POST UTME ABU 2025 Mathematics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A set of 4 coins contains 2 nickels and 2 dimes. If a coin is selected at random, what is the probability that it is a nickel?
A. \frac{1}{2}
B. \frac{1}{3}
C. \frac{2}{3}
D. \frac{3}{4}
Question 2
Solve for x in the equation \( \frac{1}{x+2} + \frac{1}{x-3} = \frac{1}{2} \).
A. x = 5
B. x = -1
C. x = 2
D. x = -3
Question 3
A matrix A is given by \( A = \begin{bmatrix} 2 & 3 \ 4 & 5 \end{bmatrix} \). Find the determinant of A.
A. 1
B. 2
C. 3
D. 4
Question 4
In a trigonometric identity, if \( \tan^2 x + 1 = sec^2 x \), find the value of \( \sin x \) in terms of \( \cos x \).
A. \sin^2 x
B. \cos^2 x
C. \tan^2 x
D. \cot^2 x
Question 5
A histogram of exam scores has a mean of 75 and a s\tandard deviation of 10. If the scores are normally distributed, what is the probability that a randomly selected score is between 60 and 90?
A. 0.68
B. 0.95
C. 0.99
D. 0.999
Question 6
Find the sum of the first 10 terms of the geometric series $\sum_{n=1}^{10} 2^n$.
A. 2047
B. 2048
C. 2049
D. 2050
Question 7
Solve the system of equations \begin{align*} x + y &= 4 \ x - y &= 2 \end{align*}.
A. \begin{pmatrix} 1 \ 3 \end{pmatrix}
B. \begin{pmatrix} 2 \ 2 \end{pmatrix}
C. \begin{pmatrix} 3 \ 1 \end{pmatrix}
D. \begin{pmatrix} 4 \ 0 \end{pmatrix}
Question 8
A particle moves along the curve \( y = x^3 - 6x^2 + 9x + 2 \) with a velocity of \( \frac{dy}{dx} = 3x^2 - 12x + 9 \). Find the acceleration of the particle at the point where \( x = 1 \).
A. \( 6x - 12 \)
B. \( 3x^2 - 12x + 9 \)
C. \( 6x^2 - 12x + 9 \)
D. \( 3x^2 - 12x + 9 \)
Question 9
Find the area of the region bounded by the curves y = x^2 and y = 2x.
A. 4/3
B. 2/3
C. 1/3
D. 4/5
Question 10
Solve the inequality \( 2x^2 + 5x - 3 > 0 \).
A. x < -1
B. x > 1
C. x < 3
D. x > -3
Question 11
Find the volume of the solid formed by revolving the region bounded by $y = x^2$, $y = 0$, and $x = 1$ about the $x$-axis.
A. \frac{1}{3}\pi
B. \frac{2}{3}\pi
C. \frac{4}{3}\pi
D. \frac{5}{3}\pi
Question 12
Find the equation of the \tangent line to the curve y = x^2 + 2x - 3 at the point (1, 2).
A. y = 4x - 1
B. y = 4x + 1
C. y = 4x - 3
D. y = 4x + 3
Question 13
A quadratic equation is given by \( x^2 + 4x + 4 = 0 \). Solve for x.
A. -2
B. -1
C. 0
D. 1
Question 14
A binary operation ( odot ) is defined as \( a odot b = ab^2 \). Find the value of ( 2 odot 3 ).
A. 18
B. 24
C. 36
D. 48
Question 15
A sequence is defined by the recurrence relation \( a_n = 2a_{n-1} + 3 \). If \( a_1 = 2 \), find the value of \( a_{10} \).
A. 1023
B. 1024
C. 1025
D. 1026

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: