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.In a G.P., the ratio between the sum of the first three terms and that of the first six terms is 125 : 152. Find its common ratio.
    • A.3/5
    • B.5/3
    • C.27/125
    • D.-3/5
  2. 2.How many terms of the G.P. $\frac{2}{9}, -\frac{1}{3}, \frac{1}{2}, \dots$ must be added to get the sum equal to $\frac{55}{72}$?
    • A.3
    • B.4
    • C.5
    • D.6
  3. 3.Find the geometric mean between: (i) 3 and 12 (ii) 3 and 243
  4. 4.The sum of three numbers in geometric progression (G.P.) is 21 and the sum of their squares is 189. Which of the following sets represents the three numbers?
    • A.1, 7, 13
    • B.3, 6, 12
    • C.2, 6, 18
    • D.4, 6, 11
  5. 5.The sum of the first 3 terms of a geometric progression is 61/20 and their product is 1. Which of the following is one possible set of the first three terms?
    • A.1/4, 1, 4
    • B.5/4, 1, 4/5
    • C.2/5, 1, 5/2
    • D.1/5, 1, 5

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