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.Find the set of values of x satisfying both inequations below, where x ∈ N, and select the correct solution set: 3x - 5 ≤ 7x + 3 and 5 - x ≥ x/4 - 5/4.
   • A.{1, 2, 3, 4, 5}
   • B.{0, 1, 2, 3, 4, 5}
   • C.{2, 3, 4, 5}
   • D.{1, 2, 3, 4, 5, 6}
2. 2.The diagram below shows a number line representing the range of values of $x$ which satisfies the inequality $-2\frac{2}{3} \leq x + \frac{1}{3} < 3\frac{1}{3}, x \in \mathbb{R}$. Which labeled part on the number line correctly corresponds to the solution of this inequality?
   • A.A closed circle at -3 and an open circle at 3
   • B.An open circle at -3 and a closed circle at 3
   • C.A closed circle at -8/3 and an open circle at 10/3
   • D.Closed circles at both -3 and 3
3. 3.The diagram below shows the solution set of the inequation $-3 < 2x - 1 < x + 4$, $x \in I$ represented on a number line. Which label correctly identifies the solution set on the number line?
   • A.{-1, 0, 1, 2, 3, 4, 5}
   • B.{0, 1, 2, 3, 4}
   • C.{-1, 0, 1, 2, 3, 4}
   • D.{1, 2, 3, 4, 5}
4. 4.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 $x \in \mathbb{R}$}
5. 5.Solve the inequation -8½ < -½ - 4x ≤ 7½ for x ∈ I and identify the correct solution set.
   • A.{-2, -1, 0, 1}
   • B.{-3, -2, -1, 0, 1}
   • C.{-1, 0, 1, 2}
   • D.{x : -2 ≤ x < 2, x ∈ I}