Arrange the following numbers in ascending order of magnitude

5/6,  11/13,  0.837

Solve for x
(1 / 3) ^{x/2 - 2} = 9

A bag contains 6 red balls, 12 white balls and 9 green balls.
A ball is selected at random.
What is the probability that it is a red or green ball?

Two fair coins are tossed.
The probability of getting at least one tail is

An arithmetic sequence has five terms between 2 and 20.
Determine the fourth term of the sequence.

Simplify:

log₅25^x - log₅(0.04)

Differentiate sinx - xcosx

The distance s metres after time t second covered by a particle moving along a straight line is given by

s = t³ - t² - t - 2

Find the average acceleration between t = 2 and t = 4

Find the circumference of a circular disk whose area is 100 π square centimeters

Four books whose authors' surnames start with the letters A, J, P, and W are placed randomly on a shelf.

The probability that the books will be arranged in the alphabetical order of the authors' last names is

A regular polygon with (2m + 1) sides has each interior angle equal to 144°.
The value of m is

Solve for x:

log (3x - 4) - log 2 = 1

The weights to the nearest kg of a group of students are recorded in the following table

Calculate the mean weight

Find the derivative of 
<span class="mjx-chtml MathJax_CHTML" style="line-height: 0;text-indent: 0px;text-align: left;text-transform: none;font-style: normal;font-weight: 400;font-size: 18.72px;letter-spacing: normal;float: none;direction: ltr;max-width: none;max-height: none;min-width: 0px;min-height: 0px;border: 0px;margin: 0px;padding: 1px 0px;color: #000000;font-family: Helvetica, Arial, Verdana, sans-serif;background-color: #ffffff" role="presentation" data-mathml="y=2t4−10t2+13t"><span class="mjx-chtml MathJax_CHTML" style="line-height: 0;text-indent: 0px;text-align: left;text-transform: none;font-style: normal;font-weight: 400;font-size: 18.72px;letter-spacing: normal;float: none;direction: ltr;max-width: none;max-height: none;min-width: 0px;min-height: 0px;border: 0px;margin: 0px;padding: 1px 0px;color: #000000;font-family: Helvetica, Arial, Verdana, sans-serif;background-color: #ffffff" role="presentation" data-mathml="y=2t4−10t2+13t">y = 2t⁴- 10t² + 13t

Find the values of x at the turning points of the curve

y = 2x³ - 3x² - 12x + 8

A bag containing 5 red balls and 3 green balls.
Two balls are picked, one after the other, with replacement.
The probability that the two balls selected are of different colours is

Find 
∫sin2x sin3x  dx

Using the product rule differentiate wrt x
(3x + 4)(x - 3)

A university undergraduate has to take 5 courses from a pool of 4 Mathematics and 3 Physics courses.
In how many ways can she select her courses if she insists on taking all four Mathematics courses?

The ratio of the price of a tin of milk to that of a packet of sugar is m : p. If the price of milk now goes up by 25% while that of sugar now goes up by 15%.

What is the new ratio of the prices?