Post Utme University of Calabar Mathematics Past Questions and Answers

Question 1:

$$\begin{array}{|crrrrrr|}\hline Amount(inNaira)& 3& 6& 9& 12& 15& 18\\ NumberofStudents& 3& 9& 6& 15& 3& 12\\ \hline\end{array}$$

Find the median of the distribution

A. $N3.00$
B. N9.00
C. $N12.00$
D. N15.00
E. N18.00

Question 2:

Factorize: $3a^2-11a+6$

A. $(3a-2)(a-3)$
B. $(2a-2)(a-3)$
C. $(3a+2)(a-3)$
D. $(2a-3)(a+2)$

Question 3:

The number of telephone call $N$ between two cities $A$ and $B$ varies directly as the population $P_A{P}_B$ in $A$ and $B$ respectively and inversely as the square of the distance $D$ between $A$ and $B$. Which of the following equations represents this relation?

A. $N=\frac{k{p}_A}{D^2}+\frac{C{P}_n}{D^2}$
B. $N=\frac{k{p}_A{P}_{\text{U }}}{D^2}$
C. $N=k{P}_A{P}_B$
D. $N=kD{P}_A+CDP{B}_B$
E. $N=k{D}^2{P}_A{B}_D$

Question 4:

In a soccer competition in one season, a club had scored the following goals: $2,0,3,3,2,1,4,0,0$. $5,1,0,2,2,1,3,1,4,1$ and 1 . The mean, median and mode are respectively

A. $1,1.8$ and $1.5$
B. $1.8,1.5$ and 1
C. $1.8,1$ and $1.5$
D. $1.5,1$ and $1.8$

Question 5:

Add the same number to the numerator and denominator of $3/18$. If the resulting fraction is $1/2$ then the number added is

A. 13
B. 14
C. 15
D. 12