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.
What to expect: This mock test covers key concepts from the Arithmetic 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
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1.Determine the value of $k$ for which the expressions $k^2 + 4k + 8$, $2k^2 + 3k + 6$, and $3k^2 + 4k + 4$ are in arithmetic progression (A.P.).
- A.$k = 0$
- B.$k = 2$
- C.$k = -1$
- D.$k = 1$
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2.If the $p^{\text{th}}$, $q^{\text{th}}$ and $r^{\text{th}}$ terms of an arithmetic progression are $x$, $y$ and $z$ respectively, then the value of $x(q - r) + y(r - p) + z(p - q)$ is:
- A.1
- B.0
- C.-1
- D.$(q - r)(r - p)(p - q)$
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3.Find three numbers in A.P. whose sum is 24 and whose product is 440. Which of the following sets of numbers satisfies these conditions?
- A.4, 8, 12
- B.5, 8, 11
- C.6, 8, 10
- D.3, 8, 13
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4.If the first term of an AP is $-5$ and the common difference is 2, then the sum of the first 6 terms is
- A.0
- B.5
- C.6
- D.15
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5.Find the 100th term of the sequence: √3, 2√3, 3√3, ...
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