UNN Mathematics 2018/2019 - Model 1 Past Questions

Find the value of m if 3_m + 24_m = 41_m

A father decided to give 20% of his monthly income to his three children as their monthly allowance. The eldest child got 45% of the allowance and the youngest child got 25%. How much was the father's monthly income if the second child got N3000?

Divide 6x² - 13x + 5 by 2x - 1

A polynomial in x whose zeros are 2, -1 and 3 is

If x varies inversely as y and y varies directly as z, what is the relationship between x and z?

Water flows out of a pipe at a rate of 40πcm³ per second into an empty cylindrical container of base radius 4cm. Find the height of water in the container after 4 seconds.

The time taken to do a piece of work is inversely proportional to the number of men employed. If it takes 30 men to do a piece of work in 6 days, how many men are required to do the work in 4 days?

If sin θ = ${-1/2}$ for 0 < θ θ 360°, the value of θ is

If y = (1 - 2x)³, find the value of ${{dy}/{dx}}$ at x = -1

Find the derivate of y = sin (2x³ + 3x - 4 )

Evaluate ${∫^{π/2}_0}$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?