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 the sum of the G.P.: $1 - \frac{1}{3} + \frac{1}{3^2} - \frac{1}{3^3} + \dots$ to $n$ terms.
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2.How many terms of the geometric progression 3, 6, 12, ... must be taken to obtain a sum of 3069?
- A.8
- B.9
- C.10
- D.11
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3.If $a$, $b$, and $c$ are in arithmetic progression (AP), which of the following must be in geometric progression (GP)?
- A.$a^2, b^2, c^2$
- B.$3^a, 3^b, 3^c$
- C.$a + 3, b + 3, c + 3$
- D.$2a, 2b, 2c$
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4.For the G.P. $ \frac{1}{27}, \frac{1}{9}, \frac{1}{3}, \dots, 81 $, find the product of the fourth term from the beginning and the fourth term from the end.
- A.1
- B.3
- C.9
- D.27
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5.If the fourth, seventh, and tenth terms of a geometric progression are x, y, z respectively, which relationship must hold true?
- A.y = x + z
- B.y² = xz
- C.x² = yz
- D.z² = xy
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