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 matrix $A = \begin{bmatrix} 2 & 2 \\ 0 & 2 \end{bmatrix}$ and $A^2 = \begin{bmatrix} 4 & x \\ 0 & 4 \end{bmatrix}$, then the value of $x$ is:
- A.2
- B.4
- C.8
- D.10
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2.If $A = \begin{bmatrix} 2 & 3 \\ 0 & -2 \end{bmatrix}$ and $B = \begin{bmatrix} -8 \\ 8 \end{bmatrix}$, which matrix $X$ satisfies $2AX = B$?
- A.$\begin{bmatrix} 1 \\ -2 \end{bmatrix}$
- B.$\begin{bmatrix} -2 \\ 1 \end{bmatrix}$
- C.$\begin{bmatrix} 2 \\ -1 \end{bmatrix}$
- D.$\begin{bmatrix} -1 \\ 2 \end{bmatrix}$
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3.Find a matrix $X$ satisfying $A^2 = A + 2X$ if $A = \begin{bmatrix} 3 & 4 \\ 2 & -1 \end{bmatrix}$.
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4.Find the values of $x$ and $y$ that satisfy the equation: $$\begin{bmatrix} 3 & -2 \\ -1 & 4 \end{bmatrix} \begin{bmatrix} 2x \\ 1 \end{bmatrix} + 2 \begin{bmatrix} -4 \\ 5 \end{bmatrix} = 4 \begin{bmatrix} 2 \\ y \end{bmatrix}$$
- A.$x = 2$, $y = 3$
- B.$x = 1$, $y = 4$
- C.$x = 3$, $y = 2$
- D.$x = -2$, $y = 1$
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5.If $A = \begin{bmatrix} 0 & 1 \\ 1 & 0 \end{bmatrix}$ then $A^2$ is equal to
- a.$\left[ \begin{array}{ll}1 & 1\\ 0 & 0 \end{array} \right]$
- b.$\left[ \begin{array}{ll}0 & 0\\ 1 & 1 \end{array} \right]$
- c.$\left[ \begin{array}{ll}1 & 0\\ 0 & 1 \end{array} \right]$
- d.$\left[ \begin{array}{ll}0 & 1\\ 1 & 0 \end{array} \right]$
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