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

Question 1:

Five years ago, a father was 3 times as old as his son. Now, their combined ages a mount to 110 years. Thus, the present age of the father is

A. 75 years
B. 60 years
C. 98 years
D. 81 years

Question 2:

If $y=2x^2+9x-35$ find the range of values for which $y<0$.

A. $-7\le x<5$
B. $-5\le x<7$
C. $-\left(\frac{7}{2}\right)<x\le 5$
D. $-7<x<(5/2)$

Question 3:

Mother reduced the quantity of food bought for the family by $10\mathrm{\%}$ when she found that the cost of living had increased by $15\mathrm{\%}$ Thus the fracrional increase in the family food bill is now

A. $1/12$
B. $6/35$
C. $19/300$
D. $7/200$

Question 4:

Given that $a\ast b=ab+b+a$ and $a^{0}b=1+b+a$. Find $(a\cdot b{)}^{\circ }(a+c)$. if $a,b,c$ are real numbers.

A. A c+a b+b c+b+c+1
B. A c+a b+a+c+2
C. A c+a b+2 a+b+c+1
D. A c+a b+b c+b+c+2

Question 5:

If the four interior angles of a quadrilateral are $(P+10{)}^{\circ }$ $(P-30{)}^{\circ }$ $(2P-45{)}^{\mathrm{c}}$, a nd $(P+35{)}^{\circ }$, then $P$ is

A. ${78}^{\circ }$
B. ${125}^{\circ }$
C. ${135}^{\circ }$
D. 60°