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Class 8 Mathematics Chapter 7: Proportional Reasoning-1 — practice questions with answers

Free practice for Class 8 Mathematics, Chapter 7: Proportional Reasoning-1. Try the solved questions below, then take a free test with instant marking and explanations.

45 questions17 easy, 19 medium, 9 hardNCERT · CBSE · State boards

Sample questions with solutions

Q1. What is 60 : 40 in its simplest form?
  1. 3 : 2
  2. 6 : 4
  3. 2 : 3
  4. 30 : 20
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Answer: A. 3 : 2
Why: Divide both terms by 20. [p.161]
Q2. In the ratio a : b, the numbers a and b are called the ______ of the ratio.
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Answer: terms
Why: 60 and 40 are the terms of 60 : 40. [p.161]
Q3. When are two ratios said to be in proportion?
  1. When they are the same in their simplest forms
  2. When their first terms are equal
  3. When their sums are equal
  4. Always
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Answer: A. When they are the same in their simplest forms
Why: 60 : 40 :: 30 : 20 because both simplify to 3 : 2. [p.162]
Q4. 6 glasses of lemonade need 10 spoons of sugar. How many spoons for 18 glasses with the same sweetness?
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Answer: 30 (± 0)
Why: 6 : 10 :: 18 : 30. [p.163]
Q5. Share 42 in the ratio 4 : 3. What is the larger part?
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Answer: 24 (± 0)
Why: The whole is 4 + 3 = 7 groups of 6: 24 and 18. [p.174]
Q6. Share 12 counters in the ratio 3 : 1. How many does the first person get?
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Answer: 9 (± 0)
Why: 12 ÷ 4 = 3 per group: 9 and 3. [p.173]

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Frequently asked questions

How many practice questions are there for Class 8 Mathematics Chapter 7: Proportional Reasoning-1?

45 questions (17 easy, 19 medium, 9 hard). A few are solved on this page; the free test shows the answer and explanation for every question after you submit.

Is this chapter from the NCERT book?

Yes — it follows the NCERT Class 8 Mathematics syllabus, used by CBSE and many state boards.

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