University of Nigeria Mathematics Post Utme 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