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.Solution set of $12 - x \geq 3x - 2$, given that $x \in W$ is:
    • A.{0,1,2}
    • B.{1,2,3}
    • C.{1,2}
    • D.{0,1,2,3}
  2. 2.Solve the inequation: $-2 \frac{1}{2} + 2x \leq \frac{4x}{5} \leq \frac{4}{3} + 2x, x \in \mathbb{W}$. Graph the solution set on the number line.
  3. 3.Solve the inequation and determine its solution set: $9 - x > 5x + 3$, where $x \in I$. Which of the following represents the correct solution set?
    • A.$\{1, 2, 3, \dots\}$
    • B.$\{\dots, -3, -2, -1, 0\}$
    • C.$\{-1, 0, 1, 2, \dots\}$
    • D.$\{\dots, -2, -1, 0, 1\}$
  4. 4.Solve the inequation and determine its solution set: $5 - 4x < 10 - x$, where $x \in I$. Which of the following represents the correct solution set?
    • A.$\{-2, -1, 0, 1, 2, \dots\}$
    • B.$\{-1, 0, 1, 2, \dots\}$
    • C.$\{0, 1, 2, 3, \dots\}$
    • D.$\{-3, -2, -1, 0, 1, \dots\}$
  5. 5.Given that $x \in \mathbb{R}$, the inequality $-1 \leq 3 + 4x < 23$ is solved and represented on the number line as shown below: img-1.jpeg Which labeled part of the diagram correctly indicates the solution set for $x$?
    • A.A darkened circle at $-1$ and a hollow circle at $5$, connected by a line.
    • B.A hollow circle at $-1$ and a darkened circle at $5$, connected by a line.
    • C.Darkened circles at both $-1$ and $5$, connected by a line.
    • D.Hollow circles at both $-1$ and $5$, with no connecting line.

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