Education
Class 10 Mathematics Unit 5 Algebraic Functions Test 2 | Punjab Boards Paper Pattern 2027
Class 10 chapter 5 Test 2 New Paper pattern 2027
Prepare for Class 10 Mathematics Unit 5: Algebraic Functions
with this complete Unit Wise Class Test 2 based on the
Punjab Boards paper pattern. This test includes objective-type MCQs and
subjective questions covering exponential equations, reciprocal equations,
reduced quadratic equations, algebraic equations and word problems. It is
useful for Class 10 Mathematics preparation, Unit 5 test practice,
Punjab Board 2027 paper pattern and school-level examination
preparation.
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Unit Wise Class Test
T-2
Unit 5: Algebraic Functions
Time: 5 minutes
(Objective Type)
Total Marks: 5
1. Tick the correct answer.
(1 × 5 = 5)
(i)
The equation
5x4 − 19x2 + 12 = 0
in reduced quadratic form is:
(ii)
Lowest form of
15xyz
z2 + z
is:
(iii)
Arshia and Ibrahim complete a job together in 4 hours.
If job rate of Arshia is x and of Ibrahim is y,
then mathematical equation in this scenario is:
(iv)
To reduce the equation
x4 − 16x2 + 63 = 0
into a quadratic equation, we need to suppose that:
(v)
Solution of the equation
x +
1
x
= 2
is x =
Unit Wise Class Test
T-2
Unit 5: Algebraic Functions
Time: 35 minutes
(Subjective Type)
Total Marks: 20
2. Write short answers to the following questions:
(6 × 2 = 12)
(i)
Define Exponential Equation with example.
(ii)
Solve:
4x − 3 · 2x + 3 + 128 = 0
(iii)
Solve the following equations:
3x + 33 − x − 12 = 0
(iv)
Solve:
(x + 1)(x + 2)(x − 5)(x − 6) = 144
(v)
Define Reciprocal Equation with example.
(vi)
Solve the following equations:
5x4 − 19x2 + 12 = 0
Note: Answer the following Questions.
(4 + 4 = 8)
3.
Solve:
3
(
x2 +
1
x2
)
+ 4
(
x +
1
x
)
− 14 = 0
4.
A cyclist travels 30 km at a certain speed.
If the speed had been 5 km/h faster, the journey would have
taken 1 hour less. Find the speed.
