OAU Mathematics 2010/2011 Past Questions

A sector circle of radius 7.2cm which subtends an angle of 300° at the centre is used to form a cone. What is the radius of the base of the cone?

If pq + 1 = q² and t = 1/p - 1/pq, express t in terms of q

If 3^2y - 6(3^y), find y

An (n-2)² sided figure has n diagonals, find the number n of diagonals for a 25 sided figure

A sum of money was invested at 8% per annum simple interest. If after 4 years, the money became N330.0, what is the amount originally invested?

Evaluate ${(xy^2-x^2y)}/{x^2-xy}$

List all integers satisfying the inequality 2< 2x - 6 < 4

Two fair dice are rolled. What is the probability that both show up the same number of point?

Find the probability of selecting a figure which is parallelogram from a square, a rectangle, a rhombus, a kite and a trapezium

A man kept 6 black, 5 brown and 7 purple shirts in a drawer. What is the probability of his picking a purple shirt with his eyes closed

If P varies inversely as V and V varies directly as R², find the relationship between P and R given that R = 7 when P = 2

If 7 and 189 are the first and fourth terms of a geometric progression respectively find the sum of the first three terms of the progression

Find the positive number n such that thrice its square is equal to twelve times the number

Given a regular hexagon, calculate each interior angle of the hexagon

Factorize 6x² - 14x - 12

The value of (0.303)³ - (0.02)³ is

What is the product of 27/5 - (3)^-3 and (1/5)

Find n if log₂4 + log₂7 - log₂ n = 1

In 1984, Tolu was 24 years old and his father 45 years. In what year was Tolu exactly half his father's age?

If x = 1 is root of the equation x³ - 2x² - 5x + 6, find the other roots

Find the probability that a number selected at random from 40 to 50 is a prime number

If the lengths of the sides of a right angled triangle are (3x + 1)cm, (3x - 1)cm and x cm, what is x?

A number of pencils were shared out among Peter, Paul and Audu in the ratio 2:3:5 respectively . If Peter got 5, how many were shared?