Class 10 · ICSE · Mathematics

Ratio and Proportion

Proportion, continued proportion, mean proportion, componendo and dividendo, alternendo and invertendo, and their applications.

Questions: 16
PYQs: 0
Topics: 2

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Continued and Mean Proportion1 Componendo and Dividendo0

Questions

16 questions in this chapter.

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Class 10 · Mathematics · Ratio and Proportion
If a : b = 2 : 3 and b : c = 4 : 5, then a : c is:
1 markMediumMCQ
Answer available
Class 10 · Mathematics · Ratio and Proportion
The triplicate ratio of 2 : 3 is:
1 markEasyMCQ
Answer available
Class 10 · Mathematics · Ratio and Proportion
If x : y = 2 : 3, find (5x + 2y) : (3x − y).
3 marksMediumNumerical
Answer available
Class 10 · Mathematics · Ratio and Proportion
Using componendo and dividendo, solve (x + 2)/(x − 2) = 9/5.
3 marksMediumNumerical
Answer available
Class 10 · Mathematics · Ratio and Proportion
Find the mean proportional between 9 and 16.
2 marksEasyNumerical
Answer available
Class 10 · Mathematics · Ratio and Proportion
Find the duplicate ratio of 3 : 4 and the sub-duplicate ratio of 25 : 36.
2 marksEasyNumerical
Answer available
Class 10 · Mathematics · Ratio and Proportion
Find the fourth proportional to 3, 5 and 12.
2 marksEasyNumerical
Answer available
Class 10 · Mathematics · Ratio and Proportion
Find the third proportional to 4 and 12.
2 marksEasyNumerical
Answer available
Class 10 · Mathematics · Ratio and Proportion
If a, b and c are in continued proportion, prove that b² = ac, and hence find b when a = 8 and c = 18 with b positive.
4 marksHardStructured
Answer available
Class 10 · Mathematics · Ratio and Proportion
If a : b = 3 : 4, find the value of (3a + 4b) : (5a − 2b).
3 marksMediumNumerical
Answer available
Class 10 · Mathematics · Ratio and Proportion
If a/b = c/d, prove that (a + b)/(a − b) = (c + d)/(c − d).
4 marksHardStructured
Answer available
Class 10 · Mathematics · Ratio and Proportion
A sum of ₹6,300 is divided among A, B and C in the ratio 2 : 3 : 4. Find each share.
3 marksMediumApplication based

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