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.If $A = \begin{bmatrix} 2 & 0 \\ -1 & 7 \end{bmatrix}$ then $A^2$ is:
   • A.$\begin{bmatrix} 4 & 0 \\ 1 & 49 \end{bmatrix}$
   • B.$\begin{bmatrix} 4 & 0 \\ -9 & 49 \end{bmatrix}$
   • C.$\begin{bmatrix} 4 & 0 \\ 9 & 49 \end{bmatrix}$
   • D.$\begin{bmatrix} 4 & 9 \\ -9 & 49 \end{bmatrix}$
2. 2.Find a matrix $A$ such that $2A - 3B + 5C = O$, where $B = \begin{bmatrix} -2 & 2 & 0 \\ 3 & 1 & 4 \end{bmatrix}$ and $C = \begin{bmatrix} 2 & 0 & -2 \\ 7 & 1 & 6 \end{bmatrix}$.
3. 3.Find the values of $ x $ and $ y $ that satisfy the equation: $ \begin{bmatrix} x & 3x \\ y & 4y \end{bmatrix} \begin{bmatrix} 2 \\ 1 \end{bmatrix} = \begin{bmatrix} 5 \\ 12 \end{bmatrix} $.
   • A.$x = 1$, $y = 2$
   • B.$x = 2$, $y = 1$
   • C.$x = 1$, $y = 3$
   • D.$x = 0.5$, $y = 2.4$
4. 4.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) $A \cdot (B + C) = A \cdot B + A \cdot C$
5. 5.If $A = \begin{bmatrix} 3 & 7 \\ 2 & 4 \end{bmatrix}$, $B = \begin{bmatrix} 0 & 2 \\ 5 & 3 \end{bmatrix}$ and $C = \begin{bmatrix} 1 & -5 \\ -4 & 6 \end{bmatrix}$, find $AB - 5C$.