POST UTME BELLS UNIVERSITY 2020 Mathematics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
Solve for ( x ) in the equation \( 2x + 5 = 11 \).
A. 3
B. 4
C. 5
D. 6
Question 2
A histogram of exam scores is shown below. If the mean score is 70 and the s\tandard deviation is 10, what is the probability that a randomly selected student scored above 80?
A. 0.25
B. 0.30
C. 0.35
D. 0.40
Question 3
Determine the value of $\frac{d}{dx} \left\( \frac{1}{x^2 + 1} \right \)$ u\sing the chain rule.
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 4
Solve the inequality \( 2x^2 + 5x - 3 > 0 \).
A. \( x < -\frac{3}{2} \) or \( x > \frac{1}{2} \)
B. \( x < -\frac{1}{2} \) or \( x > \frac{3}{2} \)
C. \( x < -\frac{1}{2} \) or \( x < \frac{1}{2} \)
D. \( x > -\frac{3}{2} \) or \( x < \frac{1}{2} \)
Question 5
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 mean height of the students.
A. 169.4 cm, 181.6 cm
B. 170.5 cm, 180.5 cm
C. 168.5 cm, 182.5 cm
D. 171.5 cm, 179.5 cm
Question 6
Find the area of the triangle with vertices ( A(1, 2) ), ( B(3, 4) ), and ( C(2, 1) ).
A. ( 5 )
B. ( 10 )
C. ( 15 )
D. ( 20 )
Question 7
A bakery sells a total of 480 loaves of bread per day. They sell a combination of whole wheat and white bread. If the ratio of whole wheat to white bread is 5:4, how many loaves of whole wheat bread are sold per day?
A. 100
B. 120
C. 150
D. 200
Question 8
A matrix A is given by \[ A = \begin{bmatrix} 2 & 1 4 & 3 \end{bmatrix} \]. Find the determinant of matrix A.
A. 1
B. 2
C. 3
D. 4
Question 9
Solve for x in the equation \( 2x^2 + 5x - 3 = 0 \).
A. x = -1.5, x = 2
B. x = -2, x = 1.5
C. x = 1, x = -3
D. x = 2, x = -1
Question 10
A company produces x units of a product and incurs a fixed \cost of ₦5000 and a variable \cost of ₦200 per unit. If the selling price is ₦300 per unit, find the break-even point.
A. x = 20
B. x = 25
C. x = 30
D. x = 35
Question 11
Find the derivative of the function ( f(x) = \frac{1}{\sqrt{x}} ) u\sing the chain rule.
A. ( f'(x) = -\frac{1}{2}x^{-\frac{3}{2}} )
B. ( f'(x) = \frac{1}{2}x^{-\frac{3}{2}} )
C. ( f'(x) = -\frac{1}{2}x^{-\frac{1}{2}} )
D. ( f'(x) = \frac{1}{2}x^{-\frac{1}{2}} )
Question 12
Find the area of the triangle with vertices $(0, 0)$, $(3, 0)$, and $(0, 2)$.
A. 6
B. 12
C. 18
D. 24
Question 13
Solve the inequality $|x - 2| > 3$.
A. x < -1 \text{ or } x > 5
B. x > -1 \text{ or } x < 5
C. x < 1 \text{ or } x > 5
D. x > 1 \text{ or } x < 5
Question 14
Find the equation of the line pas\sing through the points (2, 3) and (4, 5).
A. y = x + 1
B. y = x - 1
C. y = -x + 3
D. y = x + 3
Question 15
Solve for x in the equation \( \frac{x}{2} + 5 = 11 \).
A. 6
B. 12
C. 18
D. 24

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: