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 inequation $\frac{x}{2} - 5 \leq \frac{x}{3} - 4$, where $x$ is a positive odd integer. Which of the following is the solution set?
- A.{1, 3, 5}
- B.{1, 2, 3, 4, 5, 6}
- C.{1, 3, 5, 7}
- D.{2, 4, 6}
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2.If $\frac{5 - 2x}{7} < \frac{x}{7} - 5$ then
- A.$x > 8$
- B.$x < 8$
- C.$x \leq 8$
- D.$x \geq 8$
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3.Solve the inequation 4/3 - x/3 ≤ x/2 < 3/2 for x ∈ R and select the correct solution set.
- A.{x : -1/5 ≤ x < 3, x ∈ R}
- B.{x : -1 ≤ x < 3, x ∈ R}
- C.{x : 0 ≤ x < 3, x ∈ R}
- D.{x : -1/5 < x ≤ 3, x ∈ R}
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4.The inequation $-2 \frac{1}{2} + 2x \leq \frac{4x}{5} \leq \frac{4}{3} + 2x$, where $x \in \mathbb{W}$, is graphed on the number line shown below:
Which labeled point or interval on the diagram represents the solution set of the inequation?- A.The closed interval from 0 to 5, including both endpoints.
- B.The open interval from 0 to 5, excluding both endpoints.
- C.The single point at x = 2.5, the midpoint of the interval.
- D.The rays extending left from 0 and right from 5, including both points.
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5.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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