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.Solution set of inequation $5 - 2x \geq x - 10$, given that $x \in N$, will be:
- A.$\{0,1,2,3,4,5\}$
- B.$\{1,2,3,4\}$
- C.$\{1,2,3,4,5\}$
- D.$\{0,1,2,3,4\}$
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2.Given that $x \in R$, solve the inequality $-1 \leq 3 + 4x \text{ < } 23$ and select the correct solution set. Represent this on the number line as shown:

- A.$\{x : -1 \leq x \leq 5\}$
- B.$\{x : -1 \leq x \text{ < } 5\}$
- C.$\{x : x \geq -1\}$
- D.$\{x : x \text{ < } 5\}$
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3.Solve the following system of inequations and identify the correct solution set: x + 5 ≤ 4(x - 1) and 7 - 2x > -3, x ∈ R.

- A.{x: 3 ≤ x ≤ 5, x ∈ R}
- B.{x: 3 ≤ x < 5, x ∈ R}
- C.{x: x ≥ 3, x ∈ R}
- D.{x: x < 5, x ∈ R}
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4.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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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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