ICSE Class 10

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

  1. 1.Find the seventh term from the end of the series: $ \sqrt{2}, 2, 2\sqrt{2}, \dots, 32 $.
    • A.$ 4 $
    • B.$ \frac{1}{2} $
    • C.$ 2 $
    • D.$ 8 $
  2. 2.Find the seventh term of the G.P.: $\sqrt{3} + 1, 1, \frac{\sqrt{3} - 1}{2}, \dots$
  3. 3.Insert two numbers between 3 and 81 so that all the four numbers are in G.P.
  4. 4.The fifth term of a GP is 48 and the eighth term is 384. Find its $12^{\text{th}}$ term.
  5. 5.If the third term of a geometric progression (GP) is $\frac{5}{2}$ and the seventh term is $\frac{8}{125}$, which of the following represents the GP?
    • A.$5, \frac{5}{2}, \frac{5}{4}, \frac{5}{8}, \ldots$ or $-5, \frac{5}{2}, -\frac{5}{4}, \frac{5}{8}, \ldots$
    • B.$2, 5, \frac{25}{2}, \frac{125}{4}, \ldots$
    • C.$\frac{5}{2}, 5, 10, 20, \ldots$
    • D.$\frac{8}{125}, \frac{4}{25}, \frac{2}{5}, 1, \ldots$

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