FUTO Mathematics 2017/2018 - Model 2 Past Questions

The perimeter of a sector of a circle of radius 21cm is 64cm. Find the angle of the sector.[Take π = 22/7]

If the sum of the roots of the equation(x - p)(2x + 1) = 0 is 1, find the value of p.

If x = $${\frac23}$$ and y = -6, evaluate xy - $${\frac yx}$$.

Factorise: x + y - ax - ay.

Given that $${\frac{5^{n + 3}}{25^{2n - 3}} = 5^0}$$, find n.

Find the equation of a line perpendicular to line 2y = 5x + 4 which passes through (4, 2).

In a class of 46 students, 22 play football and 26 play volleyball. If 3 students play both games, how many play neither?

Find the remainder when 2x³ - 11x² + 8x - 1 is divided by x + 3.

Convert 27₁₀ to another numbe in base three.

If the interest on N150.00 for $${2\frac{1}2}$$ years is N4.50, find the interest on N250.00 for 6 months at the same rate.