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 values of $x$ and $y$ that satisfy the equation: $\begin{bmatrix} 2x x \\ y 3y \end{bmatrix} \begin{bmatrix} 3 \\ 2 \end{bmatrix} = \begin{bmatrix} 16 \\ 9 \end{bmatrix}$.
- A.$x = 1$, $y = 2$
- B.$x = 2$, $y = 1$
- C.$x = 3$, $y = 0$
- D.$x = 0$, $y = 3$
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2.Given matrix $A = \left[ \begin{array}{c} 5 \\ -3 \end{array} \right]$ and matrix $B = \left[ \begin{array}{c} -1 \\ 7 \end{array} \right]$, find matrix $X$ such that $A + 2X = B$. What is the value of matrix $X$?
- A.$\left[ \begin{array}{c} -3 \\ 5 \end{array} \right]$
- B.$\left[ \begin{array}{c} 3 \\ -5 \end{array} \right]$
- C.$\left[ \begin{array}{c} -6 \\ 10 \end{array} \right]$
- D.$\left[ \begin{array}{c} 2 \\ -2 \end{array} \right]$
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3.Given, $A = \begin{bmatrix} 2 & 0 \\ -1 & 7 \end{bmatrix}$ and $I = \begin{bmatrix} 1 & 0 \\ 0 & 1 \end{bmatrix}$ and $A^2 = 9A + mI$. Find $m$.
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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.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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