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 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.$\{\dots, -1, 0, 1, 2, 3\}$
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2.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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3.Solve the inequation and identify the correct solution set: $$-3 + x \leq \frac{8x}{3} + 2 \leq \frac{14}{3} + 2x, \text{ where } x \in I.$$ Represent the solution set on the number line.

- A.$$\{-4, -3, -2, -1, 0, 1, 2, 3, 4, 5\}$$
- B.$$\{-4, -3, -2, -1, 0, 1, 2, 3, 4\}$$
- C.$$\{-3, -2, -1, 0, 1, 2, 3, 4\}$$
- D.$$\{-5, -4, -3, -2, -1, 0, 1, 2, 3, 4\}$$
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4.Solve the inequation -7½ < ½ - 4x ≤ 8½, where x ∈ I, and identify the correct solution set from the options below.

- A.{-3, -2, -1, 0, 1}
- B.{-2, -1, 0, 1}
- C.{-1, 0, 1, 2}
- D.{-2, -1, 0, 1, 2}
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5.If $x \in W$ then the solution of $x \leq 3$ is:
- A.{0,1,2}
- B.{1,2,3}
- C.{1,2}
- D.{0,1,2,3}
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