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.Multiplying $-3$ on both sides of a linear inequation $\frac{-2x + 7}{3} \leq \frac{-4x + 5}{3}$ becomes
    • A.$-2x + 7 \geq -4x + 5$
    • B.$2x - 7 \geq 4x - 5$
    • C.$-2x + 7 \leq 4x - 5$
    • D.$2x - 7 \leq 4x - 5$
  3. 3.Find the set of values of x satisfying both inequations below, where x ∈ N, and select the correct solution set: 3x - 5 ≤ 7x + 3 and 5 - x ≥ x/4 - 5/4. img-5.jpeg
    • A.{1, 2, 3, 4, 5}
    • B.{0, 1, 2, 3, 4, 5}
    • C.{2, 3, 4, 5}
    • D.{1, 2, 3, 4, 5, 6}
  4. 4.Solve the inequation and identify its solution set from the given options: $3x - 1 > 5$, $x \in \{0, 1, 2, 3, 4, 5\}$.
    • A.$\{2, 3, 4, 5\}$
    • B.$\{3, 4, 5\}$
    • C.$\{0, 1, 2\}$
    • D.$\{4, 5\}$
  5. 5.Find the set of values of $x$, satisfying: $7x + 3 \geq 3x - 5$ and $\frac{x}{4} - 5 \leq \frac{5}{4} - x$, where $x \in \mathbb{N}$

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