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.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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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 $a$, $b$ 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.Show that $\frac{1}{a + b} + \frac{1}{b + c} = \frac{1}{b}$ by substituting $b^2 = ac$.
- B.Prove that $(a + b)(b + c) = 2b^2$ directly from the G.P. property.
- C.Demonstrate that $\frac{1}{a + b} = \frac{1}{b + c}$ using $b^2 = ac$.
- D.Verify that $\frac{1}{a + b} + \frac{1}{2b} = \frac{1}{b + c}$ by cross-multiplying terms.
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4.The fifth, eighth and eleventh terms of a geometric progression are $p$, $q$ and $r$ respectively. Which of the following must be true?
- A.$q^2 = pr$
- B.$p^2 = qr$
- C.$r^2 = pq$
- D.$p + q = q + r$
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5.If the first two consecutive terms of a G.P. are 125 and 25, find its 6ᵗʰ term.
- A.5
- B.1/5
- C.1/25
- D.1/125
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