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Ratio and Proportion — Flashcards

ICSE · Class 10 · Mathematics

33 flashcards for Ratio and Proportion (ICSE Class 10 Mathematics) to test yourself on key terms and facts. Sample: "Solve: Simplify the ratio 40:10."

35 questions33 flashcards15 formulas & key relations5 concepts

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A labeled diagram illustrating the components of a ratio (a:b) with 'a' as the antecedent and 'b' as the consequent.
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33 Flashcards·
Ratio simplificationRatio in contextRatio interpretationRatio conditionsReciprocal ratioDuplicate ratio
Card 1Ratio simplification

Solve: Simplify the ratio 40:10.

Answer

Step 1: Write the ratio as a fraction: 40/10. Step 2: Divide both terms by 10. Step 3: 40:10 = 4:1. Answer: 4:1 Check: 4 and 1 have no common factor other than 1, so the ratio is in lowest terms.

Card 2Ratio simplification

Solve: Express 16:20 in lowest terms.

Answer

Step 1: Find the common factor of 16 and 20. Step 2: Divide both terms by 4. Step 3: 16:20 = 4:5. Answer: 4:5 Check: Multiply both terms by 4 to return to 16:20.

Card 3Ratio in context

A man is 40 years old and his son is 10 years old. Find the ratio of their ages in simplest form.

Answer

Step 1: Write the ratio of ages: 40:10. Step 2: Divide both terms by 10. Step 3: 40:10 = 4:1. Answer: 4:1 Meaning: The man is 4 times as old as his son.

Card 4Ratio interpretation

If the ratio of the ages of A and B is 6:8, what does it mean algebraically?

Answer

Step 1: A ratio of 6:8 does not mean the ages are 6 and 8 years. Step 2: Let the common factor be x. Step 3: Then A = 6x and B = 8x. Answer: The ages are 6x and 8x years for some positive number x. Ch…

Card 5Ratio conditions

Can there be a ratio between 30 years and ₹60? Explain briefly.

Answer

Step 1: Ratio is formed only between quantities of the same kind. Step 2: 30 years and ₹60 are different kinds of quantities. Step 3: So no ratio is possible. Answer: No, because the quantities are of…

Card 6Reciprocal ratio

Find the reciprocal ratio of 3:4.

Answer

Step 1: Interchange antecedent and consequent. Step 2: Reciprocal ratio of 3:4 is 4:3. Answer: 4:3 Check: 3:4 and 4:3 are reciprocal ratios of each other.

Card 7Reciprocal ratio

Find the reciprocal ratio of 5:4 and verify the rule.

Answer

Step 1: Reciprocal ratio means reverse the terms. Step 2: 5:4 becomes 4:5. Step 3: Check by writing as fractions: 5/4 and 4/5 are reciprocals. Answer: 4:5 Important: The second term of a ratio cannot …

Card 8Duplicate ratio

Find the duplicate ratio of 3:4.

Answer

Step 1: Use the duplicate ratio rule: a²:b². Step 2: Square both terms: 3²:4² = 9:16. Answer: 9:16 Check: This is the duplicate ratio of 3:4.

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Frequently Asked Questions

What are the important topics in Ratio and Proportion for ICSE Class 10 Mathematics?
Key topics in Ratio and Proportion include Ratio: Meaning, Properties, and Important Points, Composition of Ratios, Proportion and Its Main Property, Continued Proportion, Mean Proportional, and Third Proportional. Study these first, then practise questions on each for the ICSE Class 10 board exam.
How many flashcards are available for Ratio and Proportion?
There are 33 flashcards for Ratio and Proportion covering key definitions, facts and ideas. A few sample cards are shown on this page.
How should I revise Ratio and Proportion for the ICSE Class 10 board exam?
Learn the core ideas first, then work through the 35 practice questions on Ratio and Proportion. Revise definitions regularly and use flashcards for quick recall before the exam.

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