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 next three terms of the sequence: $36, 12, 4, \dots$
- A.$\frac{4}{3}, \frac{4}{9}, \frac{4}{27}$
- B.$4, 2, 1$
- C.$\frac{1}{3}, \frac{1}{9}, \frac{1}{27}$
- D.$12, 4, \frac{4}{3}$
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2.If the $3^{\text{rd}}$ term of a G.P. is 4, find the product of its first five terms.
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3.If $a, b, c$ are in arithmetic progression (A.P.) as well as in geometric progression (GP), what is the value of $a^{b - c} + b^{c - a} + c^{a - b}$?
- A.0
- B.1
- C.3
- D.6
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4.For what value of $x$, the numbers $-\frac{5}{7}$, $x$, $-\frac{7}{5}$ are in GP?
- A.$\pm 3$
- B.$\pm 2$
- C.$\pm 4$
- D.$\pm 1$
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5.What is the sum $n$ terms of GP 5, $\frac{20}{7}, \frac{80}{49}, \ldots$
- A.$\frac{3}{35} \left[1 - \left(\frac{4}{7}\right)^n\right]$
- B.$\frac{3}{35} \left[1 - \left(\frac{4}{7}\right)^{40}\right]$
- C.$\frac{35}{3} \left[1 - \left(\frac{4}{7}\right)^n\right]$
- D.$\frac{35}{3} \left[1 - \left(\frac{4}{7}\right)^{n-1}\right]$
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