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.Find the matrix $ A $, if $ B = \begin{bmatrix} 2 & 1 \\ 0 & 1 \end{bmatrix} $ and $ B^2 = B + \frac{1}{2} A $. Which of the following represents the matrix $ A $?
- A.$\begin{bmatrix} 2 & 2 \\ 0 & 2 \end{bmatrix}$
- B.$\begin{bmatrix} 4 & 4 \\ 0 & 0 \end{bmatrix}$
- C.$\begin{bmatrix} 1 & 1 \\ 0 & 0 \end{bmatrix}$
- D.$\begin{bmatrix} 2 & 2 \\ 0 & 0 \end{bmatrix}$
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2.If $ A = \begin{bmatrix} 4 & 2 \\ 1 & 1 \end{bmatrix} $, find the value of $(A - 2I)(A - 3I)$. Choose the correct matrix from the options below.
- A.$\begin{bmatrix} 0 & 0 \\ 0 & 0 \end{bmatrix}$
- B.$\begin{bmatrix} 2 & 0 \\ 0 & -2 \end{bmatrix}$
- C.$\begin{bmatrix} 1 & 4 \\ 2 & -1 \end{bmatrix}$
- D.$\begin{bmatrix} 4 & 2 \\ 1 & -5 \end{bmatrix}$
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3.Find $x$ and $y$, if: $$[3x \quad 8] \begin{bmatrix} 1 & 4 \\ 3 & 7 \end{bmatrix} -3 \quad [2 \quad -7] = 5 \quad [3 \quad 2y]$$
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4.If $3 \cdot \begin{bmatrix} 2 & x \\ 1 & 0 \end{bmatrix} + 2 \cdot \begin{bmatrix} 4 & 3 \\ y & 2 \end{bmatrix} = \begin{bmatrix} z & -3 \\ 15 & 4 \end{bmatrix}$, what are the values of $x$, $y$, and $z$?
- A.$x = -3$, $y = 6$, $z = 14$
- B.$x = 3$, $y = 3$, $z = 10$
- C.$x = -6$, $y = 9$, $z = 12$
- D.$x = 0$, $y = 5$, $z = 16$
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5.Find the matrix $M$, such that $M \times \begin{bmatrix} 3 & 6 \\ -2 & -8 \end{bmatrix} = [-2 \quad 16]$
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