UNIPORT Mathematics 2016/2017 Model 2 Past Questions

Evaluate ${∫^{x/2}_0}$sin 2xdx.

How many possible ways are there of seating seven people P, Q, R, S, T, U and V at a circular table?

In triangle XYZ, ∠XYZ = 15°, ∠XZY = 45° and |XY| = 7cm. Find |YZ|.

Find p, q for which ${(\table 2p,8;3,-5q)(\table 1;2) = (\table 24;-17)}$

If p varies inversely as the cube of q and q varies directly as the square of r, what is the relationship between p and r?

The cost of renovating a 6m square room is N540. What is the cost of renovating a 9m square room?

If 5, 8, 6 and 2 occur with frequencies 3, 2, 4 and 1 respectively. Find the product of the modal and the median number.

The solution of the quadratic inequality (x² + x - 12) ≥ 0 is

A man made a profit of 5% when he sold an article for N60,000.00. How much would he have to sell the article to make a profit of 26%?

Find the sum of the first 18 terms of the series 3, 6, , ..., 36.