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Class 10 Mathematics Chapter 3 Test 1 | Matrices and Determinants | Punjab Board paper pattern 2027
Class 10 Math Chapter 3 Test 1
Class 10 Mathematics Chapter 3 Test 1 on Matrices and Determinants is designed according to the Punjab Board examination pattern. This Class 10 Math Test 1 covers important concepts of Matrices and Determinants and provides useful practice for students preparing for the Class 10 Mathematics Board Exam 2027. Students can use this Chapter 3 Mathematics Test for revision, self-assessment, and board exam preparation.
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Unit Wise Class Test
Test No. 1
Unit 3: Matrices and Determinants
Time: 5 minutes
(Objective Type)
Total Marks: 5
1. Tick the correct answer.
(1 × 5 = 5)
(i) Adjoint of a matrix
A =
[
1 −1
2 0
]
is:
(ii) A matrix A is called singular if:
(iii) Which of the following is a linear equation?
(iv) If
[
a + 2
2 + 1
]
=
[
7
3
]
then a =
(v) Determinant of the matrix
A =
[
3 0
0 0
]
is:
Unit Wise Class Test
Test No. 1
Unit 3: Matrices and Determinants
Time: 35 minutes
(Subjective Type)
Total Marks: 20
2. Write short answers to the following questions:
(6 × 2 = 12)
(i) Find AB and BA, if possible.
A =
[
1 −2
]
,
B =
[
3
−4
]
(ii) Verify each statement, using
A =
[
5 1
−1 4
]
,
B =
[
2 −1
0 3
]
and
C =
[
5 1
1 4
]
.
AB ≠ BA
(iii) Find the values of each of the determinant.
[
3 8
0 2
]
(iv) Find the value of x when
A =
[
x 6
5 15
]
is a singular matrix.
(v) Find multiplicative inverse of the following matrices:
[
40 8
5 2
]
(vi) Solve by matrix inversion method, if possible.
3x + 2y = 2
x − 2y = −2
x − 2y = −2
Note: Answer the following Questions.
(4 + 4 = 8)
3. If
[
4 a
b 3
]
[
6
6
]
=
[
6
3
]
,
then find the values of a and b.
4. An electrical engineer wants to determine the current
in two branches A and B of a simple electrical circuit.
The system of the equations is:
x + y = 7
2x − y = 2
where x is the current in branch A and y is the current in
branch B. Find x and y by using matrices.
2x − y = 2
