FUTA Mathematics 2015/2016 Past Questions

If 125_x = 20₁₀ find x

A man 40m from the foot of a tower observes the angle of elevation of the tower to be 30°. Determine the height of the tower.

A cliff on the bank of a river is 300m high. If the angle of depression of a point on the opposite side of the river is 60°, find the width of the river

The mean of a set of six numbers is 60. If the mean of the first five is 50, find the sixth number in the set.

Make r the subject of the formula x/a+r = a/r

The inverse of the function f(x) = 3x + 4 is

If dy/dx = 2x - 3 and y = 3 when x = 0, find v in terms of x.

A circle with a radius 5cm has its radius increasinc at the rate of 0.2cm/s. What will he the corresponding increase in the area?

Find the range of values of x for which (x+2/4) - (2x-3/3) < 4

If -2 is the solution of the equation 2x + 1 - 3c = 7c + 3x -7, find the value of c

The sum of the interior angles of a regular Polygon is 180 Calculate the size of one exterior angle of the polygon.

Find the simple interest rate percent per annum at which N1,000 accumulates to N1,240 in 3 years,

Three consecutive positive integers k, l and m are such that l² = 3(k + m). Find the value of m.

Find the value of x if √2/x + √2 = 1/x - √2

The expression ax² + bx + c equals 5 at x - 1. If its derivative is 2x + 1, what are the values of a, b , c respectively.

if tanq = 3/4. find sin q,—cos-q

If 2q3₅ = 77, find q.

A man invested N5000 for 9 months at 4%. What is the simple interest?

If the numbers M, N. Q are in the ratio 5:4:3, find the value of 2N-Q/M

Simplify (16/81)^1/4, (9/16)^-1/2