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.Solve the inequation and determine its solution set: $4 - 5x > -11$, where $x \in I$. Which of the following represents the correct solution set?
    • A.$\{x : x < 3, x \in I\}$
    • B.$\{x : x > 3, x \in I\}$
    • C.$\{x : x \leq 3, x \in I\}$
    • D.$\{\dots, -1, 0, 1, 2, 3\}$
  2. 2.Find the set of values of $x$, satisfying: $7x + 3 \geq 3x - 5$ and $\frac{x}{4} - 5 \leq \frac{5}{4} - x$, where $x \in \mathbb{N}$
  3. 3.Solve the inequation and identify the correct solution set: $$-3 + x \leq \frac{8x}{3} + 2 \leq \frac{14}{3} + 2x, \text{ where } x \in I.$$ Represent the solution set on the number line. img-2.jpeg
    • A.$$\{-4, -3, -2, -1, 0, 1, 2, 3, 4, 5\}$$
    • B.$$\{-4, -3, -2, -1, 0, 1, 2, 3, 4\}$$
    • C.$$\{-3, -2, -1, 0, 1, 2, 3, 4\}$$
    • D.$$\{-5, -4, -3, -2, -1, 0, 1, 2, 3, 4\}$$
  4. 4.Solve the inequation -7½ < ½ - 4x ≤ 8½, where x ∈ I, and identify the correct solution set from the options below. img-5.jpeg
    • A.{-3, -2, -1, 0, 1}
    • B.{-2, -1, 0, 1}
    • C.{-1, 0, 1, 2}
    • D.{-2, -1, 0, 1, 2}
  5. 5.If $x \in W$ then the solution of $x \leq 3$ is:
    • A.{0,1,2}
    • B.{1,2,3}
    • C.{1,2}
    • D.{0,1,2,3}

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