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.Given the matrix equation $\left[ \begin{array}{cc} x + 2y & u - 2v \\ x - 2y & 2u + v \end{array} \right] = \left[ \begin{array}{cc} 11 & 8 \\ 3 & 6 \end{array} \right]$, what are the values of $x$, $y$, $u$, and $v$?
- A.x = 5, y = 3, u = 2, v = 1
- B.x = 7, y = 2, u = 4, v = 2
- C.x = 6, y = 2.5, u = 3, v = 1
- D.x = 8, y = 1.5, u = 5, v = 1
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2.If $ A = \begin{bmatrix} -1 & 1 \\ a & b \end{bmatrix} $ and $ A^2 = I $, find $ a $ and $ b $.
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3.Evaluate the following matrix multiplication: $$\begin{bmatrix} \cos 45^\circ & \sin 30^\circ \\ \sqrt{2} \cos 0^\circ & \sin 0^\circ \end{bmatrix} \begin{bmatrix} \sin 45^\circ & \cos 90^\circ \\ \sin 90^\circ & \cot 45^\circ \end{bmatrix}$$
- A.$$\begin{bmatrix} 1 & \frac{1}{2} \\ 1 & 0 \end{bmatrix}$$
- B.$$\begin{bmatrix} \frac{1}{2} & 1 \\ 0 & 1 \end{bmatrix}$$
- C.$$\begin{bmatrix} 1 & 0 \\ \frac{1}{2} & 1 \end{bmatrix}$$
- D.$$\begin{bmatrix} 0 & 1 \\ 1 & \frac{1}{2} \end{bmatrix}$$
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4.If $ A = \begin{bmatrix} 3 & a \\ -4 & 8 \end{bmatrix} $, $ B = \begin{bmatrix} c & 4 \\ -3 & 0 \end{bmatrix} $, $ C = \begin{bmatrix} -1 & 4 \\ 3 & b \end{bmatrix} $ and $ 3A - 2C = 6B $, find the values of $ a, b $ and $ c $.
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5.Given $A = \begin{bmatrix} 1 & 0 \\ -1 & 7 \end{bmatrix}$ and $A^2 = 8A + kI$, the value of $k$ is:
- A.$k = -7$
- B.$k = 7$
- C.$k = -1$
- D.$k = 1$
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