UNILAG Mathematics 2007/2008 Past Questions

Express $$\frac{3x-1}{(x+1)(x-3)}$$ in partial fractions

If $$\frac{^nP_3}{^nC_2}$$ = 6 find the value of n

A steel ball of radius 1cm is dropped into a cylinder of radius 2cm and height 4cm. if the cylinder is now filled with water, what is the volume of the water in the cylinder?

If α and β are the roots of the equation x² + 5x - 2 = 0, find the value of: α² + &beta²

Divide x³ + 64 by x+ 4

Without using tables, simplify $$\frac{ln\sqrt{216}-ln\sqrt{125}-ln\sqrt8}{2(ln5-ln3)}$$

The sum of infinity of a Geometric progression is 100. Find its first term if the common ratio is $$\frac25$$.

Two distinct sectors in the same circle subtend 100° and 30° respectively at the centre of the circle. Their corresponding arcs are in the ratio.

The letters of the word "MATRICULATION" are cut and put into a box. One letter is drawn at random from the box. Find the probability if a vowel is drawn.

Find x if (X_base2)² = 100100_base2

Given the following set of marks: 30,34,43,47, 76, 58, 62, 59 and 68. Calculate the standard deviation.

A sum of money invested at 5% per annum simple interest amounts to N285.20 after 3yrs. How long will it take the sum to amount to N434.00 at 7 1/2% per annum simple interest?

Given that $$\frac{x+5}{(x-1)(x+2)} = \frac P{x-1}+\frac Q{x+2}$$ Where P and Q are constants, find the value of (P+Q).

If X = {1,2,3,4 } an V = {3,5,6} , the elements of (X∩V)∪X are s