ICSE Class 10

ICSE Class 10 Linear Inequations (in one variable) — Mock Test (2027)

Free online mock test for Linear Inequations (in one variable) (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 Linear Inequations (in one variable) 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.The solution set for the linear inequation $-8 \leq x - 7 < -4$, $x \in I$ is:
    • A.$[x : x \in R, -1 \leq x < 3]$
    • B.{0, 1, 2, 3}
    • C.{-1, 0, 1, 2, 3}
    • D.{-1, 0, 1, 2}
  2. 2.If $[x : 4 \leq x < \infty]$ is a solution set of a linear inequation in $x$, then the solution set of $x$ must be
    • A.N
    • B.Z
    • C.W
    • D.R
  3. 3.Solve the following inequation, write the solution set and represent it on the real number line. $-1 < \dfrac{2x - 3}{3} - \dfrac{x}{5} \le 1,\ x \in R$
  4. 4.The longest side of a triangle is 3 times the shortest side and the third side is $2\,\mathrm{cm}$ shorter than the longest side. If the perimeter of the triangle is at least $61\,\mathrm{cm}$, then minimum length of the shortest side is
    • A.$7\,\mathrm{cm}$
    • B.$8\,\mathrm{cm}$
    • C.$9\,\mathrm{cm}$
    • D.$10\,\mathrm{cm}$
  5. 5.The number of pairs of consecutive odd natural numbers both of which are larger than 10, such that their sum is less than 40, is
    • A.8
    • B.6
    • C.4
    • D.3

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