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
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1.Solve the following inequation and represent the solution set on the number line: $2x - 5 \leq 5x + 4 < 11$, where $x \in \mathbb{I}$.
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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.
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3.If $4x + 3 < 6x + 7$ then:
- A.$x > -2$
- B.$x < -2$
- C.$x \leq -2$
- D.$x \geq -2$
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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) $x \in \mathbb{N}$
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5.Solve the following inequation and select the correct solution set from the options below. Represent the solution set on the number line: $\frac{3x}{5} + 2 < x + 4 \leq \frac{x}{2} + 5, x \in R$.

- 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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