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 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.$$\{-5, -4, -3, -2, -1, 0, 1, 2, 3, 4\}$$
2. 2.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}
3. 3.The sets $A = \{x: 11x - 5 > 7x + 3, x \in \mathbb{R}\}$ and $B = \{x: 18x - 9 \geq 15 + 12x, x \in \mathbb{R}\}$ are represented on the number line below. Which labeled part on the number line correctly represents the range of $A \cap B$?
   • A.The ray starting at 2 and extending to the right, including 2.
   • B.The ray starting at 4 and extending to the right, including 4.
   • C.The ray starting at 2 and extending to the right, excluding 2.
   • D.The segment between 2 and 4, including both endpoints.
4. 4.If $5x - 3 \leq 5 + 3x \leq 4x + 2$, express it as $a \leq x \leq b$ and then state the values of $a$ and $b$.
5. 5.Solve the following inequation and represent the solution set on the number line: $2x - 5 \leq 5x + 4 < 11$, where $x \in \mathbb{I}$.