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 third term from the end of the G.P. $ \frac{2}{27}, \frac{2}{9}, \frac{2}{3}, \dots, 162 $.
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2.Find the seventh term of the G.P.: $1, \sqrt{3}, 3, 3\sqrt{3}, \dots$
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3.If $a^{\frac{1}{x}} = b^{\frac{1}{y}} = c^{\frac{1}{z}}$ and $a, b, c$ are in Geometric Progression (G.P.), which of the following must be true about $x, y, z$?
- A.$x, y, z$ are in G.P.
- B.$x, y, z$ are in Arithmetic Progression (A.P.)
- C.$x + y + z = 0$
- D.$y^2 = xz$
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4.Find the sum of the geometric series: $1, \frac{1}{2}, \frac{1}{4}, \frac{1}{8}, \dots$ upto 12 terms.
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5.Find the sum of the G.P.: $1 - \frac{1}{2} + \frac{1}{4} - \frac{1}{8} + \dots$ to 9 terms.
- A.$\frac{171}{256}$
- B.$\frac{170}{256}$
- C.$\frac{341}{512}$
- D.$-\frac{171}{256}$
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