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.The solution to the inequation $2x + \frac{7}{2} > \frac{5x}{3} + 3$ is represented on the number line below. Which labeled part correctly shows the solution set $x > -1 \frac{1}{2}$?
   • A.An open circle at $-1 \frac{1}{2}$ with a ray extending to the right
   • B.A closed circle at $-1 \frac{1}{2}$ with a ray extending to the right
   • C.An open circle at $-1 \frac{1}{2}$ with a ray extending to the left
   • D.A closed circle at $1 \frac{1}{2}$ with a ray extending to the right
2. 2.The solution set for the inequation $2x + 4 \leq 14$, $x \in W$ is:
   • A.{1,2,3,4,5}
   • B.{0,1,2,3,4,5}
   • C.{1,2,3,4}
   • D.{0,1,2,3,4}
3. 3.Given: $A = \{x: 11x - 5 > 7x + 3, x \in \mathbb{R}\}$ and $B = \{x: 18x - 9 \geq 15 + 12x, x \in \mathbb{R}\}$. Find the range of set $A \cap B$ and represent it on a number line.
4. 4.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
5. 5.Find the value(s) of x ∈ N that satisfy the inequation: -2 ≤ ½ - (2x)/3 ≤ 1⅚.
   • A.{0, 1, 2, 3}
   • B.{1, 2, 3}
   • C.{2, 3, 4}
   • D.{0, 1, 2}