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.What is the value of $x$ such that $x$, $x + 3$, $x + 9$ are first three terms of a GP?
- A.3
- B.5
- C.7
- D.9
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2.Find the seventh term of the G.P.: $\sqrt{3} + 1, 1, \frac{\sqrt{3} - 1}{2}, \dots$
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3.Find the common ratio of an infinite geometric progression (G.P.), where each term is ten times the sum of its succeeding terms.
- A.1/10
- B.1/11
- C.10/11
- D.1/9
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4.Find three numbers in geometric progression (G.P.) whose sum is 52 and the sum of whose product in pairs is 624. Which of the following sets of numbers satisfies these conditions?
- A.2, 8, 32 or 32, 8, 2
- B.4, 16, 64 or 64, 16, 4
- C.3, 12, 48 or 48, 12, 3
- D.6, 18, 54 or 54, 18, 6
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5.The sum of the first three terms of a geometric progression is $\frac{29}{10}$ and their product is 1. Which of the following correctly identifies the common ratio and the terms?
- A.Common ratio: $\frac{1}{2}$ or $2$, Terms: $\frac{1}{2}, 1, 2$ or $2, 1, \frac{1}{2}$
- B.Common ratio: $\frac{1}{3}$ or $3$, Terms: $\frac{1}{3}, 1, 3$ or $3, 1, \frac{1}{3}$
- C.Common ratio: $\frac{1}{4}$ or $4$, Terms: $\frac{1}{4}, 1, 4$ or $4, 1, \frac{1}{4}$
- D.Common ratio: $\frac{1}{5}$ or $5$, Terms: $\frac{1}{5}, 1, 5$ or $5, 1, \frac{1}{5}$
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