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} -1 & 1 \\ a & b \end{bmatrix} $ and $ A^2 = I $, find the values of $ a $ and $ b $.
   • A.$a = 0$, $b = 1$
   • B.$a = 1$, $b = 0$
   • C.$a = -1$, $b = 1$
   • D.$a = 0$, $b = -1$
2. 2.If $A = \begin{bmatrix} 3 & 5 \\ 4 & -2 \end{bmatrix}$ and $B = \begin{bmatrix} 2 \\ 4 \end{bmatrix}$, is the product AB possible? Give a reason. If yes, which of the following represents AB?
   • A.No, because the number of columns in A does not match the number of rows in B.
   • B.Yes, because the number of columns in A equals the number of rows in B, and AB is $\begin{bmatrix} 26 \\ 0 \end{bmatrix}$.
   • C.Yes, because the number of rows in A equals the number of columns in B, and AB is $\begin{bmatrix} 26 \\ 0 \end{bmatrix}$.
   • D.No, because matrix multiplication is never possible when one matrix is a column matrix.
3. 3.Find a $(2 \times 2)$ matrix $X$ such that $\begin{bmatrix} 3 & 7 \ 2 & 4 \end{bmatrix} \begin{bmatrix} 0 & 2 \ 5 & 3 \end{bmatrix} + 2X = \begin{bmatrix} 1 & -5 \ -4 & 6 \end{bmatrix}$.
4. 4.If $\left[ \begin{array}{ll}1 & 2\\ 3 & 4 \end{array} \right]X = \left[ \begin{array}{l}2\\ 1 \end{array} \right]$, then the order of matrix $X$ is
   • A.$1 \times 2$
   • B.$2 \times 1$
   • C.$2 \times 2$
   • D.$1 \times 1$
5. 5.If $ A = \begin{bmatrix} -2 & 3 \\ 4 & 5 \end{bmatrix} $ and $ B = \begin{bmatrix} -5 & 2 \\ -7 & 3 \end{bmatrix} $, then the matrix $ C $, such that $ A + B - C = O $ is:
   • a.$ \begin{bmatrix} -3 & -5 \\ 3 & -8 \end{bmatrix} $
   • b.$ \begin{bmatrix} -7 & 1 \\ 9 & 2 \end{bmatrix} $
   • c.$ \begin{bmatrix} 7 & -1 \\ -9 & -2 \end{bmatrix} $
   • d.$ \begin{bmatrix} 3 & 5 \\ -3 & 8 \end{bmatrix} $