Post Utme University of Nigeria Mathematics Past Questions and Answers

Question 1:

Calculate the perimeter of the segment of a circle of radius $7\mathrm{cm}$ if the chord subtends angle ${90}^{\circ }$ at the centre.

A. $7\sqrt{2}\mathrm{cm}$
B. $1\mathrm{lcm}$
C. $(11+7\sqrt{2})\mathrm{cm}$
D. $(11-7\sqrt{2}\mathrm{cm}$

Question 2:

The ratio of the sides of two similar rectangular blocks is 5:3. If the volume of smaller block is $324{\mathrm{cm}}^3$, that of the other block is ____________

A. $1500{\mathrm{cm}}^3$
B. $900{\mathrm{cm}}^3$
C. $864{\mathrm{cm}}^3$
D. $540{\mathrm{cm}}^3$

Question 3:

From an observation point close the edge the sea, a ship is $14\mathrm{km}$ away on a bearing of ${130}^{\circ }$. A second ship is $48\mathrm{km}$ away on a bearing of ${220}^{\circ }$. This distance separating the ships is ____________

A. $32\mathrm{km}$
B. $50\mathrm{km}$
C. $55\mathrm{km}$
D. $62\mathrm{km}$

Question 4:

The average age of the three children, in a family is 9 years. If the average age of their parents is 39 years, the average age of the whole family is ____________

A. 20 years
B. 21 years
C. 24 years
D. 27 years

Question 5:

How many different three-digit number can be formed using the integers 1 to 6 if no integer occurs twice in a number?

A. 20
B. 60
C. 120
D. 240