UNIPORT Mathematics 2010/2011 Model 1 Past Questions

Find the slope of the curve y = 2x² + 5x - 3 at (1, 4)

Determine the maximum value of y = 3x² - x³

By how much will the mean of 30, 5, 31, 55, 43 and 44 less than the median

The range of 4, 3, 11, 9, 6, 15, 19, 23, 27, 24, 21 and 16 is

The mean of the numbers 2, 6, 4, x and 7 is 5, find the standard deviation

Find the remainder when 3x³ + 5x² - 11x + 4 is divided by x + 3

What are the integral values of x which satisfy the inequality 3 - 2x ≤ 5?

Find the derivative of (2x + 3x)(1 - X) with respect to x

Find the derivative of the function y = 2x²(2x - 1) at the point x = -1

Find the mean deviation of 1, 2, 3 and 4

Find the value of t if the standard deviation of 2t, 3t, 5t and 6t is √{2}

In how many ways can 6 coloured chalks be arranged if 2 are of the same colour?

A final examination requires that a student answer any 4 out of 6 questions. In how many ways can this be done?

if the mean of five consecutive integers is 30, find the largest of the numbbers

A bag contains 5 black, 4 white and x red marbles. If the probability of picking a red marble is 2/5 Find the value of x

For what value of s of n is ^n-1C₃ = 4(ⁿC₃)?

Find the roots of x³ - 2x² - 5x - 2 leave a remainder 2 when it is divided by 2x + 11

find the value of k if the expression kx³ + x² -5x - 2 leaves a remainder 2 when it is divided by 2x + 1

If y = x² - x -12. Find the range of values of x for whih x ≥ 0

How many terms of the series 3, -6, +12, -24, ..... are needed to make a total of 1-2⁸