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} 3 & x \\ 0 & 1 \end{bmatrix} $ and $ B = \begin{bmatrix} 9 & 16 \\ 0 & -y \end{bmatrix} $, find the values of $ x $ and $ y $ when $ A^2 = B $.
- A.$x = 4$, $y = -1$
- B.$x = 4$, $y = 1$
- C.$x = 2$, $y = -1$
- D.$x = 8$, $y = 1$
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2.Let $A = \begin{bmatrix} 1 & 0 \\ 2 & 1 \end{bmatrix}$, $B = \begin{bmatrix} 2 & 3 \\ -1 & 0 \end{bmatrix}$, then find $A^2 + AB + B^2$.
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3.If $ \begin{bmatrix} 1 & 2 \\ 2 & 9 \end{bmatrix} \begin{bmatrix} x \\ y \end{bmatrix} = \begin{bmatrix} 2 \\ 9 \end{bmatrix} $, then the values of $ x $ and $ y $ are:
- A.$ x = 10, y = 0 $
- B.$ x = 5, y = 4 $
- C.$ x = 0, y = 1 $
- D.$ x = 4, y = 5 $
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4.If $A = \begin{bmatrix} 1 & 3 \\ 2 & 4 \end{bmatrix}$, $B = \begin{bmatrix} 1 & 2 \\ 2 & 4 \end{bmatrix}$, $C = \begin{bmatrix} 4 & 1 \\ 1 & 5 \end{bmatrix}$ and $I = \begin{bmatrix} 1 & 0 \\ 0 & 1 \end{bmatrix}$, find $A(B + C) - 14I$.
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5.If $A = \left[ \begin{array}{rr} 5 & -1 \\ 6 & 7 \end{array} \right]$ and $B = \left[ \begin{array}{rr} 2 & 1 \\ 3 & 4 \end{array} \right]$, then which of the following is correct?
- A.$AB = BA$
- B.$AB \neq BA$
- C.$AB = \left[ \begin{array}{cc} 7 & -1 \\ 9 & 22 \end{array} \right]$
- D.$BA = \left[ \begin{array}{cc} 16 & -5 \\ 39 & 25 \end{array} \right]$
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