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.Evaluate the following matrix multiplication: $\begin{bmatrix} 4\sin 30^\circ & 2\cos 60^\circ \\ \sin 90^\circ & 2\cos 0^\circ \end{bmatrix} \begin{bmatrix} 4 & 5 \\ 5 & 4 \end{bmatrix}$. What is the resulting matrix?
   • A.$\begin{bmatrix} 22 & 24 \\ 18 & 21 \end{bmatrix}$
   • B.$\begin{bmatrix} 18 & 21 \\ 22 & 24 \end{bmatrix}$
   • C.$\begin{bmatrix} 20 & 22 \\ 16 & 19 \end{bmatrix}$
   • D.$\begin{bmatrix} 24 & 26 \\ 20 & 23 \end{bmatrix}$
2. 2.Given $ A = \begin{bmatrix} 2 & -1 \\ 2 & 0 \end{bmatrix} $, $ B = \begin{bmatrix} -3 & 2 \\ 4 & 0 \end{bmatrix} $ and $ C = \begin{bmatrix} 1 & 0 \\ 0 & 2 \end{bmatrix} $, find the matrix $ X $ such that: $ A + X = 2B + C $. Which of the following is the matrix $ X $?
   • A.$\begin{bmatrix} -7 & 5 \\ 6 & 2 \end{bmatrix}$
   • B.$\begin{bmatrix} -5 & 4 \\ 8 & 2 \end{bmatrix}$
   • C.$\begin{bmatrix} -9 & 3 \\ 4 & 0 \end{bmatrix}$
   • D.$\begin{bmatrix} -7 & 5 \\ 6 & 0 \end{bmatrix}$
3. 3.Let $A = \begin{bmatrix} 1 & 0 \\ 2 & 1 \end{bmatrix}$, $B = \begin{bmatrix} 2 & 3 \\ -1 & 0 \end{bmatrix}$. Find $A^2 + AB + B^2$.
4. 4.Given $A = \begin{bmatrix} 0 & 1 \\ 0 & 0 \end{bmatrix}$ and $I$ as the unit matrix of order 2, which of the following correctly represents $(aI + bA)^3$?
   • A.$a^3I + 3a^2bA$
   • B.$aI + 3ab^2A$
   • C.$a^3I + b^3A$
   • D.$3aI + 3bA$
5. 5.If $A = \left[ \begin{array}{ll} -1 & 2 \end{array} \right]$ and $B = \begin{bmatrix} 1 & -2 \\ 0 & 3 \end{bmatrix}$, which of the following operation is possible?
   • A.$A - B$
   • B.$A + B$
   • C.$AB$
   • D.$BA$