POST UTME BABCOCK UNIVERSITY 2025 Mathematics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
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 + \( y - 2 \)^2 = 16 )
D. \( x - 2 \ \)^2 + \( y - 4 \)^2 = 16 )
Question 2
Find the area under the curve \( y = \frac{1}{x^2 + 1} \) from \( x = 0 \) to \( x = 1 \).
A. \( \frac{pi}{2} \)
B. \( \frac{pi}{4} \)
C. \( \frac{pi}{6} \)
D. \( \frac{pi}{8} \)
Question 3
Solve the inequality \( 2x^2 + 5x - 3 > 0 \).
A. x < -1 or x > 3/2
B. x > -1 or x < 3/2
C. x < -1 or x < 3/2
D. x > -1 or x > 3/2
Question 4
Solve the equation x^2 + 2x - 6 = 0 u\sing the quadratic formula.
A. 1
B. -2
C. -3
D. 4
Question 5
Solve for x in the equation \( \frac{1}{2}x^2 + 3x - 2 = 0 \)
A. 1
B. -2
C. 4
D. -1
Question 6
Find the volume of the solid formed by rotating the region bounded by the curves y = 2x^2 + 1, y = 0, and x = 1 about the x-axis.
A. π/3
B. π/2
C. π/4
D. π/6
Question 7
A binary operation * on the set of integers is defined as a*b = a + b - ab. Find the value of 2*3.
A. 1
B. 2
C. 3
D. 4
Question 8
Find the determinant of the matrix \( \begin{bmatrix} 1 & 2 & 3 \ 4 & 5 & 6 \ 7 & 8 & 9 \end{bmatrix} \).
A. 0
B. 1
C. 2
D. 3
Question 9
In a binary system, what is the value of the number represented by the sequence 1011?
A. 3
B. 5
C. 7
D. 9
Question 10
A binary number 1011 is converted to decimal. Find the decimal equivalent.
A. 11
B. 12
C. 13
D. 14
Question 11
Solve the quadratic equation \( x^2 + 4x + 4 = 0 \) u\sing the quadratic formula.
A. -2
B. -1
C. 0
D. 1
Question 12
A circle has a radius of 4 cm. Find the area of the circle.
A. 50.24 cm^2
B. 100.48 cm^2
C. 200.96 cm^2
D. 25.13 cm^2
Question 13
Find the value of \( \log_{10} \( 1000 \ \) ).
A. ( 3 )
B. ( 4 )
C. ( 5 )
D. ( 6 )
Question 14
The mean of a set of 5 numbers is 10. If one of the numbers is 15, find the sum of the remaining 4 numbers.
A. 35
B. 40
C. 45
D. 50
Question 15
Find the mean of the following data set: 2, 4, 6, 8, 10.
A. 6
B. 8
C. 10
D. 12

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