Given a table of data, calculate the mean, mode and median, and complete a frequency table.

Three graphs are given with areas underneath them shaded. The student is asked to calculate their areas, using integration.  Q1 has a polynomial. Q2 has exponentials and fractional functions. Q3 requires solving a trig equation and integration by parts.

Just showing how to use the stdev function from the stats extension to calculate the standard deviation of a list of numbers.

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Given a table of the number of days in which sales were between £x1000 and £(x+1)1000 find the relative percentage frequencies of these volume of sales.

Simple probability question. Counting number of occurences of an event in a sample space with given size and finding the probability of the event.

Example showing how to calculate the probability of A or B using the law $p(A \;\textrm{or}\; B)=p(A)+p(B)-p(A\;\textrm{and}\;B)$. 

Also converting percentages to probabilities.

Easily adapted to other applications.

Given mean and sd of 1000 sample returns on a scale of 1 to 7 together with a given score, find the z-score.

Also find the 95% confidence interval for the population mean.

Find the common ratio of a given geometric sequence, write down the formula for the nth term and use it to calculate a given term in the sequence.

This question provides a list of data to the student. They are asked to find the mean, median, mode and range.

This question provides a list of data to the student. They are asked to find the mean, median, mode and range.

Calculate the efficiency and heat from the hot reservoir in a Carnot Cycle (with carnot diagram)

This question provides a list of data to the student. They are asked to find the mean, median, mode and range.

Calculate the volume of different 3D shapes, given the units and measurements required. The formulae for the volume of each shape are available as steps if required.

Given mean and sd of 1000 sample returns on a scale of 1 to 7 together with a given score, find the z-score.

Also find the 95% confidence interval for the population mean.

A graph shows both the speed and acceleration of a car. Identify which line corresponds to which measurement, and calculate the acceleration during a portion of time.

An investment of x invested today will give a return of €y in n1 years time and a further €z n2 years from today. Calculate the net present value (NPV) of the investment given that the discount rate is perc% per annum.

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An investment of €x invested today will give a return of €y in n years time Calculate the net present value (NPV) of the investment given that the discount rate is 3.5% per annum.

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A savings account earns compound interest at 1.5% per month.
Calculate the equivalent annual rate of interest

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Calculate the final amount in a savings account where compound interest is earned annually 

Calculate the annual interest rate for a savings account where A, P and n are given.

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A savings account earns compound interest at 1.5% per month.
Calculate the equivalent annual rate of interest

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Calculate the time taken for a certain distance to be travelled given the average speed and the distance travelled.

Small, simple question.

Question is to calculate the area bounded by a cubic and the $x$-axis. Requires finding the roots by solving a cubic equation. Calculator question

Graphs are given with areas underneath them shaded. The student is asked to select the correct integral which calculates its area.

It is estimated that 30% of all CIT students cycle to college. If a random sample of eight CIT students is chosen, calculate the probability that...

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Using the unit circle definition of sin, cos and tan, to calculate the exact value of trig functions evaluated at angles that depend on 0, 30, 45, 60 or 90 degrees.

Find the common ratio of a given geometric sequence, write down the formula for the nth term and use it to calculate a given term in the sequence.

Just showing how to use the stdev function from the stats extension to calculate the standard deviation of a list of numbers.

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