Post Utme Mathematics Past Questions and Answers

Question 441:

A rectangular hexagon is constructed inside a circle of diameter \(12 cm\). calculate the area of the hexagon.

A. \(36 \pi cm ^{2}\)
B. \(36 \sqrt{3} cm ^{2}\)
C. \(54 \sqrt{3} cm ^{2}\)
D. \(54 \pi cm ^{2}\)

Question 442:

If the three consecutive terms of a GP are \(n-2, n\) and \(n+3\), find the common ratio.

A. \(1 / 4\)
B. \(1 / 2\)
C. \(3 / 4\)
D. \(1 / 2\)

Question 443:

In a triangle \(ABC\), if the \(AB =15 cm\) and angle \(ABC =45^{\circ}\) while angle \(ACB =60^{\circ}\), find the length of line \(AC\)

A. \(15 \sqrt{6} 6 cm\)
B. \(10 \sqrt{6} cm\)
C. \(20 \sqrt{6} cm\)
D. \(5 \sqrt{6} 6 cm\)

Question 444:

Find the derivative of the function \(y=x^{2}(4 x+3)\) at the point \(x=2\)

A. 60
B. 50
C. 40
D. 30

Question 445:

A regular polygon has each of it angles as \(160^{\circ}\). What is the number of sides of the polygon?

A. 36
B. 9
C. 18
D. 20