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.

Sample questions

1. 1.What is the $12^{\mathrm{th}}$ term of a GP whose $8^{\mathrm{th}}$ term is 192 and common ratio is 2?
   • A.3078
   • B.3072
   • C.2078
   • D.2072
2. 2.If 1701 is the nth term of the Geometric Progression (G.P.) 7, 21, 63 ……., find: (a) the value of 'n' (b) hence find the sum of the 'n' terms of the G.P.
3. 3.Find the seventh term from the end of the series: $ \sqrt{2}, 2, 2\sqrt{2}, \dots, 32 $.
4. 4.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 $5, 1, \frac{1}{5}$
5. 5.If each term of a geometric progression (G.P.) is raised to the power $x$, which of the following correctly describes the resulting sequence?
   • A.The sequence remains a G.P. with first term $a^x$ and common ratio $r^x$.
   • B.The sequence becomes an arithmetic progression (A.P.) with common difference $x$.
   • C.The sequence is no longer a G.P. because the ratio between terms changes unpredictably.
   • D.The sequence becomes a G.P. with first term $a^x$ and common ratio $r$.