Proportional Reasoning-2 — Class 8 MCQs with Answers
Class 8 CBSE Mathematics · Chapter 10
9 timed quizzes · Easy, Medium and Hard · Updated
Jump to the 6 solved questions
Practise the most important Class 8 CBSE Mathematics questions from Chapter 10, "Proportional Reasoning-2". You get 9 timed quizzes of NCERT-based MCQs, with answers and explanations. The questions are split into Easy, Medium and 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 "Proportional Reasoning-2", 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 Proportional Reasoning-2, 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.
Proportional Reasoning-2 — 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
On a map with scale 1 : 1000, 1 cm on the map represents:
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Answer: 1000 cm on the ground
Explanation: A scale of 1 : 1000 means 1 map unit equals 1000 real units of the same kind, so 1 cm on the map stands for 1000 cm on the ground — not 100 cm, which would be a scale of 1 : 100.
- Q2 of 6Easy
The ratio 2 : 4 : 6 in simplest form is:
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Answer: 1 : 2 : 3
Explanation: Divide every term by the common factor 2: 2÷2 : 4÷2 : 6÷2 = 1 : 2 : 3. Simplifying a ratio means dividing all terms by the same number, not just some of them.
- Q3 of 6Medium
6 workers build a wall in 8 days. How long will 12 workers take?
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Answer: 4 days
Explanation: Workers × days stays constant for a fixed job: 6 × 8 = 48, so with 12 workers it takes 48 ÷ 12 = 4 days — doubling the workers halves the days, it doesn't double them to 16.
- Q4 of 6Medium
In a pie chart, a category with 30% has a sector angle of:
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Answer: 108°
Explanation: Convert percentage to angle by multiplying by 3.6° per percent: 30% × 3.6° = 108°. Writing 30° directly confuses the percentage figure with the angle.
- Q5 of 6Hard
₹3500 is divided among A, B, C where A : B = 2 : 3 and B : C = 4 : 5. A's share is:
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Answer: ₹800
Explanation: Scaling both ratios to a common B (=12) gives A : B : C = 8 : 12 : 15, or 35 equal parts of ₹100 each, so A's 8 parts are 8 × 100 = ₹800 — not ₹1200, from combining the ratios incorrectly.
- Q6 of 6Hard
12 workers finish a task in 10 days. How many workers are needed to finish it in 8 days?
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Answer: 15
Explanation: Workers × days is constant: 12 × 10 = 120, so finishing in 8 days needs 120 ÷ 8 = 15 workers — fewer days means more workers, not fewer, ruling out 9.6.
Proportional Reasoning-2 notes: key concepts (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.
- Workers and time
- The total work (workers × days) is fixed, so more workers finish in fewer days and fewer workers take longer.
- Map scale
- A ratio comparing map distance to real distance; on a 1 : 50000 map, 1 cm stands for 50000 cm = 500 m, so real = map length × scale.
- Multi-term ratio
- A ratio like a : b : c compares three quantities at once; 2 : 4 : 6 simplifies to 1 : 2 : 3, and the parts add to give the total number of shares.
- Dividing a whole in a ratio
- Split the total into (a + b + c) equal parts and give each item its number of parts: ₹600 in 1 : 2 : 3 gives ₹100, ₹200, ₹300.
- Pie chart
- A circle divided into sectors so that each sector's angle is proportional to its value; the whole circle (360°) represents 100% of the data.
- Sector angle
- The angle of a category equals (its value ÷ the total) × 360°, so a 30% category takes up 108°.
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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, Workers and time, Map scale.
What does Class 8 Mathematics Chapter 10 (Proportional Reasoning-2) cover on XamBaaz?+
It has 9 timed quizzes of NCERT-based MCQs on "Proportional Reasoning-2", at Easy, Medium and Hard levels, and you never get the same set twice. Every question has an instant explanation. They help you prepare 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. 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 "Proportional Reasoning-2" 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 "Proportional Reasoning-2" 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 "Proportional Reasoning-2" 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 Proportional Reasoning-2 (Class 8 Mathematics)?+
The questions that matter most test Direct proportion (recap), Inverse proportion, The x₁y₁ = x₂y₂ rule, Speed and time, Workers and time, Map scale. This page shows 6 solved important MCQs with answers and explanations. Sign in to practise this chapter as timed quizzes.
Is there an online quiz for Proportional Reasoning-2?+
Yes — Class 8 Mathematics Proportional Reasoning-2 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 Proportional Reasoning-2 (Class 8 Mathematics)?+
Yes. This page has 6 solved questions on Proportional Reasoning-2, each with the correct answer and a short explanation. Sign in to practise this chapter as timed quizzes.