POST UTME CRAWFORD UNIVERSITY 2018 Mathematics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
Find the area of the triangle with vertices ( A(0, 0) ), ( B(3, 0) ), and ( C(0, 4) ).
A. 12
B. 15
C. 18
D. 20
Question 2
Find the determinant of the matrix A = egin{bmatrix} 2 & 1 & 3 \ 4 & 2 & 5 \ 6 & 3 & 7 \end{bmatrix}.
A. -1
B. 1
C. 2
D. 3
Question 3
A right-angled triangle has sides of length 3, 4, and 5. Find the area of the triangle.
A. ( 6 )
B. ( 8 )
C. ( 10 )
D. ( 12 )
Question 4
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 5
Find the derivative of f(x) = \frac{1}{x^2 + 1} u\sing the chain rule.
A. -\frac{2x}{\( x^2 + 1 \)^2}
B. \frac{2x}{\( x^2 + 1 \)^2}
C. -\frac{2}{\( x^2 + 1 \)^2}
D. \frac{2}{\( x^2 + 1 \)^2}
Question 6
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 7
Let ( f(x) = 2x^2 + 3x - 1 ). Find the value of \( f\( -2 \ \) ).
A. -11
B. -9
C. -7
D. -5
Question 8
Simplify the expression \sqrt[3]{64x^3y^3} u\sing the properties of radicals.
A. 4x^3y^3
B. 4xy
C. 4x^3y
D. 4x^3y^3
Question 9
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 10
Find the derivative of the function [ f(x) = \frac{1}{x^2 + 1} ].
A. -\frac{2x}{\( x^2 + 1 \)^2}
B. \frac{2x}{\( x^2 + 1 \)^2}
C. \frac{-2x}{\( x^2 + 1 \)^2}
D. \frac{2}{\( x^2 + 1 \)^2}
Question 11
A binary operation ( odot ) on the set of real numbers is defined as \( a odot b = ab + 2 \). Find ( 3 odot 4 ).
A. 14
B. 16
C. 18
D. 20
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 vector ( mathbf{a} ) is given by \( mathbf{a} = 2mathbf{i} + 3mathbf{j} \). Find the magnitude of the vector.
A. \( \sqrt{13} \)
B. \( \sqrt{5} \)
C. \( \sqrt{7} \)
D. \( \sqrt{9} \)
Question 14
Let X and Y be indep\endent random variables with probability density functions f_X(x) = 2x, 0 < x < 1, and f_Y(y) = 3y^2, 0 < y < 1. Find P\( X > Y \).
A. \frac{1}{2}
B. \frac{1}{3}
C. \frac{2}{3}
D. \frac{3}{4}
Question 15
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

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: