The number of patients arriving at a dentist’s surgery each afternoon follows
a Poisson distribution, with a mean of four patients per hour.
Calculate the probability that in a particular one-hour period

The student is shown a table with rows for each class in a school, and two columns of numbers: books, and children. They have to work out the column totals, and the number of books per child, and enter them in the table.

Natural numbers addition algorithm. 2 and 3 digit numbers. Carrying.

Decimals addition algorithm. 2 and 3 digit numbers. Carrying.

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A quick practice set of problems for education students to take in preparation for their numeracy test.

Students are given a positive whole number less than one hundred and are asked to find either 1/10, 1/100 or 1/1000 of it.

Students are given a positive whole number less than one thousand and are asked to divide it by either 10, 100, 1000 or 1,000,000.

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

Students select the option which lists the four decimal weights of premature infants in order from smallest to highest.

This question was written by MESH (the Mathematics Education Support Hub) at Western Sydney University.

This question shows how to use the programming extension's run_code function to run some Python code and use its result in the marking of a non-code part type.

Python is used to calculate the correct answer for a number entry part type. This could be done

Use the product rule (number of ways of doing A and B = (no. for A)*(no. for B)) to count the number of ways of doing two independent tasks.

In the first part, the student must write an R function to compute the first $n$ terms of the series $\frac{1}{k!}$.

In the second part, they must use that function to calculate an approximation to $e$ using a given number of terms of the series.

Asks the student to calculate the sum of the triangular numbers (up to some randomised number). 

Steps guide the student through each step in the calculation.

The student must write code to filter a given list of numbers, returning only the positive elements.

A Eukleides diagram showing a list of numbers, each in their own box, with the sum drawn above.

A Eukleides diagram showing a list of numbers, each in their own box, with the sum drawn above.

Draws a diagram showing a randomly-chosen number of circles, packed in a box.

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.

Counting the number of significant figures and rounding integers and decimals.

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!