Proportional Reasoning-1 — Class 8 MCQs with Answers
Class 8 CBSE Mathematics · Chapter 7
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 7, "Proportional Reasoning-1". 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-1", 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-1, 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-1 — 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
The ratio 6 : 9 written in simplest form is:
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Answer: 2 : 3
Explanation: Divide both terms by their HCF, 3: 6÷3 : 9÷3 = 2 : 3. Do not flip the order — 3 : 2 is a different ratio.
- Q2 of 6Easy
If 2 pens cost ₹10, one pen costs:
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Answer: ₹5
Explanation: Divide the total cost by the number of pens to get the unit cost: ₹10 ÷ 2 = ₹5.
- Q3 of 6Medium
If x : 8 = 3 : 4, find x.
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Answer: 6
Explanation: Cross-multiply: 4 × x = 3 × 8 = 24, so x = 24 ÷ 4 = 6.
- Q4 of 6Medium
Divide ₹100 between two people in the ratio 3 : 2. The larger share is:
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Answer: ₹60
Explanation: There are 3 + 2 = 5 equal parts worth ₹100 ÷ 5 = ₹20 each, so the larger share is 3 × 20 = ₹60.
- Q5 of 6Hard
If A : B = 2 : 3 and B : C = 4 : 5, then A : C is:
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Answer: 8 : 15
Explanation: Scale both ratios so B matches: A : B = 8 : 12 and B : C = 12 : 15, giving A : C = 8 : 15.
- Q6 of 6Hard
If 8 pens cost ₹96, how many pens can be bought for ₹156?
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Answer: 13
Explanation: One pen costs ₹96 ÷ 8 = ₹12, so ₹156 buys 156 ÷ 12 = 13 pens.
Proportional Reasoning-1 notes: key concepts (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.
- Proportion
- A statement that two ratios are equal, such as 2 : 3 = 4 : 6. The four quantities are said to be in proportion.
- Cross-multiplication rule
- In a proportion a : b = c : d, the product of the extremes equals the product of the means: a × d = b × c. This finds a missing term.
- Unitary method
- First find the value of one unit by dividing, then multiply for the number required: if 5 kg cost ₹250 then 1 kg is ₹50 and 8 kg is ₹400.
- Direct proportion
- Two quantities in direct proportion increase or decrease together so their ratio stays constant: double the cloth, double the cost.
- Dividing in a ratio
- To share a quantity in the ratio a : b, split it into (a + b) equal parts and give a parts to one share and b to the other.
- Proportional change / scaling
- Enlarging or reducing a figure multiplies every length by the same scale factor, so the shape stays similar — a 2 cm length becoming 6 cm has scale factor 3.
- Unit conversion
- Changing units uses fixed ratios: 1 m = 100 cm, 1 kg = 1000 g, and 72 km/h = 72 × 5/18 = 20 m/s.
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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, Proportion, Cross-multiplication rule.
What does Class 8 Mathematics Chapter 7 (Proportional Reasoning-1) cover on XamBaaz?+
It has 9 timed quizzes of NCERT-based MCQs on "Proportional Reasoning-1", 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-1" questions free to practise?+
Yes. Sign in with Google to practise "Proportional Reasoning-1" 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-1" 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-1" 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-1" 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-1 (Class 8 Mathematics)?+
The questions that matter most test Ratio, Simplest form of a ratio, Same units first, Equivalent ratios, Proportion, Cross-multiplication rule. 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-1?+
Yes — Class 8 Mathematics Proportional Reasoning-1 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-1 (Class 8 Mathematics)?+
Yes. This page has 6 solved questions on Proportional Reasoning-1, each with the correct answer and a short explanation. Sign in to practise this chapter as timed quizzes.