Class 8 Mathematics — Chapter 10: Proportional Reasoning-2
72 practice questions · 24 Easy · 24 Medium · 24 Hard
Practise the most important Class 8 Mathematics questions from Chapter 10, "Proportional Reasoning-2" — 72 NCERT-aligned multiple-choice questions with answers and explanations. The set is split into 24 Easy, 24 Medium and 24 Hard, so you can warm up on the fundamentals and then push into the exam-level problems that separate top scorers in CBSE Board exams.
"Proportional Reasoning-2" 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 (+4 correct, −1 wrong, 0 skipped), training the same negative-marking 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 Proportional Reasoning-2, 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 sample question is shown below; sign in free to see its answer and practise all 72.
Key concepts: Proportional Reasoning-2 (Class 8 Mathematics)
This chapter deepens proportional reasoning. Alongside direct proportion it introduces inverse proportion, where two quantities move in opposite directions and their product stays constant — as with speed and time, or workers and days. You also read map scales, work with ratios of three or more terms, divide a whole in a given ratio, and turn data into a pie chart, where every sector's angle is proportional to the value it stands for.
- Direct proportion (recap)
- Two quantities in direct proportion increase or decrease together and their ratio stays constant: double the amount, double the cost.
- Inverse proportion
- Two quantities in inverse proportion move in opposite directions — as one increases the other decreases — and their product stays constant, like speed and time for a fixed distance.
- The x₁y₁ = x₂y₂ rule
- For inversely proportional quantities the product is fixed, so x₁ × y₁ = x₂ × y₂; this solves problems like '6 workers, 8 days → 12 workers, ? days'.
- Speed and time
- For a fixed distance, speed × time is constant, so travelling faster takes proportionally less time — a classic inverse proportion.
Try a sample question
One free sample from this chapter — sign in to check your answer and practise the rest.
6 workers build a wall in 8 days. How long will 12 workers take?
Unlock the full chapter — free
See the answer and solution to this question, then practise all 72 questions (24 Easy · 24 Medium · 24 Hard) with timed scoring and instant feedback, plus the complete key-concept notes, formulas & exam tips. Sign in with Google — no card needed.
Start this chapter free →Proportional Reasoning-2 — FAQs
What are the key concepts in Class 8 Mathematics Proportional Reasoning-2?+
This chapter deepens proportional reasoning. Alongside direct proportion it introduces inverse proportion, where two quantities move in opposite directions and their product stays constant — as with speed and time, or workers and days. You also read map scales, work with ratios of three or more terms, divide a whole in a given ratio, and turn data into a pie chart, where every sector's angle is proportional to the value it stands for. Key ideas include Direct proportion (recap), Inverse proportion, The x₁y₁ = x₂y₂ rule, Speed and time.
What does Class 8 Mathematics Chapter 10 (Proportional Reasoning-2) cover on XamBaaz?+
It covers 72 NCERT-aligned MCQs on "Proportional Reasoning-2" — 24 Easy, 24 Medium and 24 Hard — each with a timed quiz and an instant explanation, suitable for CBSE Board exams.
Are these "Proportional Reasoning-2" questions free to practise?+
Yes — sign in with Google to practise "Proportional Reasoning-2" free. Full unlimited access is ₹999/year (limited-time launch price), with no per-chapter charges.
How should I revise "Proportional Reasoning-2" 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.
Are these "Proportional Reasoning-2" MCQs available with answers?+
Yes. This page shows one sample question so you can see the format; sign in free with Google to reveal the correct option and a step-by-step "Why" explanation for it, then practise all 72 questions with instant scoring.
Is there negative marking in the "Proportional Reasoning-2" quizzes?+
Yes — the timed quizzes use exam-grade marking: +4 for a correct answer, −1 for a wrong one and 0 for a skipped question, so you practise the same negative-marking discipline as CBSE Board exams.
Are these important questions for Proportional Reasoning-2?+
The set is curated to the NCERT syllabus and weighted toward the question patterns that actually appear in CBSE Board exams, across Easy, Medium and Hard — so it doubles as an "important questions" revision list for "Proportional Reasoning-2".