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Indices MATHEMATICS - Indices

ICSE - STD 9 - MATHEMATICS (ICSE - English Medium). 158 questions in this chapter.

Question types

Indices question types

158 questions across 4 question groups — pick any mix to generate a MATHEMATICS paper with step-by-step answer keys.

158
Questions
4
Question groups
5
Question types
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 11[4 marks sum]4 Marks
If $1960=2^a \times 5^b \times 7^c$, find the values of $a, b, c$.
Hence, calculate the value of $\left(2^{-a} \times 5^{-c} \times 7^b\right)$.
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Q 16MCQ1 Mark
Which of the following is equal to 1 ?
  • A
    $15^2+15^{-2}$
  • B
    $15^2-15^{-2}$
  • ✓
    $15^2 \times 15^{-2}$
  • D
    $\frac{15^2}{15^{-2}}$

Answer: C.

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Q 18MCQ1 Mark
The value of $\left(2^{-1} \times 2^2 \times 2^{-3} \times 2^4 \times 2^{-5} \times 2^6 \times 2^{-7} \times 2^8 \times 2^{-9} \times 2^{10}\right)^{-1}$ is :
  • A
    2
  • B
    16
  • ✓
    $\frac{1}{32}$
  • D
    32

Answer: C.

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Q 19MCQ1 Mark
The value of $4.2 \times 10^{-15}+42 \times 10^{-16}+4.2 \times 10^{-14}$ is :
  • A
    $5 \times 10^{-14}$
  • B
    $5.4 \times 10^{-15}$
  • ✓
    $5.04 \times 10^{-14}$
  • D
    $5.04 \times 10^{-15}$

Answer: C.

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Q 20MCQ1 Mark
On simplifying $\left[5\left(8^{\frac{1}{3}}+27^{\frac{1}{3}}\right)^3\right]^{\frac{1}{4}}$, we get:
  • ✓
    5
  • B
    $\sqrt{5}$
  • C
    10
  • D
    1

Answer: A.

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