Ratio and Proportion
ICSE · Class 10 · Mathematics
Flashcards for Ratio and Proportion — ICSE Class 10 Mathematics. Quick Q&A cards covering key concepts, definitions, and formulas.
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See them allSolve: 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.
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.
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.
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…
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…
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.
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 …
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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