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 following inequation and represent the solution set on the number line: $2x - 5 \leq 5x + 4 < 11$, where $x \in \mathbb{I}$.
  2. 2.Find the range of values of $x$, which satisfy $-\frac{1}{3} \leq \frac{x}{2} - 1\frac{1}{3} < \frac{1}{6}$. Graph the values of $x$ on the real line.
  3. 3.If $4x + 3 < 6x + 7$ then:
    • A.$x > -2$
    • B.$x < -2$
    • C.$x \leq -2$
    • D.$x \geq -2$
  4. 4.If $10 - 5x < 5(x + 6)$, find the smallest value of $x$, when (i) $x \in \mathbb{I}$ (ii) $x \in \mathbb{W}$ (iii) $x \in \mathbb{N}$
  5. 5.Solve the following inequation and select the correct solution set from the options below. Represent the solution set on the number line: $\frac{3x}{5} + 2 < x + 4 \leq \frac{x}{2} + 5, x \in R$. img-3.jpeg
    • A.$\{x: -5 \leq x < 2, x \in R\}$
    • B.$\{x: -5 < x \leq 2, x \in R\}$
    • C.$\{x: x > -5 \text{ or } x \leq 2, x \in R\}$
    • D.$\{x: x \leq -5 \text{ and } x > 2, x \in R\}$

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