POST UTME NOUN 2022 Mathematics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
Find the equation of the circle with center (3, 4) and radius 5.
A. \( x - 3 \)^2 + \( y - 4 \)^2 = 25
B. \( x - 3 \)^2 + \( y - 4 \)^2 = 30
C. \( x - 3 \)^2 + \( y - 4 \)^2 = 35
D. \( x - 3 \)^2 + \( y - 4 \)^2 = 40
Question 2
Solve the inequality \( 2x^2 + 5x - 3 > 0 \).
A. \( x < -1 \) or \( x > \frac{3}{2} \)
B. \( x < -1 \) or \( x < \frac{3}{2} \)
C. \( x > -1 \) or \( x > \frac{3}{2} \)
D. \( x < -1 \) or \( x > \frac{3}{2} \)
Question 3
Find the equation of the line pas\sing through the points (1, 2) and (3, 4).
A. y = 2x - 1
B. y = 2x + 1
C. y = -2x + 3
D. y = -2x - 3
Question 4
Find the area under the curve \( y = x^2 + 2x - 3 \) from x = 0 to x = 2
A. 5
B. 6
C. 7
D. 8
Question 5
A bag contains 5 red balls, 4 blue balls, and 3 green balls. If a ball is randomly selected, what is the probability that it is either red or blue?
A. 0.8
B. 0.6
C. 0.4
D. 0.2
Question 6
Find the volume of the frustum of a cone with height 6 cm, lower base radius 4 cm, and upper base radius 2 cm.
A. \frac{1}{3} \pi \( 4^2 + 2^2 + 4 \cdot 4 \cdot 2 \) (6)
B. \frac{1}{3} \pi \( 4^2 + 2^2 + 4 \cdot 4 \cdot 2 \) (12)
C. \frac{1}{3} \pi \( 4^2 + 2^2 + 4 \cdot 4 \cdot 2 \) (18)
D. \frac{1}{3} \pi \( 4^2 + 2^2 + 4 \cdot 4 \cdot 2 \) (24)
Question 7
In a random sample of 100 students, the mean height is 175 cm with a s\tandard deviation of 5 cm. If the distribution of heights is approximately normal, what is the probability that a randomly selected student will be taller than 180 cm?
A. 0.1587
B. 0.3413
C. 0.5
D. 0.8413
Question 8
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 9
Find the value of x in the equation \( \frac{1}{2}x + 5 = \frac{3}{4}x - 3 \)
A. 6
B. 8
C. 10
D. 12
Question 10
Solve for x in the inequality \( 2x - 5 > 3x + 2 \)
A. -1
B. 1
C. 3
D. 5
Question 11
Solve the system of linear equations u\sing matrices: [ egin{cases} 2x + 3y = 7 \ x - 2y = -3 \end{cases} ].
A. [x = 1, y = 2]
B. [x = 2, y = 1]
C. [x = 1, y = 1]
D. [x = 2, y = 2]
Question 12
A car travels from city A to city B at an average speed of 60 km/h and returns at an average speed of 40 km/h. If the dis\tance between the two cities is 240 km, what is the average speed for the entire trip?
A. 48
B. 50
C. 52
D. 54
Question 13
Find the determinant of the matrix \( \begin{bmatrix} 2 & 3 & 4 \ 5 & 6 & 7 \ 8 & 9 & 10 \end{bmatrix} \).
A. 0
B. 1
C. 2
D. 3
Question 14
Find the sum of the first 5 terms of the geometric series ( 2, 6, 18, 54, ... )
A. 120
B. 150
C. 180
D. 200
Question 15
Solve the inequality \(\log_2 \( x^2 - 4 \) > 2\).
A. x > 2
B. x < -2
C. x > 4
D. x < -4

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: