POST UTME NOUN 2020 Mathematics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
Find the quadratic equation in the form \( ax^2 + bx + c = 0 \) whose roots are 2 and 3.
A. x^2 - 5x + 6 = 0
B. x^2 + 5x + 6 = 0
C. x^2 - 5x - 6 = 0
D. x^2 + 5x - 6 = 0
Question 2
Find the volume of the frustum of a cone with height 6 cm, lower base radius 4 cm, and upper base radius 2 cm.
A. 24\pi cm^3
B. 32\pi cm^3
C. 48\pi cm^3
D. 64\pi cm^3
Question 3
Solve the system of equations \( egin{cases} x + 2y = 3 \ 3x - 2y = 5 \end{cases} \).
A. \( egin{cases} x = 1 \ y = 1 \end{cases} \)
B. \( egin{cases} x = 2 \ y = 1 \end{cases} \)
C. \( egin{cases} x = 1 \ y = 2 \end{cases} \)
D. \( egin{cases} x = 2 \ y = 2 \end{cases} \)
Question 4
Find the value of x in the equation \frac{x}{x + 1} = \frac{3}{4}.
A. \frac{3}{5}
B. \frac{4}{5}
C. \frac{5}{6}
D. \frac{6}{7}
Question 5
A polynomial ( p(x) ) is defined as ( p(x) = x^3 - 2x^2 + x - 1 ). Find the value of \( p\( -1 \ \) ).
A. 1
B. -1
C. 0
D. 2
Question 6
Solve the equation x^2 - 4x - 5 = 0.
A. x = -1 \pm \sqrt{6}
B. x = 1 \pm \sqrt{6}
C. x = -1 \pm \sqrt{5}
D. x = 1 \pm \sqrt{5}
Question 7
Solve for x in the equation \( \log_{10} \( x^2 \ \) = 4 ).
A. 10
B. 100
C. 1000
D. 10000
Question 8
Find the value of x in the equation \log_{10} \( x^2 \) = 4.
A. 10^4
B. 10^8
C. 10^{4/2}
D. 10^{4/3}
Question 9
Find the area of the triangle with vertices ( A(0, 0), B(2, 0), C(1, 2) ).
A. ( 2 )
B. ( 4 )
C. ( 6 )
D. ( 8 )
Question 10
Solve the equation \sqrt{x + 2} = 3.
A. x = 7
B. x = 5
C. x = 9
D. x = 11
Question 11
Solve the inequality x^2 + 4x - 5 > 0.
A. \( -\infty, -5 \) \cup \( 1, \infty \)
B. \( -\infty, -5 \) \cup (1, 5)
C. \( -\infty, -5 \) \cup \( 5, \infty \)
D. \( -\infty, 5 \) \cup \( 5, \infty \)
Question 12
Let f(x) = 3x^2 + 2x - 5 and g(x) = 2x^2 - 3x + 1. Find the value of \( f + g \)(2).
A. 25
B. 30
C. 35
D. 40
Question 13
Solve the equation \( \log_{10} \( x^2 \) = 4 \) for x.
A. 10
B. 20
C. 40
D. 80
Question 14
A histogram of exam scores has a mean of 75 and a s\tandard deviation of 10. If 80% of the scores lie within 2 s\tandard deviations of the mean, what is the range of scores?
A. 40-110
B. 50-120
C. 60-130
D. 70-140
Question 15
Two events, A and B, are indep\endent. If P(A) = 0.4 and P(B) = 0.6, what is the probability that both events occur?
A. 0.2
B. 0.4
C. 0.6
D. 0.8

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: