Post Utme Ebonyi State University Mathematics Past Questions and Answers

Question 1:

An investor who invested N6,500/00 at some simple interest rate collected a total amount of $\mathrm{N}7,800.00$ after four years. How much simple interest would he have collected after two years if he had invested $N9,000,00$ ?

A. N1,000.00
B. $\mathrm{N}10,000,00$
C. $N5,400,00$
D. $19900.00$

Question 2:

Differentiate $(\cos \theta +\sin \theta {)}^2$ with respect to $\theta$

A. $2\cos 2\theta$
B. $2\sin 2\theta$
C. $-2\cos 2\theta$
D. $-2\sin 2\theta$

Question 3:

If the sum of the roots of the equation $2x^2-5px+8=0$ is five times the product of the roots, find the value of $p$.

A. $-8$
B. $\frac{1}{2}$
C. 8
D. $-\frac{1}{2}$

Question 4:

Find the area of the region enclosed by the curve $y=2-x^2$ and the line $y=-x$

A. $3/2$
B. 9
C. 3
D $9/2$

Question 5:

If $x-1$ is a factor of $3x^2-p{x}^2+5x-3p$, find the value of $p$

A. $-2$
B. 2
C. $1/2$
D. $-1/2$