Ratio and Proportion - ICSE STD 10 Mathematics Questions

Q 1[1 Mark Question Answer]1 Mark

Find the reciprocal ratio of $\frac{1}{9}: 2$

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Q 2[1 Mark Question Answer]1 Mark

Find the reciprocal ratio of $3^2 : 4^2$

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Q 3[1 Mark Question Answer]1 Mark

Find the reciprocal ratio of 4 : 7

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Q 4[1 Mark Question Answer]1 Mark

Find the sub$-$triplicate ratio of $27a^3 : 64b^3$

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Q 5[1 Mark Question Answer]1 Mark

Find the sub$-$duplicate ratio of $9a^2 : 49b^2$

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Q 6[2 Mark Question Answer]2 Marks

If (ma + nb): b :: (mc + nd) : d, prove that a, b, c, d are in proportion.

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Q 7[2 Mark Question Answer]2 Marks

If $a : b :: c : d$, prove that $\frac{2 a+5 b}{2 a-5 b}=\frac{2 c+5 d}{2 c-5 d}$

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Q 8[2 Mark Question Answer]2 Marks

Find the mean proportion of: 8.1 and 2.5

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Q 9[2 Mark Question Answer]2 Marks

Find the mean proportion of: $\frac{1}{12}$ and $\frac{1}{75}$

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Q 10[2 Mark Question Answer]2 Marks

Find the mean proportion of: 5 and 80

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Q 11[3 marks sum]3 Marks

If (11a² + 13b²) (11c² – 13d²) = (11a² – 13b²)(11c² + 13d²), prove that a : b :: c : d.

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Q 12[3 marks sum]3 Marks

If (pa + qb) : (pc + qd) :: (pa – qb) : (pc – qd) prove that a : b : : c : d

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Q 13[3 marks sum]3 Marks

If (4a + 5b) (4c – 5d) = (4a – 5d) (4c + 5d), prove that a, b, c, d are in proporton.

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Q 14[3 marks sum]3 Marks

If $\frac{8 a-5 b}{8 c-5 a}=\frac{8 a+5 b}{8 c+5 d}$, prove that $\frac{a}{b}=\frac{c}{d}$

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Q 15[3 marks sum]3 Marks

If $\frac{5 x+7 y}{5 u+7 v}=\frac{5 x-7 y}{5 u-7 v}$, show that $\frac{x}{y}=\frac{u}{v}$

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Q 16[4 marks sum]4 Marks

If $x =\frac{8 a b}{ a + b }$ find the value of $\frac{x+4 a}{x-4 a}+\frac{x+4 b}{x-4 b}$

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Q 17[4 marks sum]4 Marks

If $x =\frac{2 a+b}{a+b}$ find the value of $\frac{x+a}{x-a}+\frac{x+b}{x-b}$

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Q 18[4 marks sum]4 Marks

If (a + 3b + 2c + 6d) (a – 3b – 2c + 6d) = (a + 3b – 2c – 6d) (a – 3b + 2c – 6d), prove that a : b :: c : d.

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Q 19[4 marks sum]4 Marks

Give $\frac{x^3+12 x}{6 x^2+8}=\frac{y^3+27 y}{9 y^2+27}$ Using componendo and dividendo find $x: y$.

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Q 20[4 marks sum]4 Marks

Given that $\frac{a^3+3 a b^2}{b^3+3 a^2 b}=\frac{63}{62}$. Using componendo and dividendo find $a: b$.

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Q 21MCQ1 Mark

The third proportional to $6 \frac{1}{4}$ and 5 is

A
4
B
$8 \frac{1}{2}$
C
3
D
none the these

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Q 22MCQ1 Mark

The fourth proportional to $3,4,5$ is

A
6
B
$\frac{20}{3}$
C
$\frac{15}{4}$
D
$\frac{12}{5}$

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Q 23MCQ1 Mark

If x, 12, 8 and 32 are in proportion, then the value of x is

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Q 24MCQ1 Mark

The ratio of number of edges of a cube to the number of its faces is

A
$2:1$
B
$1:2$
C
$3:8$
D
$8:3$

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Q 25MCQ1 Mark

A ratio equivalent to the ratio $\frac{2}{3}: \frac{5}{7}$ is

A
$4: 6$
B
$5:7$
C
$15:14$
D
$14:15$

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Ratio and Proportion question types

Ratio and Proportion questions

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Ratio and Proportion Mathematics - Ratio and Proportion

Ratio and Proportion question types

Ratio and Proportion questions

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