ICSE Class 10

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

  1. 1.If tₙ represents the nth term of an arithmetic progression (A.P.), and it is given that t₂ + t₅ - t₃ = 10 and t₂ + t₉ = 17, which of the following correctly represents the first term (a) and the common difference (d) of the A.P.?
    • A.First term = 2, common difference = 3
    • B.First term = 3, common difference = 2
    • C.First term = 5, common difference = 1
    • D.First term = 1, common difference = 4
  2. 2.In an AP, if $d = -4$, $n = 7$ and $a_n = 4$, then $a$ is equal to:
    • A.6
    • B.7
    • C.20
    • D.28
  3. 3.In a garden bed, there are 23 rose plants in the first row, 21 in the second, 19 in the third, and so on, with 5 plants in the last row. How many rows of rose plants are there?
    • A.8 rows
    • B.9 rows
    • C.10 rows
    • D.11 rows
  4. 4.Find the 50th term of the sequence: 1/n, (n + 1)/n, (2n + 1)/n, ...
    • A.(49n + 1)/n
    • B.(50n + 1)/n
    • C.49 + 1/n
    • D.(49n - 1)/n
  5. 5.In an arithmetic progression, the sum of the $3^{ ext{rd}}$ and $7^{ ext{th}}$ terms is 6 and their product is 8. What is the sum of the first 20 terms of this AP?
    • A.100
    • B.115 or 15
    • C.130 or 20
    • D.120 or 10

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