Class 10 Geometric Progression Mock Test (ICSE)

Topics in Geometric Progression

• General term of a GP
• Sum of first n terms
• Geometric mean
• Word problems on GP

Geometric Progression practice questions with answers

1. Q1Multiple choice·1 mark
   Find the $7^{\text{th}}$ term of the geometric progression: $\frac{1}{8}, \frac{1}{4}, \frac{1}{2}, \dots$

   1. (a)$8$
   2. (b)$32$
   3. (c)$4$
   4. (d)$16$
   Show answer and step marks

   1. Correct option: (a) $8$+1

   Answer: (a)
2. Q2Multiple choice·1 mark
   Calculate the sum of the first $5$ terms of the geometric progression: $3, 6, 12, \dots$

   1. (a)$63$
   2. (b)$93$
   3. (c)$96$
   4. (d)$189$
   Show answer and step marks

   1. Correct option: (b) $93$+1

   Answer: (b)
3. Q3Multiple choice·1 mark
   The geometric mean of $2$ and $32$ is:

   1. (a)$8$
   2. (b)$4$
   3. (c)$64$
   4. (d)$16$
   Show answer and step marks

   1. Correct option: (a) $8$+1

   Answer: (a)
4. Q4Multiple choice·1 mark
   A bacterial culture doubles every $2$ hours. If there are $50$ bacteria initially, how many bacteria will be present after $6$ hours?

   1. (a)$400$
   2. (b)$1600$
   3. (c)$200$
   4. (d)$800$
   Show answer and step marks

   1. Correct option: (a) $400$+1

   Answer: (a)

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