POST UTME PAN-ATLANTIC UNIVERSITY 2022 Mathematics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A sequence is defined as: 1, 2, 4, 8, ... . Find the next term in the sequence.
A. 16
B. 32
C. 64
D. 128
Question 2
Solve the inequality \( x^2 - 4x + 3 > 0 \).
A. x < 1 or x > 3
B. x < 3 or x > 1
C. x < 1 or x < 3
D. x > 1 or x > 3
Question 3
A histogram of exam scores has a mean of 60 and a s\tandard deviation of 10. If the scores are normally distributed, what is the probability that a randomly selected score is between 50 and 70?
A. 0.3413
B. 0.3415
C. 0.3417
D. 0.3419
Question 4
Find the area of the triangle with vertices (0, 0), (2, 0), and (0, 3).
A. 3
B. 6
C. 9
D. 12
Question 5
A sequence is defined by \( a_n = 2n + 1 \). Find the sum of the first 5 terms.
A. 15
B. 20
C. 25
D. 30
Question 6
Solve the inequality \( \frac{x}{2} + 1 > 3 \).
A. x > 4
B. x < 4
C. x > 2
D. x < 2
Question 7
Find the equation of the circle with center \( -2, 3 \) and radius 4.
A. \left\( x + 2 \right \)^2 + \left\( y - 3 \right \)^2 = 16
B. \left\( x - 2 \right \)^2 + \left\( y + 3 \right \)^2 = 16
C. \left\( x + 2 \right \)^2 + \left\( y + 3 \right \)^2 = 16
D. \left\( x - 2 \right \)^2 + \left\( y - 3 \right \)^2 = 16
Question 8
A histogram shows the distribution of exam scores for a class of 20 students. The histogram has 5 bars, each representing a different score range. The heights of the bars are 2, 4, 5, 6, and 3, respectively. Find the mean score of the class.
A. 5.5
B. 6.5
C. 7.5
D. 8.5
Question 9
A set of numbers is defined as \( S = \{ x | x^2 - 4x + 3 = 0 \} \ \). Find the elements of S.
A. \{1, 3\}
B. \{-1, 3\}
C. \{1, -3\}
D. \{-1, -3\}
Question 10
Find the value of k such that the equation \( x^2 + kx + 16 = 0 \) has equal roots.
A. 8
B. -8
C. 4
D. -4
Question 11
Find the value of \( \log_{10} (100) \).
A. 1
B. 2
C. 3
D. 4
Question 12
Find the area under the curve of ( f(x) = 2x^2 + 3x - 1 ) from \( x = 0 \) to \( x = 2 \).
A. 10
B. 12
C. 15
D. 18
Question 13
Find the derivative of the function ( f(x) = 3x^2 + 2x - 5 ).
A. 6x + 2
B. 6x - 2
C. 3x + 2
D. 3x - 2
Question 14
A sequence is defined by \[ a_n = \frac{1}{n^2} \] for \[ n = 1, 2, 3, \ldots \]. Find the sum of the first 10 terms of the sequence.
A. \frac{1}{90}
B. \frac{1}{80}
C. \frac{1}{70}
D. \frac{1}{60}
Question 15
A histogram is constructed from the following data: 2, 4, 5, 7, 8, 9, 10. What is the class width of the histogram?
A. 1
B. 2
C. 3
D. 4

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