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.
What to expect: This mock test covers key concepts from the Matrices chapter — including application-based and competency-focused questions aligned with how ICSE actually sets the paper.
Tip: Attempt without notes first to identify gaps, then review explanations for any wrong answers. Retake after a few days for best retention.
Sample questions
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1.If $A = \begin{bmatrix} 1 & 1 \\ 1 & 1 \end{bmatrix}$ and $B = \begin{bmatrix} 1 & -1 \\ -1 & 1 \end{bmatrix}$, which of the following correctly describes the product of matrices A and B?
- A.$AB = BA = \begin{bmatrix} 0 & 0 \\ 0 & 0 \end{bmatrix}$
- B.$AB = \begin{bmatrix} 0 & 0 \\ 0 & 0 \end{bmatrix}$ but $BA = \begin{bmatrix} 2 & -2 \\ -2 & 2 \end{bmatrix}$
- C.$AB = BA = \begin{bmatrix} 2 & 0 \\ 0 & 2 \end{bmatrix}$
- D.$AB = \begin{bmatrix} 1 & -1 \\ -1 & 1 \end{bmatrix}$ and $BA = \begin{bmatrix} 1 & 1 \\ 1 & 1 \end{bmatrix}$
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2.Find a $(2 \times 2)$ matrix $X$ such that $\begin{bmatrix} 3 & 7 \ 2 & 4 \end{bmatrix} \begin{bmatrix} 0 & 2 \ 5 & 3 \end{bmatrix} + 2X = \begin{bmatrix} 1 & -5 \ -4 & 6 \end{bmatrix}$.
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3.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.$\begin{bmatrix} -7 & 5 \\ 6 & 0 \end{bmatrix}$
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4.Let $A = \left[ \begin{array}{cc} 0 & 1 \\ 5 & -1 \end{array} \right]$, $B = \left[ \begin{array}{cc} 1 & -3 \\ 0 & -2 \end{array} \right]$, and $C = \left[ \begin{array}{cc} 2 & -5 \\ 4 & 0 \end{array} \right]$. Find the value of $(3A + 4B - 5C)$ and select the correct matrix from the options below.
- A.$\left[ \begin{array}{cc} -6 & 16 \\ -5 & -11 \end{array} \right]$
- B.$\left[ \begin{array}{cc} 6 & -16 \\ 5 & 11 \end{array} \right]$
- C.$\left[ \begin{array}{cc} -6 & -16 \\ -5 & -1 \end{array} \right]$
- D.$\left[ \begin{array}{cc} -4 & 10 \\ -3 & -7 \end{array} \right]$
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5.Find the matrix $X$ such that $X + \left[ \begin{array}{cc} 4 & 6 \\ -3 & 7 \end{array} \right] = \left[ \begin{array}{cc} 3 & 1 \\ -5 & -2 \end{array} \right]$.
- A.$X = \left[ \begin{array}{cc} -1 & -5 \\ -2 & -9 \end{array} \right]$
- B.$X = \left[ \begin{array}{cc} 7 & 7 \\ -8 & 5 \end{array} \right]$
- C.$X = \left[ \begin{array}{cc} -1 & 5 \\ 2 & -9 \end{array} \right]$
- D.$X = \left[ \begin{array}{cc} 1 & -5 \\ -2 & 9 \end{array} \right]$
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