Post Utme Federal University of Technology, Akure Mathematics Past Questions and Answers

Question 6:

Simplify \((a-b) /(a+b)-(a+b) /(a-b)\)

A. \(4 a b /\left(a^{2}-b^{2}\right) \quad\)
B. \(=4 a b /\left(a^{2}-b^{2}\right)\)
C. \(2 a b /\left(a^{2}-b^{2}\right) \quad\)
D. \(\quad-2 a b /\left(a^{2}-b^{2}\right)\)

Question 7:

The minimum point on the curke \(y=x^{2}-6 x+5\) is at

A. \((1,5)\)
B. \((3,-4)\)
C. \((2,3)\)
D. \((3,4)\)

Question 8:

If \(3 x-\left(\frac{1}{4}\right)>\left(\frac{1}{4}\right)-x\), then the interval of values of \(x\) is

A. X > (1 / 3)
B. X < (1 / 3)
C. X < (9 / 16)
D. X > (9 / 16)

Question 9:

A man runsa distance of \(9 \mathrm{~km} / \mathrm{h}\) for the first \(4 \mathrm{~km}\) and then \(2 \mathrm{~km} / \mathrm{h}\) for the rest of the distance. The whole fun takes him one hour. His average speed for the first \(4 \mathrm{~km}\) is

A. \(6 \mathrm{~km} / \mathrm{h}\)
B. \(8 \mathrm{~km} / \mathrm{h}\)
C. \(\quad 9 \mathrm{~km} / \mathrm{h}\)
D. \(11 \mathrm{~km} / \mathrm{h}\)

Question 10:

In a soccer competition in one scason, a club bad scored the follow ing goals: 2 . \(0,3,3,2,1,4,0,0,5,1,0,2,2,1,3,1,4,1\), and 1 . The mean, mediun and mode are respectively.

A. \(1.1 .8\) and \(1.5\)
B. 1.8.1.5 and \(1 \quad\)
C. 1.8.1 and \(1.5\)
D. \(1,5,1\) and 1,8