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.Compute: $6 \cdot \begin{bmatrix} 4 & -5 \\ 3 & 2 \end{bmatrix} - 3 \cdot \begin{bmatrix} 2 & -3 \\ -1 & 4 \end{bmatrix}$.
2. 2.If $ A = \begin{bmatrix} 3 & 1 \\ -1 & 2 \end{bmatrix} $ and $ I = \begin{bmatrix} 1 & 0 \\ 0 & 1 \end{bmatrix} $, then find $ A^2 - 5A + 7I $.
3. 3.Find the matrix $M$, such that $M \times \begin{bmatrix} 3 & 6 \\ -2 & -8 \end{bmatrix} = [-2 \quad 16]$
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.Given matrices $A = \begin{bmatrix} 1 & 2 \\ 3 & 4 \end{bmatrix}$ and $B = \begin{bmatrix} 5 & 6 \\ 7 & 8 \end{bmatrix}$, compute $AB$ and determine which of the following statements is true?
   • A.$AB = \begin{bmatrix} 19 & 22 \\ 43 & 50 \end{bmatrix}$ and $AB = BA$
   • B.$AB = \begin{bmatrix} 23 & 34 \\ 31 & 46 \end{bmatrix}$ and $AB \neq BA$
   • C.$AB = \begin{bmatrix} 19 & 22 \\ 43 & 50 \end{bmatrix}$ and $AB \neq BA$
   • D.$AB = \begin{bmatrix} 22 & 19 \\ 50 & 43 \end{bmatrix}$ and $AB = BA$