OAU Mathematics 2017/2018 Past Questions

The probability of an event A given by P(A) is a number between

Noting that $sin^2θ + cos^2θ = 1$, simplify ${1 - cosθ}/{sin^2 θ}$

A circle has eccentricity

If two elements A and B are independent, then P(A and B) is

Simplify ${3^{n+3} - 3^{n+2}}/{3{n+1} - 3^n}$

Noting that cosα = sin(90 - α), find y in term of x in the equation $c0s(1 + {1}/{2} = sin({3}/{2}y))$

For what values of x is$ x^-1 < -1?$

In how many ways can the letters of the word NWAFOR be permuted?

If α and β are the roots of equation 18+ 15x - 3x^2 = 0, find αβ - α - β.

Resolve ${1}/{1 - x^2}$ into partial fractions.

Given that the sum to infinity $S_∞ = a + ar + ar^2....= {a}/{1 - r}$, to what sum does the infinite series $1 - 2/3 + 4/9 - 8/{27}$ converge?

What is the value of x for which$ x^2 - 5x + 6$ is minimum?

Integrate $5x^4 + e^{-x}$ with respect to x.

If X = {2,3,6,7,8} and Y = {6,7,10,3,17), find Y - (XnY).

Find the angle the line ${1}/{√{3}}y - x$ makes with positive y - axis.

Find the value of P which satisfies the equation $√{P} - {6}/{√{P}}$

Find the area of the circle $4x^2 + 4y^2 - 400 = 0$

Let the mean of x, y^-1, z⁵ be 6. Find the mean 10, y^-1, 12, x, z⁵

What is the addition of y and x - intercepts of the line $2/3x + 3/2y + 9 = 0$?

Given that h(x) = 3 + 2x and f(x) = 1 - x, find h[-f(x)].

Find the value of k in the equation ${5}/{2√{2}} - √{8} = k√{2}$

Evaluate $∫^1 _0 3^x log 3 dx$