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.In a G.P., the ratio between the sum of the first three terms and that of the first six terms is 125 : 152. Find its common ratio.
- A.3/5
- B.5/3
- C.27/125
- D.-3/5
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2.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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3.Find the fifth term from the end of the series 243, 81, 27, 9, ..., $ \frac{1}{729} $.
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4.Find three geometric means between $\frac{1}{3}$ and 432.
- A.$2, 12, 72$
- B.$6, 36, 216$
- C.$3, 18, 108$
- D.$1, 6, 36$
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5.If for a Geometric Progression (G.P.), the $p^{\text{th}}$, $q^{\text{th}}$ and $r^{\text{th}}$ terms are $a$, $b$ and $c$ respectively, which of the following equations must hold true?
- A.$(q - r) \log a + (r - p) \log b + (p - q) \log c = 0$
- B.$(q + r) \log a + (r + p) \log b + (p + q) \log c = 0$
- C.$(q - r) \log a + (r - p) \log b - (p - q) \log c = 0$
- D.$(q - r) a + (r - p) b + (p - q) c = 0$
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