ICSE Class 10 Matrices — Mock Test (2027)

Free online mock test for Matrices (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.Find the values of $x$, $y$, $a$ and $b$, if: $$ \left[ \begin{array}{cc} x - 2 & y \\ a / 2 & b + 1 \end{array} \right] = \left[ \begin{array}{cc} 0 & 3 \\ 1 & 5 \end{array} \right] $$
2. 2.If $ A = \begin{bmatrix} 2 & x \\ 0 & 1 \end{bmatrix} $ and $ B = \begin{bmatrix} 4 & 36 \\ 0 & 1 \end{bmatrix} $, find the value of $ x $, given that: $ A^2 = B $.
   • A.6
   • B.12
   • C.18
   • D.36
3. 3.If $2\begin{bmatrix} 3 & 4 \\ 5 & x \end{bmatrix} + \begin{bmatrix} 1 & y \\ 0 & 1 \end{bmatrix} = \begin{bmatrix} 7 & 0 \\ 10 & 7 \end{bmatrix}$, then the values of $x$ and $y$ are:
   • a.$x = 3, y = -8$
   • b.$x = 4, y = -4$
   • c.$x = 4, y = -8$
   • d.$x = 2, y = -4$
4. 4.If $A = \left[ \begin{array}{cc} 2 & 6 \\ 3 & 9 \end{array} \right]$, $B = \left[ \begin{array}{cc} 3 & x \\ y & 2 \end{array} \right]$, find the values of $x$ and $y$ such that $AB = 0$.
   • A.x = -6, y = -1
   • B.x = 6, y = 1
   • C.x = -4, y = -2
   • D.x = -2, y = -3
5. 5.State with reason, whether the following are true or false. $A$, $B$ and $C$ are matrices of order $2 \times 2$. (i) $A \cdot B = B \cdot A$ (ii) $(A + B)^2 = A^2 + 2AB + B^2$ (iii) $A \cdot (B \cdot C) = (A \cdot B) \cdot C$ (iv) $A \cdot (B + C) = A \cdot B + A \cdot C$