UNN Mathematics 2011/2012 Past Questions

A bag contains x Nokia phones, (2x-3) LG phones and 3x Samsung phones. If the probability of picking an LG phone at random from the bag is 1/5, how many Samsung phones are in the bag?

The mean of the ages of fifteen doctors in a certain hospital is 48 years. When five nurses joined them, the mean of the ages of the doctors and the nurses becomes 42 years. Find the mean of the ages of the five nurses.

If the probability of an event A is 3/5 and the probability of both the event A and another event B is 3/25, find the probability of B only.

The identity element with respect to the multiplication shown in the table below is:

	X	Y	Z	W
X	W	Z	X	W
Y	Z	W	Y	X
Z	X	Y	Z	W
W	X	Y	W	Z

Find the value of x such that 2^x x 2^x+1 = √32

If the sum of the first n terms of a sequence is 2n² + 1, find the nth term of the sequence.

Express 312₈/14₇ as a number in base 3.

Simplify 10^x/2 x 20^x+1 x 125^x/2 ÷ 32^x/2

In a class of 54 students, each student offers at least one of English and French. If the sum of those that offer both subjects is half the number that offer English only and the number that offer French only is twice the number that offer both subjects, find the number of students that offer English only.

Evaluate $∫^0_{-4}√{1-2x}dx$

The first derivative of y = 3cos²4x is

The integral of 3x - 2 which passes the point (1, -5/6) is

A pyramid 12cm high stands on a rectangular base of length 7cm and width 5cm. Calculate the volume of the pyramid.

Find the number of sides of a regular polygon if each of the interior angle of the polygon is 150°.

A fly at a point P moves such that its distance from a point O is 21cm. If the fly covers a distance of 22cm before reaching a pointQ, calculate angle POQ.