UNILAG Mathematics 2008/2009 Past Questions

If $$\sqrt{3^x}$$ = ³$√{9}$ then the value of x is

In LVXYZ, XV = 10cm, VZ = 8cm and ZX=6cm. The perpendicular ZS is drawn from Z to XV. Find length of ZS.

In the figure below, PQ is parallel to SR and QS is the bisector of ∠PSR, ∠PQS is 65° and RPS is 20°, what is the size of ∠PRS ?

Find the number of terms in arithmetic progression given that the first and last terms are a and 37a respectively and that its common difference is 4a.

Assuming that log_e4.4 = 1.4816 and log_e7.7 = 2.0142, then the value of log_e 7/4 is.

A regular hexagon are constructed inside diameter 12cm. the area of the hexagon is

The operation Δ on the set Q of rational numbers is defined by xΔy = 9xy for xy = Q. Find under the operation A, the identity

Simplify $$\frac{x^2-25}{x^2+10x+25}$$

Find the derivative of y = log_e(3x + 2)

Find K such that (K + $$\sqrt{3}$$)(1 - $$\sqrt{3}$$)² = 6 - 2$$\sqrt{3}$$

Find the remainder when 4x³ + 6x² + 3x + 2 is divided by 2x + 3

In an examination 18 candidates passed Mathematics, 17 candidates passed Physics, 11 candidates passed both subjects and one candidate failed both subjects. Find the number of candidates that passed Mathematics only.

In how many ways can a committee of two boys and one girl be selected from a group of five boys and three girls?

If $$\frac Q{x^2+2x} = \frac12[\frac1x+\frac9{(x+2)}]$$ What is Q?