POST UTME WELLSPRING UNIVERSITY 2025 Mathematics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
Find the derivative of ( f(x) = \frac{1}{x^2 + 1} ) u\sing the chain rule.
A. -\frac{2x}{\( x^2 + 1 \)^2}
B. \frac{2x}{\( x^2 + 1 \)^2}
C. -\frac{1}{\( x^2 + 1 \)^2}
D. \frac{1}{\( x^2 + 1 \)^2}
Question 2
Solve for x in the equation \( \log_{2} \( x^2 \ \) = 4 ).
A. 16
B. 8
C. 4
D. 2
Question 3
Find the equation of the circle with center at (2, 3) and radius 4.
A. \( x - 2 \)^2 + \( y - 3 \)^2 = 16
B. \( x - 2 \)^2 + \( y - 3 \)^2 = 4
C. \( x - 2 \)^2 + \( y - 3 \)^2 = 9
D. \( x - 2 \)^2 + \( y - 3 \)^2 = 25
Question 4
Find the equation of the circle with center \( -2, 3 \) and radius 4.
A. \[ \( x + 2 \)^2 + \( y - 3 \)^2 = 16 \]
B. \[ \( x - 2 \)^2 + \( y + 3 \)^2 = 16 \]
C. \[ \( x + 2 \)^2 + \( y + 3 \)^2 = 16 \]
D. \[ \( x - 2 \)^2 + \( y - 3 \)^2 = 16 \]
Question 5
Find the equation of the circle with center \( -2, 3 \) and radius 4.
A. \( x+2 \ \)^2 + \( y-3 \)^2 = 16 )
B. \( x-2 \ \)^2 + \( y+3 \)^2 = 16 )
C. \( x+2 \ \)^2 + \( y+3 \)^2 = 16 )
D. \( x-2 \ \)^2 + \( y-3 \)^2 = 16 )
Question 6
Find the sum of the first 10 terms of the arithmetic progression 2, 5, 8, ...
A. 55
B. 65
C. 75
D. 85
Question 7
Find the derivative of the function f(x) = 3x^2 + 2x - 5 u\sing the chain rule.
A. 6x + 2
B. 6x^2 + 2
C. 6x^2 + 2x
D. 6x + 2x^2
Question 8
Find the equation of the line pas\sing through the points (1, 2) and (3, 4).
A. y = x + 1
B. y = x - 1
C. y = 2x - 1
D. y = -2x + 1
Question 9
A binary operation ( odot ) is defined as \( a odot b = a^2 + b^2 \). Find ( 3 odot 4 ).
A. 25
B. 26
C. 27
D. 28
Question 10
Let ( f(x) = x^2 + 2x + 1 ). Find the derivative of ( f(x) ) u\sing the chain rule.
A. 2x + 2
B. 2x + 1
C. x^2 + 2
D. x^2 + 1
Question 11
Find the equation of the line pas\sing through the points (2, 3) and (4, 5).
A. \[ y = \frac{2}{2}x + 1 \]
B. \[ y = \frac{2}{2}x - 1 \]
C. \[ y = \frac{2}{2}x + 2 \]
D. \[ y = \frac{2}{2}x - 2 \]
Question 12
A rec\tangular garden measures 10m by 5m. Find the area of the garden.
A. 50m^2
B. 75m^2
C. 60m^2
D. 40m^2
Question 13
A fair six-sided die is rolled. What is the probability that the number rolled is greater than 4?
A. \frac{1}{3}
B. \frac{2}{3}
C. \frac{1}{2}
D. \frac{1}{6}
Question 14
Find the derivative of the function [ f(x) = \frac{1}{x^2 + 1} ].
A. -\frac{2x}{\( x^2 + 1 \)^2}
B. \frac{2x}{\( x^2 + 1 \)^2}
C. -\frac{2}{\( x^2 + 1 \)^2}
D. \frac{2}{\( x^2 + 1 \)^2}
Question 15
A right circular cone has a height of 20 cm and a base radius of 10 cm. Find the volume of the cone.
A. 1000 \pi
B. 2000 \pi
C. 3000 \pi
D. 4000 \pi

Master the Exam!

You've seen a preview, but there are thousands more questions plus AI tutor to break down complex solutions.

Unlock Full Access Available for Android & Windows
Help others prepare! Share this practice hub: