UNN Mathematics 2009/2010 Past Questions

In a school, 180 students offer Mathematics or Physcis or both. If 125 offer Mathematics and 105 offer Physics. How many studetns offer Mathematics only

Find the value of x for which 3(2^4x-1) = 96

The cost of renovating a 5m square room is N500. What is the cost of renovating a 10m square room?

Find the rate of change of the total surface area S, of a sphere with respect to its radius r when r - 2.

Evaluate $∫^π_0{sin^2θ-1}/{cos^2θ}dθ$

Differentiate (cosθ + sinθ)² with respect to θ.

A binary operation * on the set of rational numbers is defined as
x*y = 2x + ${x^2-y^3}/{x+y}$, find -1*2

A polynomial in x whose zeroes are 2, 1 and -3 is

Find the range of values of x for which 7x - 3 > 3x + 4

Let P be a probability function on set S, where S = {C₁, C₂, C₃, C₄}. Find P(C₁), if P(C₁) = 3/10 and P(C₄) = 1/4

Calculate the standard deviation of the following data 7, 8, 9, 10, 11, 12, 13.

If w is the mode and z is the median of the following set of numbers: 2.4, 2.1, 1.6, 2.6, 2.6, 3.7, 2.1 and 2.6, then (3w, 2z) is

An arc of a circle of length 22cm subtends an angle of 3y° at the centre of the circle. Find the value of y, if the radius of the circle is 7cm.

Find the locus of a point which moves such that its distance from the line y = 3 is a constant k