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.If the $4^{\text{th}}$ and $9^{\text{th}}$ terms of a G.P. are 54 and 13122 respectively, find the G.P. Also, find its general term.
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2.Find the $10^{\text{th}}$ term of the G.P.: $12, 4, 1\frac{1}{3}, \dots$
- A.$\frac{4}{729}$
- B.$\frac{12}{19683}$
- C.$\frac{4}{2187}$
- D.$\frac{1}{729}$
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3.Find the sum of the first $n$ terms of the series: $5 + 55 + 555 + \dots$. Which of the following expressions represents this sum?
- A.$\frac{5}{9} (10^n - 1) - \frac{5}{9} n$
- B.$\frac{50}{81} (10^n - 1) - \frac{5}{9} n$
- C.$\frac{5}{9} (10^{n+1} - 1) - 5n$
- D.$\frac{50}{9} (10^{n-1} - 1) - \frac{5}{9} n$
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4.The first and second terms of a geometric progression are $x^{-4}$ and $x^{m}$ respectively. If its $8^{th}$ term is $x^{52}$, what is the value of $m$?
- A.2
- B.3
- C.4
- D.5
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5.Find the seventh term from the end of the series: $ \sqrt{2}, 2, 2\sqrt{2}, \dots, 32 $.
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