OAU Mathematics 2011/2012 Past Questions

If $(3/4)^x (2/3)^y = {32}/{27}$, find the value of 3y - 2x

The integral values of y which satisfy the inequality 1 < 5 - 2y ≤ 7 are

If x² - 5x + 6 = (x - a)² + b, the value of b is

The scores of 16 students in a mathematics test are 65, 65, 55, 60, 60, 65, 60, 70, 75, 70, 65, 70, 60, 65, 65, 70. What is the sum of the median and modal scores?

Find x if x² - 2x - 15 = 0

A father leaves a legacy of N45 million for his children - Peter, David, and Paul to be shared in the ratio 7:5:3. What amount in million Naira would each receive respectively?

As θ tends to zero, what does cosθ tend to?

The expression 2cosθ + sin²θ has the numerical value

If tanx = ${sinx}/{cosx}$, find tan(90° + x), for acute value of x.

The indefinite integral of xe^x for any real constant c is

Find the area under the curve y(x) = sinx between x = 0 and x = π

Let the letter P, Q, R and S denote parallelogram, quadrilateral, rectangle and square respectively. Using subset notation, which of these inclusions is correct?

In a convex polygon with n sides, the sum of interior angles is

Find the equation of the line perpendicular to the line y = 2x + 1 and passing through a point (3, 1).

What is the distance between points (1,2) and (4,5) on a plane?

Integrate ∫2tan(2x + π)dx

Find the values of x for which 5 + 2x - 3x² = 0

A businessman invested a total of N200,000 in two companies which paid dividends of 5% and 7% respectively. If he received a total of N11, 600, how much did he invest at 7%

If a√5 + b√2 is the square root of 95 - 30√10, the values of a and b are respectively.

If $x/y = z/w$, find the value of ${3x^2-xz+z^2}/{3y^2-yw+w^2}$ in terms of c

Express ${5y-12}/{(y-2)(y-3)}$ in partial fractions

The second term of an infinite geometric series is -1/2 and the third term is 1/4. Find the sum of the series

In the figure AB and AD are tangents to the circle. If BCS = 55° and BDC = 48°, find BAD.