Chapter 10 · Class 10 ICSE · Free Worksheet PDF

Matrix Sums for Class 10 — Free ICSE Worksheet PDF with Answers

Download a free printable matrices worksheet for Class 10 ICSE with 30 practice questions covering matrix operations, addition, subtraction, multiplication, transpose, determinant, and inverse of matrices. Includes complete answer key. ICSE-aligned for the 2025-26 syllabus.

Last updated: 5 May 2026

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30 questions (Easy + Medium + Hard) with answer key. Fresh set generated daily.

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Sample Matrices Sums for Class 10 — Practice Questions

Here are 8 sample matrices sums from this Class 10 ICSE worksheet. Download the full PDF for all 30 questions with answers.

Q1.What is the order of the matrix A=(3542)A = \begin{pmatrix} 3 & 5 \\ 4 & -2 \end{pmatrix}?
A.1×21 \times 2
B.2×12 \times 1
C.2×22 \times 2
D.4×14 \times 1

Difficulty: Easy

Q2.If A=(2513)A = \begin{pmatrix} 2 & 5 \\ 1 & 3 \end{pmatrix} and B=(4126)B = \begin{pmatrix} 4 & 1 \\ 2 & 6 \end{pmatrix}, find A+BA + B.
A.(6639)\begin{pmatrix} 6 & 6 \\ 3 & 9 \end{pmatrix}
B.(6439)\begin{pmatrix} 6 & 4 \\ 3 & 9 \end{pmatrix}
C.(6629)\begin{pmatrix} 6 & 6 \\ 2 & 9 \end{pmatrix}
D.(8639)\begin{pmatrix} 8 & 6 \\ 3 & 9 \end{pmatrix}

Difficulty: Easy

Q3.If A=(7238)A = \begin{pmatrix} 7 & 2 \\ 3 & 8 \end{pmatrix} and B=(4125)B = \begin{pmatrix} 4 & 1 \\ 2 & 5 \end{pmatrix}, find ABA - B.
A.(3113)\begin{pmatrix} 3 & 1 \\ 1 & 3 \end{pmatrix}
B.(3313)\begin{pmatrix} 3 & 3 \\ 1 & 3 \end{pmatrix}
C.(113513)\begin{pmatrix} 11 & 3 \\ 5 & 13 \end{pmatrix}
D.(3153)\begin{pmatrix} 3 & 1 \\ 5 & 3 \end{pmatrix}

Difficulty: Easy

Q4.Find 3A3A if A=(2145)A = \begin{pmatrix} 2 & -1 \\ 4 & 5 \end{pmatrix}.
A.(631215)\begin{pmatrix} 6 & -3 \\ 12 & 15 \end{pmatrix}
B.(611215)\begin{pmatrix} 6 & -1 \\ 12 & 15 \end{pmatrix}
C.(63415)\begin{pmatrix} 6 & -3 \\ 4 & 15 \end{pmatrix}
D.(5278)\begin{pmatrix} 5 & 2 \\ 7 & 8 \end{pmatrix}

Difficulty: Easy

Q5.Which of the following is a null (zero) matrix?
A.(0000)\begin{pmatrix} 0 & 0 \\ 0 & 0 \end{pmatrix}
B.(1001)\begin{pmatrix} 1 & 0 \\ 0 & 1 \end{pmatrix}
C.(0110)\begin{pmatrix} 0 & 1 \\ 1 & 0 \end{pmatrix}
D.(1001)\begin{pmatrix} -1 & 0 \\ 0 & -1 \end{pmatrix}

Difficulty: Easy

Q6.The unit (identity) matrix of order 2 is:
A.(1001)\begin{pmatrix} 1 & 0 \\ 0 & 1 \end{pmatrix}
B.(1111)\begin{pmatrix} 1 & 1 \\ 1 & 1 \end{pmatrix}
C.(0000)\begin{pmatrix} 0 & 0 \\ 0 & 0 \end{pmatrix}
D.(2002)\begin{pmatrix} 2 & 0 \\ 0 & 2 \end{pmatrix}

Difficulty: Easy

Q7.If (x+34y4x+y)=(5439)\begin{pmatrix} x+3 & 4 \\ y-4 & x+y \end{pmatrix} = \begin{pmatrix} 5 & 4 \\ 3 & 9 \end{pmatrix}, find xx and yy.
A.x=2,y=7x = 2, y = 7
B.x=7,y=2x = 7, y = 2
C.x=3,y=6x = 3, y = 6
D.x=2,y=7x = -2, y = 7

Difficulty: Easy

Q8.If A=(0110)A = \begin{pmatrix} 0 & 1 \\ 1 & 0 \end{pmatrix}, then A2=A^2 =
A.(1001)\begin{pmatrix} 1 & 0 \\ 0 & 1 \end{pmatrix}
B.(0000)\begin{pmatrix} 0 & 0 \\ 0 & 0 \end{pmatrix}
C.(0110)\begin{pmatrix} 0 & 1 \\ 1 & 0 \end{pmatrix}
D.(1111)\begin{pmatrix} 1 & 1 \\ 1 & 1 \end{pmatrix}

Difficulty: Easy

Answer Key — Sample Questions+
Q1:$2 \times 2$
Q2:$\begin{pmatrix} 6 & 6 \\ 3 & 9 \end{pmatrix}$
Q3:$\begin{pmatrix} 3 & 1 \\ 1 & 3 \end{pmatrix}$
Q4:$\begin{pmatrix} 6 & -3 \\ 12 & 15 \end{pmatrix}$
Q5:$\begin{pmatrix} 0 & 0 \\ 0 & 0 \end{pmatrix}$
Q6:$\begin{pmatrix} 1 & 0 \\ 0 & 1 \end{pmatrix}$
Q7:$x = 2, y = 7$
Q8:$\begin{pmatrix} 1 & 0 \\ 0 & 1 \end{pmatrix}$

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About This Worksheet

TopicMatrices
BoardICSE
Class10
Total Questions30 (10 Easy + 10 Medium + 10 Hard)
Answer KeyIncluded
PriceFree

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Frequently Asked Questions

Where can I download free matrices sums for Class 10?+
You can download a free Matrices PDF worksheet for Class 10 ICSE right here on SparkEd. The worksheet includes 30 practice questions (matrix operations, addition, subtraction, multiplication, transpose, determinant, and inverse of matrices) at easy, medium, and hard levels with a complete answer key.
How many matrices questions are in this Class 10 worksheet?+
This SparkEd worksheet for Matrices Class 10 contains 30 questions — 10 easy, 10 medium, and 10 hard. The questions cover matrix operations, addition, subtraction, multiplication, transpose, determinant, and inverse of matrices. A fresh set is generated daily so students never repeat the same sheet.
Does the Matrices worksheet for Class 10 include answers?+
Yes! Every SparkEd worksheet comes with a complete answer key. Students can self-check their work after completing the sheet. The PDF is free to download and print.
Is this matrices worksheet aligned to ICSE syllabus?+
Yes. This worksheet is specifically designed for Class 10 ICSE students and aligned to the 2025-26 ICSE syllabus. All questions follow the ICSE exam pattern and difficulty level.
Can I print this Matrices worksheet?+
Absolutely! The worksheet downloads as an A4-size PDF that is ready to print. It includes the questions, space for working, and a separate answer key — perfect for classroom use or home practice.
How is this worksheet different from NCERT textbook exercises?+
SparkEd worksheets go beyond NCERT exercises by providing 30 questions at 3 progressive difficulty levels. Level 1 (Easy) builds confidence, Level 2 (Medium) tests application, and Level 3 (Hard) prepares for exams. Each worksheet includes word problems and conceptual questions, not just computation.

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SparkEd Maths provides free printable maths worksheets for Class 1-10 across CBSE, ICSE, IB, Olympiad, UP Board, Maharashtra SSC, and TN Board. Every worksheet includes an answer key and is aligned to the 2025-26 syllabus.