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.

Sample questions

1. 1.Solve the inequation: $12 + 1\frac{5}{6}x \leq 5 + 3x$ and $x \in \mathbb{R}$. Which of the following represents the solution set?
   • A.{$x : x \leq 4$ and $x \in \mathbb{R}$}
   • B.{$x : x \geq 4$ and $x \in \mathbb{R}$}
   • C.{$x : x \leq 6$ and $x \in \mathbb{R}$}
   • D.{$x : x \geq -4$ and $x \in \mathbb{R}$}
2. 2.The inequality $-\frac{1}{3} \leq \frac{x}{2} - 1\frac{1}{3} < \frac{1}{6}$ is graphed on the real number line as shown below: Which labeled feature on the diagram correctly represents the value $x = 3$?
   • A.A darkened circle at 3
   • B.A hollow circle at 3
   • C.An arrow extending to the right from 3
   • D.A darkened circle at 2 and a hollow circle at 3
3. 3.Find the smallest integer value of $x$ that satisfies the inequation $2x + \frac{7}{2} > \frac{5x}{3} + 3$, where $x \in I$.
   • A.-2
   • B.-1
   • C.0
   • D.1
4. 4.The diagram below represents the solution set of the inequation $2x - 5 \leq 5x + 4 \textless 11$, where $x \in \mathbb{I}$, on a number line. Which labeled part corresponds to the integer values of $x$ that satisfy the inequation?
   • A.A closed circle at -3 and an open circle at 7/3, with dots on -3, -2, -1, 0, 1, 2
   • B.A closed circle at -3 and an open circle at 7/3, with dots on -4, -3, -2, -1, 0, 1
   • C.An open circle at -3 and a closed circle at 7/3, with dots on -2, -1, 0, 1, 2
   • D.A closed circle at -3 and a closed circle at 7/3, with dots on -3, -2, -1, 0, 1, 2, 3
5. 5.To solve the linear inequation $2x + 6 < 21$, $x \in I$ we add (-6) to both sides. With this operation, the sign of inequality
   • A.reverses
   • B.remain same
   • C.data insufficient
   • D.none of these