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.The number of two-digit numbers which are divisible by 3 is
- A.30
- B.31
- C.33
- D.29
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2.Find five numbers in A.P. whose sum is $12\frac{1}{2}$ and the ratio of the first to the last terms is $2 : 3$. What is the third (middle) term of this arithmetic progression?
- A.3
- B.2.5
- C.4
- D.1.5
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3.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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4.If the sum of the first m terms of an AP is equal to the sum of its first n terms (m ≠ n), what can be concluded about the sum of its first (m + n) terms?
- A.The sum is positive.
- B.The sum is negative.
- C.The sum is zero.
- D.The sum is equal to m + n.
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5.In an arithmetic progression (A.P.), which of the following correctly demonstrates that the sum of the $(m + n)^{\text{th}}$ term and the $(m - n)^{\text{th}}$ term equals twice the $m^{\text{th}}$ term?
- A.$$[a + (m + n - 1)d] + [a + (m - n - 1)d] = 2[a + (m - 1)d]$$
- B.$$[a + (m + n)d] + [a + (m - n)d] = 2[a + md]$$
- C.$$[a + (m + n - 1)d] - [a + (m - n - 1)d] = 2nd$$
- D.$$[a + (m + n - 1)d] + [a + (m - n - 1)d] = 2[a + (n - 1)d]$$
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