POST UTME CRAWFORD UNIVERSITY 2025 Mathematics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
Solve the system of linear equations: \( \begin{cases} x + 2y - 3z = 7 \ x - 2y + 3z = -11 \ 2x + 4y - 6z = 16 \end{cases} \).
A. x = 1, y = 2, z = 3
B. x = 2, y = 3, z = 4
C. x = 3, y = 4, z = 5
D. x = 4, y = 5, z = 6
Question 2
Find the area of the triangle with vertices (A(1, 2)), (B(3, 4)), and (C(2, 1)).
A. ( 5 )
B. ( 10 )
C. ( 15 )
D. ( 20 )
Question 3
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. 48\pi
B. 64\pi
C. 80\pi
D. 96\pi
Question 4
Solve for x in the equation \( 2^x = 16 \).
A. x = 2
B. x = 3
C. x = 4
D. x = 5
Question 5
Find the area under the curve \( y = \frac{1}{x^2 + 1} \) from \( x = 0 \) to \( x = 1 \).
A. \( \frac{pi}{4} \)
B. \( \frac{pi}{2} \)
C. \( \frac{pi}{6} \)
D. \( \frac{pi}{3} \)
Question 6
Solve the system of equations \( x + y = 4 \) and \( x - y = 2 \).
A. x = 3, y = 1
B. x = 1, y = 3
C. x = 2, y = 2
D. x = 4, y = 0
Question 7
Find the area under the curve \( y = \frac{1}{x^2} \) from \( x = 1 \) to \( x = 2 \).
A. \( \frac{1}{2} \)
B. \( \frac{1}{3} \)
C. \( \frac{1}{4} \)
D. \( \frac{1}{5} \)
Question 8
Solve the inequality \( \frac{x^2 - 4x + 3}{x^2 - 2x - 3} > 0 \).
A. \( x < -1 \) or \( x > 3 \)
B. \( x < 1 \) or \( x > 3 \)
C. \( x < -1 \) or \( x < 3 \)
D. \( x > 1 \) or \( x < 3 \)
Question 9
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{2}{6}
C. \frac{3}{6}
D. \frac{4}{6}
Question 10
Express the decimal number 0.000123 in scientific notation.
A. 1.23 \times 10^{-4}
B. 1.23 \times 10^{-5}
C. 1.23 \times 10^{-6}
D. 1.23 \times 10^{-7}
Question 11
Solve the equation x^2 + 4x + 4 = 0.
A. x = -2
B. x = -1
C. x = 1
D. x = 2
Question 12
Find the area under the curve \( y = \frac{1}{2}x^2 + 3x - 2 \) from \( x = 0 \) to \( x = 4 \).
A. 64
B. 80
C. 96
D. 112
Question 13
Find the area under the curve \( y = \frac{1}{2}x^2 + 3x - 2 \) from \( x = 0 \) to \( x = 4 \).
A. 40
B. 50
C. 60
D. 70
Question 14
Solve for ( x ) in the equation \( 2x - 5 = 3x + 2 \).
A. -7
B. -5
C. 1
D. 3
Question 15
A circle passes through the points (2, 3) and (4, 5). Find the equation of the circle.
A. \( x - 3 \)^2 + \( y - 4 \)^2 = 5^2
B. \( x - 2 \)^2 + \( y - 3 \)^2 = 4^2
C. \( x - 4 \)^2 + \( y - 5 \)^2 = 3^2
D. \( x - 5 \)^2 + \( y - 3 \)^2 = 4^2

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