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 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}
2. 2.Given $x \in \{\text{real numbers}\}$ and the inequality $-1 < 3 - 2x \leq 7$, which labeled segment on the number line below correctly represents the solution for $x$?
   • A.An open circle at –2 and a closed circle at 2, with a line connecting them
   • B.A closed circle at –2 and an open circle at 2, with a line connecting them
   • C.An open circle at –2 and an open circle at 2, with a line connecting them
   • D.A closed circle at –2 and a closed circle at 2, with a line connecting them
3. 3.If $\frac{x}{2} - 5 \leq \frac{x}{3} - 4$ and $x$ is a natural even number, then the solution set of $x$ is:
   • A.{-6, -4, -2}
   • B.{6, -4, -2, 2, 4, 6}
   • C.{2, 4, 6}
   • D.{2, 4, 6, 8}
4. 4.Find the value of $x$ that satisfies the inequation and select the correct solution set from the options below. Graph the solution set on the number line: $-1 \frac{5}{6} < \frac{3}{2} - \frac{2x}{3} \leq 3, x \in W$.
   • A.$\{x: 0 < x \leq 5, x \in W\}$
   • B.$\{x: 0 \leq x < 5, x \in W\}$
   • C.$\{x: x \geq 0 \text{ or } x < 5, x \in W\}$
   • D.$\{x: x < 0 \text{ and } x \geq 5, x \in W\}$
5. 5.The solution set representing the following number line is: $$- \infty \leftarrow \begin{array}{cccccccc}1 & 1 & 1 & 1 & 1 & 1 & 1 \\ -5 & -4 & -3 & -2 & -1 & 0 & 1 & 2 & 3\end{array}$$
   • A.$[x : x \in R, -3 \leq x < 2]$
   • B.$[x : x \in R, -3 < x < 2]$
   • C.$[x : x \in R, -3 \leq x \leq 2]$
   • D.$[x : x \in R, -3 \leq x \leq 2]$