POST UTME BOWEN UNIVERSITY 2017 Mathematics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
The mean of the numbers 2, 4, 6, 8, 10 is 6. Find the median.
A. 6
B. 7
C. 8
D. 9
Question 2
A vector Δπ is defined as Δπ = πₑ - πₒ. What is the magnitude of Δπ?
A. |Δπ| = |πₑ| - |πₒ|
B. |Δπ| = |πₑ| + |πₒ|
C. |Δπ| = |πₑ| - |πₒ|
D. |Δπ| = |πₑ| × |πₒ|
Question 3
A histogram of exam scores is shown below. What is the median score?
A. 70
B. 75
C. 80
D. 85
Question 4
A polynomial function f(x) = x^3 - 6x^2 + 11x - 6 is given. What is the value of f\( -1 \)?
A. 1
B. -1
C. 0
D. 6
Question 5
Find the equation of the line pas\sing through the points (2, 3) and (4, 5).
A. \boxed{y = 1x + 1}
B. y = 2x + 1
C. y = x + 1
D. y = 2x - 1
Question 6
In a binary system, what is the decimal equivalent of the binary number 1011?
A. 11
B. 13
C. 15
D. 17
Question 7
In a certain number base, the digits 1, 2, and 3 represent the values 2, 5, and 8, respectively. What is the value of the number 432 in this base?
A. 19
B. 21
C. 23
D. 25
Question 8
Find the sum of the first 10 terms of the geometric series with first term 2 and common ratio 3.
A. 1.999999999
B. 2.999999999
C. 3.999999999
D. 4.999999999
Question 9
A histogram is a graphical representation of the distribution of a set of data. What is the primary purpose of a histogram?
A. To show the mean of the data
B. To show the median of the data
C. To show the distribution of the data
D. To show the range of the data
Question 10
In a certain number base, the representation of the number 27 is 101. What is the value of the number base?
A. 3
B. 4
C. 5
D. 6
Question 11
Solve for x in the equation \( \frac{1}{2}x^2 + 5x - 3 = 0 \).
A. x = -10
B. x = 6
C. x = -3
D. x = 2
Question 12
Find the value of \sum_{n=1}^{\infty} \frac{1}{n^2}.
A. \boxed{\frac{\pi^2}{6}}
B. \frac{\pi^2}{12}
C. \frac{\pi^2}{24}
D. \frac{\pi^2}{48}
Question 13
A polynomial function f(x) has a degree of 4 and the following properties: f(1) = 2, f\( -1 \) = -2, f(0) = 0, f(2) = 10. Find the value of f(3).
A. 30
B. 40
C. 50
D. 60
Question 14
In a right-angled triangle, the length of the hypotenuse is 10 cm and one of the other sides is 6 cm. Find the length of the third side u\sing the co\sine rule.
A. 8
B. 12
C. 16
D. 20
Question 15
Solve the inequality \frac{x - 2}{x + 1} > 0.
A. \boxed{\( -\infty, -1 \) \cup \( 2, \infty \)}
B. \( -\infty, 2 \) \cup \( 2, \infty \)
C. \( -\infty, -1 \) \cup \( 1, \infty \)
D. \( -\infty, 1 \) \cup \( 2, \infty \)

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