Class 8 Mathematics — Chapter 7: Proportional Reasoning-1
72 practice questions · 24 Easy · 24 Medium · 24 Hard
Practise the most important Class 8 Mathematics questions from Chapter 7, "Proportional Reasoning-1" — 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-1" 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-1, 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-1 (Class 8 Mathematics)
This chapter is about comparing quantities that change together. A ratio compares two quantities by division, and equal ratios form a proportion. You learn to write ratios in simplest form, find equivalent ratios, and check proportions by cross-multiplication. The unitary method — first find the value of one unit, then scale up — solves direct-proportion problems, and you also share a quantity in a given ratio and convert between units, keeping quantities in the same units throughout.
- Ratio
- A comparison of two quantities of the same kind by division, written a : b and read 'a to b'. For 4 boys and 6 girls the ratio is 4 : 6.
- Simplest form of a ratio
- A ratio in which the two terms have no common factor except 1, found by dividing both terms by their HCF: 6 : 9 becomes 2 : 3.
- Same units first
- The two quantities in a ratio must be in the same unit before comparing, so 45 minutes to 1 hour is 45 : 60 = 3 : 4, not 45 : 1.
- Equivalent ratios
- Ratios with the same value, obtained by multiplying or dividing both terms by the same number: 1 : 2 = 5 : 10 = 50 : 100.
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Start this chapter free →Proportional Reasoning-1 — FAQs
What are the key concepts in Class 8 Mathematics Proportional Reasoning-1?+
This chapter is about comparing quantities that change together. A ratio compares two quantities by division, and equal ratios form a proportion. You learn to write ratios in simplest form, find equivalent ratios, and check proportions by cross-multiplication. The unitary method — first find the value of one unit, then scale up — solves direct-proportion problems, and you also share a quantity in a given ratio and convert between units, keeping quantities in the same units throughout. Key ideas include Ratio, Simplest form of a ratio, Same units first, Equivalent ratios.
What does Class 8 Mathematics Chapter 7 (Proportional Reasoning-1) cover on XamBaaz?+
It covers 72 NCERT-aligned MCQs on "Proportional Reasoning-1" — 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-1" questions free to practise?+
Yes — sign in with Google to practise "Proportional Reasoning-1" free. Full unlimited access is ₹999/year (limited-time launch price), with no per-chapter charges.
How should I revise "Proportional Reasoning-1" 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-1" 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-1" 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-1?+
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-1".