Post Utme University of Calabar Mathematics Past Questions and Answers

Question 1:

\begin{array}{|c|r|r|r|r|r|r|}
\hline Amount (in Naira) & 3 & 6 & 9 & 12 & 15 & 18 \\
\hline Number of Students & 3 & 9 & 6 & 15 & 3 & 12 \\
\hline
\end{array}

Find the median of the distribution

A. \(N 3.00\)
B. N9.00
C. \(N12.00\)
D. N15.00
E. N18.00

Question 2:

Factorize: \(3 a^{2}-11 a+6\)

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

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. \(N= kDP _{ A }+ CDPB _{ B }\)
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