UNILAG Mathematics 2009/2010 Past Questions

Find the reciprocal of $$\frac{\frac23}{\frac12+\frac13}$$

Find the difference in cost per week between employing 20 women at a weekly wage of N230.00 and 18 boys at a weekly wage of N198.00 each.

Evaluate $$\sqrt{20}\times(\sqrt{5})^3$$

If cos y=½, the value of y between 0° and 360° are?

A pillar Y is 4km east of a pillar X while another pillar Z is 4km south of Y on the same level ground. Find the bearing of Z from X.

What is the circumference of latitude θ'S if R is the radius of the earth?

The population of a village is 5846. Express this number to three significant figures.

Solve for x if log₅(x + 2) + 3log₅2 = 2

If cos²x + $$\frac15$$ = sin2²x find secx

The shares by Sola and Audu in a joint business are in ratio 5: 8 respectively. Later Audu sold $$\frac14$$ of his shares to Sola which amounted to N3, 000. What is the worth of business?

In an examination taken by 40 students, 27passed mathematics, 18passed Physics while 2 failed both Mathematics and Physics. How many students passed both subjects?

What is the equation of the line which passes through the points (2,5) and (5,1)?

Evaluate 2^2x + 4(2^x) - 32 = 0

A 5m ladder placed on the wall of a building makes an angle of 60° with the horizontal ground. How far is the ladder from the base of the wall of the building?