POST UTME OAU 2025 Mathematics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
Find the value of x in the equation \( \log_{10} \( x^2 \ \) = 4 ).
A. 10
B. 100
C. 1000
D. 10000
Question 2
Solve for x in the equation: \( x^2 + 4x + 4 = 0 \).
A. -2
B. -1
C. 1
D. 2
Question 3
A circle has a radius of 4 cm. If the area of the circle is 50.24 cm^2, what is the circumference of the circle?
A. 10π
B. 20π
C. 25π
D. 30π
Question 4
Find the area under the curve \( y = x^2 \) from \( x = 0 \) to \( x = 4 \).
A. 32
B. 64
C. 128
D. 256
Question 5
Find the equation of the \tangent line to the curve \( y = x^2 - 2x + 1 \) at the point (1, 0).
A. y = -2x + 1
B. y = 2x - 1
C. y = x - 1
D. y = x + 1
Question 6
Solve the inequality \( 2x^2 + 5x - 3 > 0 \).
A. \( -∞, -1 \) ∪ (3, ∞)
B. \( -∞, 1 \) ∪ (3, ∞)
C. \( -∞, -1 \) ∪ (1, ∞)
D. \( -∞, 3 \) ∪ (1, ∞)
Question 7
A survey of 100 students found that 70% of them preferred Mathematics, 20% preferred Science, and 10% preferred English. If 5 students were randomly selected, what is the probability that at least 2 of them preferred Mathematics?
A. 0.25
B. 0.5
C. 0.75
D. 0.9
Question 8
Find the determinant of the matrix \( egin{bmatrix} 1 & 2 & 3 \ 4 & 5 & 6 \ 7 & 8 & 9 \end{bmatrix} \).
A. 0
B. 1
C. 2
D. 3
Question 9
Determine the mean of the following dataset: 2, 4, 6, 8, 10. If the mean is increased by 2, what is the new mean?
A. 12
B. 14
C. 16
D. 18
Question 10
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. 24π
B. 30π
C. 36π
D. 42π

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