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Class 10 Mathematics Chapter 4 Test 2 | Functions and Graphs | New Paper Pattern 2027
10th Class Math Chapter 4 Test 2 Punjab Board 2027
Class 10 Mathematics Chapter 4 Test 2 is designed for students preparing Functions and Graphs according to the Punjab Board new syllabus and board paper pattern 2027. This test covers important concepts including functions, inverse functions, one-to-one functions, graphs, absolute value equations and inequalities, and applications of functions. Students can use this Class 10 Math Chapter 4 Test 2 for classroom practice, revision, test preparation, and Punjab Board examination preparation.
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Unit Wise Class Test
T-2
Unit 4: Functions and Graphs
Time: 5 minutes
(Objective Type)
Total Marks: 5
(1 × 5 = 5)
Tick the correct answer.
1. Which of the following function is such that
f(x) = f-1(x)?
2. Which of the following is graph of a one-to-one function?
3. Solution of
|v − 5| = 100, v =
4. A function
B(t) = 5000 + 200t
represents the total balance after t month.
Find the time in month when Balance will be 6000.
5. Shape of the graph of parabola function is:
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Unit Wise Class Test
T-2
Unit 4: Functions and Graphs
Time: 35 minutes
(Subjective Type)
Total Marks: 20
2. Write short answers to the following questions:
(6 × 2 = 12)
(i)
Let E(n) = 1,500n is the total earning
(in Rs.) function, where n is the number
of days. If labourer works 10 days, find his earning.
(ii)
An earthquake sensor issues a warning if the recorded magnitude
differs from a safe level of 4.5 by more than 1.2 units.
The condition is modeled by
|M − 4.5| > 1.2.
For which values of magnitude M will
the sensor issue a warning?
(iii)
A function
f(k) = 150 + 20k
represents the total fare (in rupees) for after
k kilometres.
How much will the fare be for a 12 kilometres ride?
(iv)
Find f−1(x), if:
f(x) =
5
x − 1
, x ≠ 1
(v)
A company earns a profit of Rs. 100 for each item sold after a
fixed monthly expense of Rs. 10,000. A function
P(x) = 100x − 10,000
represents the profit after selling x
items. How many items must be sold to break even (profit = 0)?
(vi)
A store offers a 15% discount on a product.
A function D(p) = 0.85p
gives the selling price after the discount on an original price
p. What is the selling price of an item
that originally costs Rs. 2,000?
Note: Answer the following Questions.
(4 + 4 = 8)
3.
A chemical reaction is stable at 37°C. The process must be stopped
if the temperature deviates by more than 2.5°C. The condition is
modeled as:
|T − 37°| > 2.5°,
T being the temperature.
For what temperature values must the process be stopped?
4.
Solve and express the solution on number line:
|6x + 1| = 9