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.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.
2. 2.The diagram below represents the solution set of the inequation $2x - 5 \leq 5x + 4 \textless 11$, where $x \in \mathbb{I}$, on a number line. Which labeled part corresponds to the integer values of $x$ that satisfy the inequation?
   • A.A closed circle at -3 and an open circle at 7/3, with dots on -3, -2, -1, 0, 1, 2
   • B.A closed circle at -3 and an open circle at 7/3, with dots on -4, -3, -2, -1, 0, 1
   • C.An open circle at -3 and a closed circle at 7/3, with dots on -2, -1, 0, 1, 2
   • D.A closed circle at -3 and a closed circle at 7/3, with dots on -3, -2, -1, 0, 1, 2, 3
3. 3.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
4. 4.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.$[-2, -1, 0, 1, 2]$
5. 5.Multiplying $-3$ on both sides of a linear inequation $\frac{-2x + 7}{3} \leq \frac{-4x + 5}{3}$ becomes
   • A.$-2x + 7 \geq -4x + 5$
   • B.$2x - 7 \geq 4x - 5$
   • C.$-2x + 7 \leq 4x - 5$
   • D.$2x - 7 \leq 4x - 5$