A collection of information and activities to introduce students to Numbas. There is some information on how Numbas works, information on how to write answers to mathematical expression and number entry parts, and a "test yourself" explore mode activity.

Note: This exam was written for students accessing Numbas exams through the Numbas LTI tool. Some of the information does not apply to exams accessed standalone or through a generic SCORM player.

The student is presented with a scenario then asked to select a sample size to investigate and the number of bins for a histogram of the data. Theoretical distributions of normal, uniform and lognormal distributions can be overlayed on the histogram. Student is asked to identify the most likely distribution and the mean of this distribution (within a +/-10% margin of error).

Students are given a number with two decimal places and are asked to divide it by either 10, 100 or 1000.

Inverse and division of complex numbers.  Four parts.

Used for LANTITE preparation (Australia). NA = Number & Algebra strand. SP = Statistics & Probability strand. Students read a percentage from the chart, and calculate that percentage of the number of children (randomly generated).

Used for LANTITE preparation (Australia). NC = Non Calculator strand. NA = Number & Algebra strand. Students are given the number of people that are fed with 200g of rice (randomised), and the total number of people to be fed (randomised). They need to calculate the weight of rice using proportional reasoning.

Used for LANTITE preparation (Australia). NC = Non Calculator strand. NA = Number & Algebra strand. Students are given the number of pages read (randomised) and number of pages remaining (randomised), and asked to write the proportion read as a simple fraction.

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

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

The student is presented with a scenario then asked to select a sample size to investigate and the number of bins for a histogram of the data. Theoretical distributions of normal, uniform and lognormal distributions can be overlayed on the histogram. Student is asked to identify the most likely distribution and the mean of this distribution (within a +/-10% margin of error).

Finding the modulus and argument (in radians) of four complex numbers; the arguments between $-\pi$ and $\pi$ and careful with quadrants!

Find modulus and argument of two complex numbers. Then use De Moivre's Theorem to find positive powers of the complex numbers.

Find modulus and argument of the complex number $z_1$ and find the $n$th roots of $z_1$ where $n=5,\;6$ or $7$.

Rolling a pair of dice. Find probability that at least one die shows a given number.

Two ordered data sets, each with 10 numbers. Find the sample standard deviation for each and for their sum.

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Given the number of international students enrolled on a course of $n$ students, calculate the percentage of 'home' students.

Calculate one number as percentage of another.

Writing one number as a percentage of another.

Using a given list of four complex numbers, find by inspection the one that is a root of a given cubic real polynomial and hence find the other roots.

Students are shown an unsorted list of 6 or 7 numbers and asked to calculate the median.

One number as a percentage of another.  Biology context. Includes standard form.
Realistic values.

Convert numbers between 0 and 1 from standard form/scientific notation.

Convert numbers greater than 1 from standard form/scientific notation.

Convert numbers greater than 1 into standard form/scientific notation.

Convert numbers between 0 and 1 intro standard form/scientific notation.

Finding element of a set, requires knowledge of inequality and notation for integer and real number.

Given the total cost, insurance cost, and daily cost of hiring a bicycle, calculate the number of days the bicycle was hired for.