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.If $a$, $b$, and $c$ are in arithmetic progression (AP), which of the following must be in geometric progression (GP)?
    • A.$a^2, b^2, c^2$
    • B.$3^a, 3^b, 3^c$
    • C.$a + 3, b + 3, c + 3$
    • D.$2a, 2b, 2c$
  2. 2.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.$-\frac{171}{256}$
  3. 3.The sum of three numbers in G.P. is $\frac{39}{10}$ and their product is 1. Find the numbers.
  4. 4.The third term of a GP is 24 and the sixth term is 192. Find the tenth term.
  5. 5.What is the value of $x$ such that $-\frac{2}{7}, x, -\frac{7}{2}$ are three consecutive terms of a GP?
    • A.1
    • B.2
    • C.3
    • D.4

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