ICSE Class 10 Geometric Progression — Mock Test (2027)
Free online mock test for Geometric Progression (ICSE Class 10 Mathematics) — 20 competency-based questions based on the latest CISCE 2027 syllabus, with instant marking. Try the samples below, then take the full test free.
What to expect: This mock test covers key concepts from the Geometric Progression chapter — including application-based and competency-focused questions aligned with how ICSE actually sets the paper.
Tip: Attempt without notes first to identify gaps, then review explanations for any wrong answers. Retake after a few days for best retention.
Sample questions
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1.Find three geometric means between $\frac{1}{3}$ and 432.
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2.Find the sum of the first 10 terms of the geometric progression: $1 + \sqrt{3} + 3 + 3\sqrt{3} + \dots$
- A.$121(\sqrt{3} + 1)$
- B.$242(\sqrt{3} - 1)$
- C.$121(3 + \sqrt{3})$
- D.$60(\sqrt{3} + 1)$
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3.If the first two consecutive terms of a G.P. are 125 and 25, find its $6^{\text{th}}$ term.
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4.If $a, b$ and $c$ are in G.P., which of the following proves that $\frac{1}{a + b}, \frac{1}{2b}$ and $\frac{1}{b + c}$ are in A.P.?
- A.$\frac{1}{a + b} + \frac{1}{b + c} = \frac{1}{b}$
- B.$\frac{1}{a + b} + \frac{1}{b + c} = \frac{2}{b}$
- C.$\frac{1}{a + b} \times \frac{1}{b + c} = \frac{1}{b^2}$
- D.$\frac{1}{a + b} - \frac{1}{b + c} = \frac{1}{b}$
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5.If the sum of $1 + 2 + 2^2 + \dots + 2^{n-1}$ is 255, find the value of $n$.
- A.7
- B.8
- C.9
- D.128
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