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 matrix has 4 elements, then which of the following cannot be the order of the matrix?
- A.$2 \times 2$
- B.$1 \times 4$
- C.$2 \times 3$
- D.$4 \times 1$
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2.If $A = \left[ \begin{array}{ll}2 & 3\\ 4 & 2 \end{array} \right]$ and $B = \left[ \begin{array}{ll}1 & 2\\ 3 & 4 \end{array} \right]$ then the matrix $BA$ is:
- A.$\left[ \begin{array}{ll}16 & 10\\ 10 & 16 \end{array} \right]$
- B.$\left[ \begin{array}{ll}11 & 10\\ 16 & 16 \end{array} \right]$
- C.$\left[ \begin{array}{ll}7 & 22\\ 17 & 10 \end{array} \right]$
- D.$\left[ \begin{array}{ll}10 & 7\\ 22 & 17 \end{array} \right]$
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3.Find $x$ and $y$, if $\begin{bmatrix} x & 3x \\ y & 4y \end{bmatrix} \begin{bmatrix} 2 \\ 1 \end{bmatrix} = \begin{bmatrix} 5 \\ 12 \end{bmatrix}$.
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4.Assertion: The product of two matrices $A_{2 \times 3}$ and $B_{3 \times 4}$ is possible and the order of the product matrix is $2 \times 4$.\nReason: The product $AB$ of two matrices $A$ and $B$ is possible if the number of columns in $A$ is equal to the number of rows in $B$. Also, the order of the product matrix $AB$ is the number of rows in $A \times$ the number of columns in $B$.\n\n(a) Both assertion and reason are correct and reason is the correct explanation of assertion.\n(b) Both assertion and reason are correct but reason is not the correct explanation of assertion.\n(c) Assertion is correct but reason is incorrect.\n(d) Assertion is incorrect but reason is correct.
- A.Both assertion and reason are correct and reason is the correct explanation of assertion.
- B.Both assertion and reason are correct but reason is not the correct explanation of assertion.
- C.Assertion is correct but reason is incorrect.
- D.Assertion is incorrect but reason is correct.
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5.If $A = \begin{bmatrix} 2 -3 \\ x y \end{bmatrix}$ and $A^2 = I_2$, what are the values of $x$ and $y$?
- A.$x = 1$, $y = -2$
- B.$x = -1$, $y = 2$
- C.$x = 2$, $y = -1$
- D.$x = -2$, $y = 1$
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