Chapter Exam

Chapter 3: Ratio and Proportion — Online MCQ Test

Q: What is the definition of a ratio?

Answer: A. A comparison of two quantities by division — A ratio is a way to compare two quantities using division, expressed as a:b or a/b.

Q: Express the ratio 15:25 in its simplest form.

Answer: A. 3:5 — Divide both terms by their GCD which is 5: 15÷5 = 3 and 25÷5 = 5, giving 3:5.

Q: A recipe requires flour and sugar in the ratio 3:2. If 6 cups of flour are used, how much sugar is needed?

Answer: C. 4 cups — If flour:sugar = 3:2 and flour = 6, then 3x = 6 gives x = 2. So sugar = 2×2 = 4 cups.

Q: Which is NOT a property of proportion?

Answer: C. If a:b = c:d, then a:b = d:c — The property a:b = d:c is not valid. Valid proportions maintain their equality relationship, not reverse the ratios.

Q: If a:b = 3:4 and b:c = 5:6, find a:b:c.

Answer: A. 15:20:24 — From a:b = 3:4, let a=3k, b=4k. From b:c = 5:6, 4k:c = 5:6, so c = 24k/5. To make integers, let k=5: a=15, b=20, c=24. Thus a:b:c = 15:20:24.

MATHS · Samacheer Kalvi 6th · Tamil Nadu State Board

Practice Chapter 3: Ratio and Proportion with a free chapter-wise online MCQ test for Tamil Nadu State Board Samacheer Kalvi 6th MATHS. This chapter covers: Ratio, Comparison, Order of terms, Proportion, Unitary method. AI-generated questions from basic to board-exam level, with instant results and explanations.

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Chapter 3: Ratio and Proportion — Important Questions & Answers (FAQ)

Frequently asked questions from Tamil Nadu State Board Samacheer Kalvi 6th MATHS — Chapter 3: Ratio and Proportion, with answers and explanations. These are sample questions; the exam has its own separate question set.

What is the definition of a ratio?

A. A comparison of two quantities by division ✓
B. A sum of two quantities
C. A product of two quantities
D. A difference between two quantities

Answer: A. A comparison of two quantities by division
A ratio is a way to compare two quantities using division, expressed as a:b or a/b.

Express the ratio 15:25 in its simplest form.

A. 3:5 ✓
B. 5:3
C. 15:25
D. 30:50

Answer: A. 3:5
Divide both terms by their GCD which is 5: 15÷5 = 3 and 25÷5 = 5, giving 3:5.

A recipe requires flour and sugar in the ratio 3:2. If 6 cups of flour are used, how much sugar is needed?

A. 2 cups
B. 3 cups
C. 4 cups ✓
D. 9 cups

Answer: C. 4 cups
If flour:sugar = 3:2 and flour = 6, then 3x = 6 gives x = 2. So sugar = 2×2 = 4 cups.

Which is NOT a property of proportion?

A. If a:b = c:d, then a+b:b = c+d:d
B. If a:b = c:d, then a-b:b = c-d:d
C. If a:b = c:d, then a:b = d:c ✓
D. If a:b = c:d, then a:c = b:d

Answer: C. If a:b = c:d, then a:b = d:c
The property a:b = d:c is not valid. Valid proportions maintain their equality relationship, not reverse the ratios.

If a:b = 3:4 and b:c = 5:6, find a:b:c.

A. 15:20:24 ✓
B. 3:4:5
C. 9:12:15
D. 12:15:18

Answer: A. 15:20:24
From a:b = 3:4, let a=3k, b=4k. From b:c = 5:6, 4k:c = 5:6, so c = 24k/5. To make integers, let k=5: a=15, b=20, c=24. Thus a:b:c = 15:20:24.