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 $A = \begin{bmatrix} 3 & 5 \\ 1 & 4 \end{bmatrix}$, $B = \begin{bmatrix} 2 & 4 \\ 0 & 3 \end{bmatrix}$ 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.$\begin{bmatrix} 5 & 23 \\ -1 & 17 \end{bmatrix}$
2. 2.Given matrix $B = \begin{bmatrix} 1 & 1 \\ 8 & 3 \end{bmatrix}$. Find the matrix $X$ if $X = B^2 - 4B$. Hence solve for $a$ and $b$ given $$X \begin{bmatrix} a \\ b \end{bmatrix} = \begin{bmatrix} 5 \\ 50 \end{bmatrix}$$.
3. 3.Given matrices $A = \begin{bmatrix} 3 & 7 \\ 2 & 4 \end{bmatrix}$, $B = \begin{bmatrix} 0 & 2 \\ 5 & 3 \end{bmatrix}$ and $C = \begin{bmatrix} 1 & -5 \\ -4 & 6 \end{bmatrix}$, which of the following represents $AB - 5C$?
   • A.$\begin{bmatrix} 30 & 52 \\ 40 & -14 \end{bmatrix}$
   • B.$\begin{bmatrix} 25 & 47 \\ 35 & -19 \end{bmatrix}$
   • C.$\begin{bmatrix} 35 & 57 \\ 45 & -9 \end{bmatrix}$
   • D.$\begin{bmatrix} 20 & 32 \\ 20 & -24 \end{bmatrix}$
4. 4.If $A = \begin{bmatrix} 3 & x \\ 0 & 1 \end{bmatrix}$ and $B = \begin{bmatrix} 9 & 16 \\ 0 & -y \end{bmatrix}$, find the values of $x$ and $y$ when $A^2 = B$.
   • A.$x = 4$ and $y = 1$
   • B.$x = 4$ and $y = -1$
   • C.$x = 16$ and $y = 1$
   • D.$x = 2$ and $y = -1$
5. 5.If $ A = \begin{bmatrix} a & 0 \\ 0 & 2 \end{bmatrix} $, $ B = \begin{bmatrix} 0 & -b \\ 1 & 0 \end{bmatrix} $, $ M = \begin{bmatrix} 1 & -1 \\ 1 & 1 \end{bmatrix} $ and $ BA = M^2 $, find the values of $ a $ and $ b $. What are the correct values?
   • A.$a = 2$, $b = 2$
   • B.$a = 1$, $b = 1$
   • C.$a = 2$, $b = -2$
   • D.$a = -2$, $b = 2$