POST UTME CRAWFORD UNIVERSITY 2018 Mathematics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
Let ( f(x) = 2x^2 + 3x - 1 ). Find the value of \( f\( -2 \ \) ).
A. -11
B. -9
C. -7
D. -5
Question 2
Find the determinant of the matrix \( egin{bmatrix} 2 & 3 \ 4 & 5 \end{bmatrix} \).
A. 1
B. 2
C. 3
D. 4
Question 3
Solve the inequality \( 2x^2 + 3x - 1 > 0 \).
A. x < -1
B. x > -1
C. x < 1
D. x > 1
Question 4
Find the area under the curve \( y = \frac{1}{2}x^2 + 3x - 2 \) from \( x = 0 \) to \( x = 4 \).
A. \( \frac{1}{2} \times 4^3 + 3 \times 4^2 - 2 \times 4 \)
B. \( \frac{1}{2} \times 4^2 + 3 \times 4 - 2 \)
C. \( \frac{1}{2} \times 4^3 + 3 \times 4^2 - 2 \times 4^2 \)
D. \( \frac{1}{2} \times 4^2 + 3 \times 4^3 - 2 \)
Question 5
Find the surface area of the solid formed by revolving the region bounded by y = x^2, x = 0, and x = 2 about the x-axis.
A. 16\pi
B. 32\pi
C. 64\pi
D. 128\pi
Question 6
Find the area of the circle with radius ( 4 ).
A. \( pi \times 4^2 \)
B. \( pi \times 4^3 \)
C. \( pi \times 4^4 \)
D. \( pi \times 4^5 \)
Question 7
Solve the equation \( \sin^2 x + \cos^2 x = 1 \) for x.
A. 0
B. \frac{\pi}{2}
C. \frac{\pi}{4}
D. \frac{3\pi}{4}
Question 8
A circle is inscribed in a square of side length 10. Find the area of the circle.
A. ( 50pi )
B. ( 100pi )
C. ( 200pi )
D. ( 250pi )
Question 9
Find the value of x in the equation \( \frac{x}{2} + \frac{3}{4} = \frac{7}{8} \).
A. 4
B. 5
C. 6
D. 7
Question 10
In the coordinate plane, the equation of a circle is given by \( x - h \ \)^2 + \( y - k \)^2 = r^2 ). If the center of the circle is at ( (h, k) = (3, 4) ) and the radius is 5, find the equation of the circle.
A. \( x - 3 \ \)^2 + \( y - 4 \)^2 = 25 )
B. \( x - 3 \ \)^2 + \( y - 4 \)^2 = 16 )
C. \( x - 3 \ \)^2 + \( y - 4 \)^2 = 36 )
D. \( x - 3 \ \)^2 + \( y - 4 \)^2 = 49 )
Question 11
Let X and Y be indep\endent random variables with probability density functions f_X(x) and f_Y(y), respectively. If E(X) = 2 and E(Y) = 3, find E(XY).
A. 6
B. 12
C. 18
D. 24
Question 12
Find the volume of the solid formed by revolving the region bounded by y = x^2, x = 0, and x = 2 about the x-axis.
A. \frac{32\pi}{3}
B. \frac{16\pi}{3}
C. \frac{64\pi}{3}
D. \frac{128\pi}{3}
Question 13
A histogram of exam scores has a mean of 60 and a s\tandard deviation of 10. If the scores are normally distributed, find the probability that a randomly selected score is greater than 70.
A. 0.25
B. 0.5
C. 0.75
D. 0.9
Question 14
Find the equation of the line pas\sing through the points ( (2, 3) ) and ( (4, 5) ).
A. \( y = \frac{5-3}{4-2}x + \frac{3 \times 4 - 5 \times 2}{4-2} \)
B. \( y = \frac{5-3}{4-2}x + \frac{3 \times 2 - 5 \times 4}{4-2} \)
C. \( y = \frac{5-3}{4-2}x + \frac{3 \times 4 + 5 \times 2}{4-2} \)
D. \( y = \frac{5-3}{4-2}x + \frac{3 \times 2 + 5 \times 4}{4-2} \)
Question 15
Find the area of the triangle with vertices [ A(1, 2), B(3, 4), C(5, 6) ].
A. 10
B. 20
C. 30
D. 40

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: