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 following inequation and identify the correct solution set: $$-2 < \frac{1}{2} - \frac{2x}{3} \leq \frac{11}{6}, x \in R.$$ Represent the solution set on the number line.
   • A.$$\{x : -2 < x \leq \frac{15}{4}, x \in R\}$$
   • B.$$\{x : -2 \leq x < \frac{15}{4}, x \in R\}$$
   • C.$$\{x : x < -2, x \in R\}$$
   • D.$$\{x : x \geq \frac{15}{4}, x \in R\}$$
2. 2.Find the set of values of $x$, satisfying: $7x + 3 \geq 3x - 5$ and $\frac{x}{4} - 5 \leq \frac{5}{4} - x$, where $x \in \mathbb{N}$. Which of the following represents the correct solution set?
   • A.$x = 1, 2, 3, 4, 5$
   • B.$x = 0, 1, 2, 3, 4, 5$
   • C.$x = -2, -1, 0, 1, 2, 3, 4, 5$
   • D.$x = 1, 2, 3, 4$
3. 3.Given the inequality $-5 \leq 2x - 3 < x + 2$ represented on the real number line below, which labeled segment correctly shows the range of values of $x$ that satisfy the inequality?
   • A.The segment from -5 to 5, including -5 but not 5
   • B.The segment from -2 to 5, including -2 but not 5
   • C.The segment from -3 to 2, including both endpoints
   • D.The segment from -2 to 5, including both endpoints
4. 4.If $10 - 5x < 5(x + 6)$, find the smallest value of $x$, when (i) $x \in \mathbb{I}$ (ii) $x \in \mathbb{W}$ (iii) $x \in \mathbb{N}$
5. 5.Solve the inequation and identify its solution set from the given options: $2x - 3 > 3$, $x \in \{1, 2, 3, 4, 5, 6\}$.
   • A.{3, 4, 5, 6}
   • B.{4, 5, 6}
   • C.{5, 6}
   • D.{1, 2, 3, 4, 5, 6}