UNILAG Mathematics 2010/2011 Past Questions

A father is now three times as old as his son, twelve years ago, he was six times as old as his son. How old are the son and the father now?

A teacher went to Kano for y days with Y naira. For the first x days he spent X naira per day, the amount he has to spent per day for the rest his stay is?

Find the angle between slope and the straight line joining the points P (-3, 2) and Q (5, 5).

Find the 4th term in the binomial expansion of (a + 2b)⁸

A pyramid is constructed on a cuboid. The figure has

Find the exact value of tan 345°

Evaluate $$\int(x^3+1)^{4}3x^2dx$$

In the diagram, PQRTU is a circle, /ST/=/RS/ and angle TSR= 52°. Find the angle marked m.

The quadratic equation whose roots are $$1-\sqrt{13}$$ and $$1+\sqrt{13}$$ is

Find the value of x for which holds 2≤$$\frac{2x+3}5$$<3

In the figure above, O is the centre of QRS and PS //RT, if∠PRT=135°, then ∠PSO is

If g(x) = 2x+3 and f(x) = sin²x, find g[f(x)]

Simplify $$\frac{x^2-y^2}{x^2+xy}$$

Find the non-zero positive value of x which satisfies the equation $$\begin{vmatrix}x & 1&0 \\ 1 & x&1\\0&1&x \end{vmatrix}=0$$