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.Determine the values of $x$ and $y$ from the matrix equation: $\begin{bmatrix} x & 3x \\ y & 4y \end{bmatrix} \begin{bmatrix} 2 \\ 1 \end{bmatrix} = \begin{bmatrix} 5 \\ 12 \end{bmatrix}$.
   • A.$x = 2$, $y = 3$
   • B.$x = 1$, $y = 2$
   • C.$x = 0$, $y = 4$
   • D.$x = 1$, $y = 1$
2. 2.If $A = \begin{bmatrix} 3 & 5 \\ 1 & 4 \end{bmatrix}$, $B = \begin{bmatrix} 2 & 4 \\ 0 & 3 \end{bmatrix}$ and $C = \begin{bmatrix} 1 & -1 \\ 2 & 1 \end{bmatrix}$ then $5A - BC$ is:
   • A.$\begin{bmatrix} -5 & -23 \\ 1 & 17 \end{bmatrix}$
   • B.$\begin{bmatrix} 5 & 23 \\ 1 & 17 \end{bmatrix}$
   • C.$\begin{bmatrix} -2 & 8 \\ -3 & 3 \end{bmatrix}$
   • D.$\begin{bmatrix} 5 & 23 \\ -1 & 17 \end{bmatrix}$
3. 3.Find $x$ and $y$ if: (i) $3\left[ \begin{array}{cc} 4 & x \end{array} \right] + 2\left[ \begin{array}{cc} y & -3 \end{array} \right] = \left[ \begin{array}{cc} 10 & 0 \end{array} \right]$ (ii) $x\left[ \begin{array}{c} -1 \\ 2 \end{array} \right] - 4\left[ \begin{array}{c} -2 \\ y \end{array} \right] = \left[ \begin{array}{c} 7 \\ -8 \end{array} \right]$
4. 4.Evaluate: $$\begin{bmatrix} 2\cos 60^\circ & -2\sin 30^\circ \\ -\tan 45^\circ & \cos 0^\circ \end{bmatrix} \begin{bmatrix} \cot 45^\circ & \csc 30^\circ \\ \sec 60^\circ & \sin 90^\circ \end{bmatrix}$$
5. 5.A matrix which has only one column is called a:
   • A.row matrix
   • B.column matrix
   • C.square matrix
   • D.identity matrix