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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 Exercise No. 4.3 and Review Exercise 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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Exercise 4.3 & Review Exercise
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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Exercise 4.3 & Review Exercise
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
