Indices - ICSE STD 9 MATHEMATICS Questions - Vidyadip

Question types

Indices question types

80 questions across 5 question groups — pick any mix to generate a MATHEMATICS paper with step-by-step answer keys.

80

Questions

5

Question groups

5

Question types

[1 Mark Question Answer]

[2 Mark Question Answer]

[3 marks sum]

[4 marks sum]

[5 marks sum]

Sample Questions

Indices questions

One sample from each question group in this chapter. Select any group above to see the full set with answer keys.

Q 1[1 Mark Question Answer]1 Mark

Evaluate the following: $\left(3^2\right)^2$

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Q 2[1 Mark Question Answer]1 Mark

Evaluate the following: $\left(2^3\right)^2$

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Q 3[1 Mark Question Answer]1 Mark

Evaluate the following: $\left(\frac{1}{2}\right)^{-3}$

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Q 4[1 Mark Question Answer]1 Mark

Evaluate the following $: 6^\circ $

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Q 5[2 Mark Question Answer]2 Marks

Solve for $x:p^3 \times p^{-2} = p^x$

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Q 6[2 Mark Question Answer]2 Marks

Solve for $x:1 = p^x$

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Q 7[2 Mark Question Answer]2 Marks

Simplify the following$:\frac{5^{ n +2}-6.5^{ n +1}}{13.5^{ n }-2.5^{ n +1}}$

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Q 8[2 Mark Question Answer]2 Marks

Evaluate the following$:\left(1-\frac{15}{64}\right)^{-\frac{1}{2}}$

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Q 9[2 Mark Question Answer]2 Marks

Simplify the following and express with positive index$:\left[\left( p ^{-3}\right)^{\frac{2}{3}}\right]^{\frac{1}{2}}$

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Q 10[3 marks sum]3 Marks

Solve for $x:9^{x+4}= 3^2 x (27)^{x+1}$

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Q 11[3 marks sum]3 Marks

Solve for $x:\sqrt{\left(\frac{3}{5}\right)^{x+3}}=\frac{27^{-1}}{125^{-1}}$

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Q 12[3 marks sum]3 Marks

Solve for $x:\sqrt{\left(8^0+\frac{2}{3}\right)}=(0.6)^{2-3 x}$

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Q 13[3 marks sum]3 Marks

Solve for $x:9 \times 81^x=\frac{1}{27^{x-3}}$

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Q 14[3 marks sum]3 Marks

Solve for $x :p ^{-5}=\frac{1}{ p ^{x+1}}$

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Q 15[4 marks sum]4 Marks

Solve for $x:5^{x2} : 5^x= 25 : 1$

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Q 16[4 marks sum]4 Marks

Solve for $x:9 \times 3^x=(27)^{2 x-5}$

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Q 17[4 marks sum]4 Marks

Simplify the following:$(81)^{\frac{3}{4}}-\left(\frac{1}{32}\right)^{-\frac{2}{5}}+8^{\frac{1}{3}} \cdot\left(\frac{1}{2}\right)^{-1} \cdot 2^0$

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Q 18[4 marks sum]4 Marks

Evaluate the following:$\sqrt{\frac{1}{4}}+(0.01)^{-\frac{1}{2}}-(27)^{\frac{2}{3}}$

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Q 19[4 marks sum]4 Marks

Evaluate the following:$(27)^{\frac{2}{3}} \times 8^{\frac{-1}{6}} \div 18^{\frac{-1}{2}}$

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Q 20[5 marks sum]5 Marks

Solve for $x:2^{2x- 1} -9 \times 2^{x - 2} + 1= 0$

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Q 21[5 marks sum]5 Marks

Solve for $x:2^{2x} + 2^{x +2} - 4 \times 2^3 = 0$

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Q 22[5 marks sum]5 Marks

Solve for $x:2^{2x+3} - 9 x 2^x+ 1 = 0$

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Q 23[5 marks sum]5 Marks

Solve for $x:2^{x+3}+2^{x+1}=320$

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Q 24[5 marks sum]5 Marks

Simplify the following:$\left(\frac{27}{343}\right)^{\frac{2}{3}} \div \frac{1}{\left(\frac{625}{1296}\right)^{\frac{1}{4}}} \times \frac{536}{\sqrt[3]{27}}$

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