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 set of the inequation: $x - 3 \geq -5, x \in R$ is:
   • A.$[x : x > -2, x \in R]$
   • B.$[x : x \leq -2, x \in R]$
   • C.$[x : x \geq -2, x \in R]$
   • D.$[-2, -1, 0, 1, 2]$
2. 2.If $3 \leq 3t - 18 \leq 18$, then which one of the following is true?
   • A.$8 < t \leq 12$
   • B.$8 \leq t < 12$
   • C.$8 < t + 1 \leq 13$
   • D.$8 \leq t + 1 \leq 13$
3. 3.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
4. 4.Solve the inequation and identify its solution set from the options given: $5 - x > 2 - 2x$, where $x \in I$.
   • A.$\{-3, -2, -1, 0, 1, 2, \dots\}$
   • B.$\{-2, -1, 0, 1, 2, \dots\}$
   • C.$\{\dots, -3, -2, -1, 0, 1\}$
   • D.$\{-1, 0, 1, 2, 3, \dots\}$
5. 5.Solve the inequation and determine its solution set from the given values: $5x - 3 > 3x - 5$, where $x \in \{0, 1, 2, 3, 4, 5, 6\}$. Which of the following represents the correct solution set?
   • A.{0, 1, 2, 3, 4, 5, 6}
   • B.{2, 3, 4, 5, 6}
   • C.{1, 2, 3, 4, 5, 6}
   • D.{3, 4, 5, 6}