ICSE Class 10 Arithmetic Progression — Mock Test (2027)

Free online mock test for Arithmetic 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.Assertion: $S_{10} = \frac{10}{2} [2(-0.5) + (10 - 1)(-0.5)] = 27.5$ for an AP. Reason: The sum of first $n$ terms of an AP is given by $S_{n} = \frac{n}{2} [2a + (n - 1)d]$ where $a$ is first term and $d$ is common difference. Choose the correct option: (a) Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A). (b) Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A). (c) Assertion (A) is true but reason (R) is false. (d) Assertion (A) is false but reason (R) is true.
   • a.Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).
   • b.Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).
   • c.Assertion (A) is true but reason (R) is false.
   • d.Assertion (A) is false but reason (R) is true.
2. 2.Which term of the A.P. 4·2, 4·7, 5·2, 5·7, ... is 8·7?
3. 3.Find the values of $a$ and $b$ if the numbers 12, $a + b$, 2a, and $b$ are in arithmetic progression (A.P.).
   • A.$a = 4$ and $b = 6$
   • B.$a = 6$ and $b = 4$
   • C.$a = 3$ and $b = 9$
   • D.$a = 8$ and $b = 2$
4. 4.In an AP of 50 terms, the sum of the first 10 terms is 210 and the sum of its last 15 terms is 2565. Which of the following represents the AP?
   • A.1, 5, 9, ...
   • B.3, 7, 11, ...
   • C.2, 6, 10, ...
   • D.4, 8, 12, ...
5. 5.Determine the arithmetic progression (AP) where the third term is 9 and the difference between the 8th term and the 5th term is 6.
   • A.3, 5, 7, 9, ...
   • B.5, 7, 9, 11, ...
   • C.1, 3, 5, 7, ...
   • D.2, 5, 8, 11, ...