with answers and explanations. Sign in to practise all 72 questions on the chapter as timed quizzes.
Is there an online quiz for Direct and Inverse Proportions?+
Yes — Class 8 Mathematics Direct and Inverse Proportions has timed online quizzes at Easy, Medium and Hard levels, with instant scoring and a worked explanation on every question. The first quiz on the chapter is free.
Are there question answers and extra questions for Direct and Inverse Proportions (Class 8 Mathematics)?+
Yes. This page has 6 solved questions on Direct and Inverse Proportions, each with the correct answer and a short explanation. Sign in to practise all 72 questions on the chapter as timed quizzes.