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Class 10 Mathematics Chapter 5 Test 3 | Algebraic Functions | Punjab Boards 2027
Class 10 Math Chapter 5 Test 3 New paper pattern 2027
Class 10 Mathematics Chapter 5 Test 3 – Algebraic Functions is a useful practice paper for students preparing for the Punjab Boards 2027 examinations. This test covers important concepts and questions from Chapter 5: Algebraic Functions, including rational expressions, simplification, algebraic fractions, factorization, and related problems. Students can use this Class 10 Math Test 3 for revision, self-assessment, and preparation according to the new board paper pattern.
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Unit Wise Class Test
T-3
Unit 5: Algebraic Functions
Time: 5 minutes
(Objective Type)
Total Marks: 5
(1 × 5 = 5)
(1 × 5 = 5)
1. Tick the correct answer.
(i)
The rational expression
x − y
x3 − y3
in lowest form is:
(ii)
Least common multiple of x + 1 and x2 − 1 is:
(iii)
a3
a − b
−
b3
a − b
=
(iv)
3
x − y
−
1
y − x
=
(v)
What we need to substitute to convert the equation
(x2 +
1
x2
)
− 3
(x +
1
x
)
+ 4 = 0
into a quadratic equation.
Unit Wise Class Test
T-3
Unit 5: Algebraic Functions
Time: 35 minutes
(Subjective Type)
Total Marks: 20
(6 × 2 = 12)
2. Write short answers to the following questions:
(i)
Reduce the following rational expressions to lowest forms:
2x2 + 17x + 21
3x2 + 26x + 35
(ii)
Simplify:
x + y
12x − 6y
+
x − y
18x − 9y
(iii)
Subtract
1
x2 + 2
from
2x3 + x2 + 3
(x2 + 2)2
.
(iv)
Simplify:
3a2 − 6ab
6ab
×
10b2
4ab − 8b2
(v)
Simplify:
x2 − 3x + 2
x2 + 3x − 4
×
2x2 + 8x
3x + 6
(vi)
Simplify:
a3
a − b
−
b3
b − a
Note: Answer the following Questions.
(4 + 4 = 8)
3. Simplify:
x3 − a3
x2 − 2bx + b2
×
x2 − bx − cx + bc
ax − x2
÷
x2 − cx
x − b
4. Simplify:
4x
x2 − 3x + 2
−
4
1 − x
−
5
x − 2
