POST UTME BSU 2017 Mathematics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A histogram of exam scores is shown below. If the mean score is 75 and the s\tandard deviation is 10, what is the probability that a randomly selected student scored above 85?
A. 0.25
B. 0.30
C. 0.35
D. 0.40
Question 2
A random sample of 25 students from a university had a mean height of 175.5 cm with a s\tandard deviation of 5.2 cm. If the population s\tandard deviation is unknown, calculate the 95% confidence interval for the population mean.
A. 168.3 cm, 182.7 cm
B. 170.5 cm, 180.5 cm
C. 172.5 cm, 178.5 cm
D. 174.5 cm, 176.5 cm
Question 3
Solve the trigonometric equation \( \sin^2 x + \cos^2 x = 1 \)
A. x = 0
B. x = 90
C. x = 180
D. x = 270
Question 4
Solve the inequality \( 2x^2 + 5x - 3 > 0 \).
A. x<-3 or x>1
B. x<-1 or x>3
C. x<-1 or x<3
D. x>1 or x<3
Question 5
A sequence is defined as \( a_n = 2n + 1 \). Find the sum of the first 5 terms of the sequence.
A. 15
B. 20
C. 25
D. 30
Question 6
Solve for x in the equation \( \frac{1}{2}x^2 + 5x - 3 = 0 \)
A. x = -10
B. x = 6
C. x = -6
D. x = 10
Question 7
Find the equation of the circle with center ( (2, 3) ) and radius ( 4 ).
A. \( x - 2 \ \)^2 + \( y - 3 \)^2 = 16 )
B. \( x - 3 \ \)^2 + \( y - 2 \)^2 = 16 )
C. \( x - 4 \ \)^2 + \( y - 3 \)^2 = 16 )
D. \( x - 3 \ \)^2 + \( y - 4 \)^2 = 16 )
Question 8
A company produces two products, A and B. The profit on product A is ₦100 and the profit on product B is ₦150. If the company produces 5 units of product A and 3 units of product B, what is the total profit?
A. ₦750
B. ₦800
C. ₦850
D. ₦900
Question 9
Solve the system of equations [ \begin{array}{c} x + y = 2 \ x - y = 1 \end{array} \].
A. (1, 1)
B. \( 1, -1 \)
C. \( -1, 1 \)
D. \( -1, -1 \)
Question 10
A circle with center O passes through points A and B. If OA = 5 cm and OB = 7 cm, find the length of AB.
A. 2\sqrt{25 - \frac{AB^2}{4}}
B. 2\sqrt{25 + \frac{AB^2}{4}}
C. 2\sqrt{25 - \frac{AB^2}{2}}
D. 2\sqrt{25 + \frac{AB^2}{2}}
Question 11
Find the area under the curve [ y = x^2 \] from [ x = 0 \] to [ x = 1 \].
A. 1/3
B. 1/2
C. 2/3
D. 1
Question 12
Solve the quadratic equation \( x^2 + 4x + 4 = 0 \) u\sing the quadratic formula. What is the value of ( x )?
A. 0
B. -2
C. 2
D. -4
Question 13
Find the area under the curve \( y = \frac{1}{2}x^2 \) from \( x = 0 \) to \( x = 4 \).
A. \( \frac{16}{3} \)
B. ( 8 )
C. ( 4 )
D. ( 2 )
Question 14
Find the mean of the data set ( { 2, 4, 6, 8, 10 } ).
A. 5
B. 6
C. 7
D. 8
Question 15
Solve the system of equations u\sing matrices: \begin{align*} x + y + z &= 6 \ 2x + 3y + z &= 11 \ x + 2y + 3z &= 7 \end{align*}
A. \begin{bmatrix} 1 \ 2 \ 3 \end{bmatrix}
B. \begin{bmatrix} 2 \ 3 \ 4 \end{bmatrix}
C. \begin{bmatrix} 3 \ 4 \ 5 \end{bmatrix}
D. \begin{bmatrix} 4 \ 5 \ 6 \end{bmatrix}

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: