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 number of pairs of consecutive odd natural numbers both of which are larger than 10, such that their sum is less than 40, is
   • A.8
   • B.6
   • C.4
   • D.3
2. 2.The inequation $-2\frac{2}{3} \leq x + \frac{1}{3} < 3\frac{1}{3}; x \in \mathbb{R}$ is graphed on the number line shown below. Which labeled part of the diagram correctly represents the solution set $\{x : -3 \leq x < 3, x \in \mathbb{R}\}$?
   • A.A closed circle at –3 and an open circle at 3, with a line connecting them
   • B.An open circle at –3 and a closed circle at 3, with a line connecting them
   • C.Closed circles at –3 and 3, with a line connecting them
   • D.Open circles at –3 and 3, with a line connecting them
3. 3.If $x \in N$ then the solution of $x \leq 3$ is:
   • A.{0, 1, 2}
   • B.{1, 2, 3}
   • C.{1, 2}
   • D.{0, 1, 2, 3}
4. 4.The inequation $-2 \frac{1}{2} + 2x \leq \frac{4x}{5} \leq \frac{4}{3} + 2x$, where $x \in \mathbb{W}$, is graphed on the number line shown below: Which labeled point or interval on the diagram represents the solution set of the inequation?
   • A.The closed interval from 0 to 5, including both endpoints.
   • B.The open interval from 0 to 5, excluding both endpoints.
   • C.The single point at x = 2.5, the midpoint of the interval.
   • D.The rays extending left from 0 and right from 5, including both points.
5. 5.Solve the inequation -3 ≤ 3 - 2x < 9 for x ∈ R and select the correct solution set.
   • A.{x : -3 < x ≤ 3, x ∈ R}
   • B.{x : -3 ≤ x < 3, x ∈ R}
   • C.{x : -2 < x ≤ 4, x ∈ R}
   • D.{x : -4 ≤ x < 2, x ∈ R}