OAU Mathematics 2015/2016 Past Questions

Find the angle in degree which the line$ x - √3y= 0$ makes with the positive y - axis

If equation $6 - kx + 2x^2 = 0$ has equal roots, find $k^2 + 4$

Simplify $log_{100}√{10^{-1}}$

Evaluate $(1/25)^{1/2} + (1/8)^{2/3}$

Find the remainder when $x^4- 11x + 2$ is divided by x

if α and β are the roots of equation$ cx^2 + ax + b = 0,$ find αβ

The binary operation ⊗ is defined by a ⊗ b = 2a - 1.
Find 3 ⊗ (2 ⊗ 1)

Two coins tossed; find the probability of having at least two heads

Solve the equation ${1}/{1 + {1/x^3}}$

If x is a real number and x + 11 < 0, evaluate ${|x|}/{x}$

Simplify: ${30}/{√{2} + √{50}}$

If m is the gradient of the line pq - px - qy = 0 and q ≠ 0, find 1/m

If P is directly proportional to √Q; P = 20 when Q = 4. Find Q when P = 100

Obtain the centre of the circle $7(y^2 + 10y) + 7x^2 = 1$

Given $∫^a _a (15x^2 dx)$ find the value of the constant a

Evaluate ${d}/{dx} (lnsin 3x)$

Find the equation of a line which passes through a point (-2, 3) and makes an angle of 45° with positive x - axis

If cos A = 12/13 and A is an acute angle, find (1 + tan²A)

Integrate the function 1 - 2x

Find the sum to infinity of the sequence 1, -1, 1, -1, 1, -1...

Differentiate 2 - sin(2 - ax) with respect to x

Simplify $({8√{n}}/{m^{3/2}})^2 ({4^{-1} m^2}/{2n^{-2}})$