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.The sum of the first 3 terms of a geometric progression is 61/20 and their product is 1. Which of the following is one possible set of the first three terms?
- A.1/4, 1, 4
- B.5/4, 1, 4/5
- C.2/5, 1, 5/2
- D.1/5, 1, 5
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2.If the sum of $1 + 2 + 2^2 + \dots + 2^{n-1}$ is 255, find the value of $n$.
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3.The $4^{th}$ and the $7^{th}$ terms of a G.P. are $\frac{1}{27}$ and $\frac{1}{729}$ respectively. Which of the following expressions represents the sum of the first $n$ terms of this G.P.?
- A.$\frac{3}{2} \left[1 - \left(\frac{1}{3}\right)^n\right]$
- B.$\frac{1}{2} \left[1 - \left(\frac{1}{3}\right)^n\right]$
- C.$\frac{3}{2} \left[1 - \left(\frac{1}{9}\right)^n\right]$
- D.$3 \left[1 - \left(\frac{1}{3}\right)^n\right]$
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4.How many terms of the geometric progression $\sqrt{5}, 5, 5\sqrt{5}, 25, \ldots$ must be taken to obtain a sum of $780 + 156\sqrt{5}$?
- A.6
- B.7
- C.8
- D.9
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5.The product of the 3ʳᵈ and 8ᵗʰ terms of a geometric progression is 243. If its 4ᵗʰ term is 3, find its 7ᵗʰ term.
- A.9
- B.27
- C.81
- D.3
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