POST UTME SKYLINE UNIVERSITY 2020 Mathematics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A circle has a diameter of 10 cm. Find the area of the circle.
A. 50π
B. 100π
C. 200π
D. 250π
Question 2
Find the value of $x$ in the equation $\log_{10}\( x^2 \) = 4$.
A. 10
B. 100
C. 1000
D. 10000
Question 3
The mean of five numbers is $25$. If one of the numbers is $10$, find the sum of the other four numbers.
A. 90
B. 100
C. 110
D. 120
Question 4
A set of data has a mean of 25 and a s\tandard deviation of 3. If the data is normally distributed, find the probability that a randomly selected value is between 20 and 30.
A. 0.68
B. 0.80
C. 0.90
D. 0.95
Question 5
A line passes through the points ( (1, 2) ) and ( (3, 4) ). Find the equation of the line.
A. \( y = 2x - 1 \)
B. \( y = 2x + 1 \)
C. \( y = -2x + 1 \)
D. \( y = 2x - 2 \)
Question 6
Solve the inequality \( 2x^2 + 5x - 3 > 0 \).
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 7
Find the area under the curve \( y = \frac{1}{2}x^2 \) from \( x = 0 \) to \( x = 4 \).
A. \( \frac{16}{3} \)
B. \( \frac{32}{3} \)
C. \( \frac{64}{3} \)
D. \( \frac{128}{3} \)
Question 8
A line passes through the points (2, 3) and (4, 5). Find the equation of the line in slope-intercept form.
A. y = x + 1
B. y = x - 1
C. y = -x + 3
D. y = x - 3
Question 9
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. \( x - 2 \ \)^2 + \( y - 4 \)^2 = 16 )
Question 10
Solve the inequality \( x^2 - 4x + 3 > 0 \).
A. \( x < -1 \) or \( x > 3 \)
B. \( x < 1 \) or \( x > 3 \)
C. \( x < -3 \) or \( x > 1 \)
D. \( x < 3 \) or \( x > 1 \)
Question 11
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 = 20
C. \( x - 2 \)^2 + \( y - 3 \)^2 = 24
D. \( x - 2 \)^2 + \( y - 3 \)^2 = 28
Question 12
A fair six-sided die is rolled. What is the probability that the number rolled is greater than $4$?
A. \( \frac{1}{6} \)
B. \( \frac{1}{3} \)
C. \( \frac{2}{3} \)
D. \( \frac{5}{6} \)
Question 13
A rec\tangular prism has a length of 6 cm, a width of 4 cm, and a height of 3 cm. Find the surface area of the prism.
A. 60
B. 80
C. 100
D. 120
Question 14
Solve the equation \( 2x^2 + 5x - 3 = 0 \) u\sing the quadratic formula.
A. \( x = \frac{-5 pm \sqrt{109}}{4} \)
B. \( x = \frac{-5 pm \sqrt{121}}{4} \)
C. \( x = \frac{-5 pm \sqrt{169}}{4} \)
D. \( x = \frac{-5 pm \sqrt{225}}{4} \)
Question 15
Find the area under the curve \[ f(x) = \begin{cases} 2x + 1, & \text{if } x < 2 \ 3x - 2, & \text{if } x \geq 2 \end{cases} \] from x = 0 to x = 4.
A. 14
B. 16
C. 18
D. 20

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: