UNN Mathematics 2010/2011 Past Questions

Simplify √(243)^-1x⁵

Without using tables, evaluate (125)^-1/3 x (0.49)^-1/2 x (0.01)^1/3.

Convert 1231₄ to a number in base 6.

Find the slope of the curve y = 3x³ + 5x² - 3 at (-1, 5).

Find the area of the region bounded by y = x² - x - 2 and x-axis

The minimum value of y = x² - 4x - 5 is

Make x the subject of the relation y = 3 - lnx.

Find x, y for which $(\table;2x,4;3,y;)(\table;1;2) = (\table;10;-1)$

Simplify ${1 1/2}/{2 ÷ {1/4} of 32}$

The probability of either event A or B is 5/6, while that of event B is 1/6. If the probability of both A and B is 1/2, what is the probability of event A.

The chances of three independent events X, Y, Z occuring are 1/2, 2/3, 1/4 respectively. What are the chances of Y and Z only occuring?

Some red balls were put in a basket containing 12 white balls and 16 blue balls. If the probability of picking a red ball from the basekt is 3/7, how many red balls were introduced?

Find the coordinates of the mid-point of the line joining (2, 7) and (1, -6).

An equilateral triangle of sides 2cm is inscribed in a circle. Find the area of the circle.

The chord PQ of a circle is equal to the radius, r, of the circle. Find the length of the arc PQ>