A man stands on a tree 150cm high and sees a boat at an angle of depression of 74°. Find the distance of the boat from the base of the tree.

Evaluate 5−3 − 3 log2 2 × × 2 2log3

Find the values of x for which x+24−2x−33<4

A trader realises 10x - x2 2 Naira profit from the sale of x bags of corn. How many bags will give him the maximum profit?

If y = 23five five + 101three three , find y, leaving your answer in base two

If N=⎛⎜⎝35−46−3−5−221⎞⎟⎠ N = ( 3 5 − 4 6 − 3 − 5 − 2 2 1 ) , find |N|.

In a class of 40 students, 32 offer Mathematics, 24 offer Physics and 4 offer neither Mathematics nor Physics. How many offer both Mathematics and Physics?

The pie chart shows the monthly expenditure of a public servant. The monthly expenditure on housing is twice that of school fees. How much does the worker sp...

If X, Y can take values from the set (1, 2, 3 ,4), find the probability that the product of X and Y is not greater than 6.