Written for the Western Sydney University MESH numeracy preparation workshop for the LANTITE test (Australia). One of five charts is shown, and students are asked a question based on that chart. All questions test student's ability to read the chart carefully and not draw wrong conclusions.

Written for the Western Sydney University MESH numeracy preparation workshop for the LANTITE test (Australia). Students are given a proportion of staff who either have or haven't completed their reports. They are asked to find the complement, as a percentage. There are 6 different versions of this question. 

Written for the Western Sydney University MESH numeracy preparation workshop for the LANTITE test (Australia). Students must work backwards to work out what the original number was, or alternatively test out each supplied multiple choice option. There are 8 possible randomised numbers in this question.

Used for LANTITE preparation (Australia). SP = Statistics & Probability strand. Students are asked two true/false questions based on a chart. The pair of true/false questions are randomly selected from a pool of five pairs of questions.

Used for LANTITE preparation (Australia). SP = Statistics & Probability strand. Students are asked a multiple choice question based on a series of bar charts. The question is randomly selected from a pool of seven questions.

Used for LANTITE preparation (Australia). NA = Number & Algebra strand. Students are asked two true/false questions based on a table of data about the LANTITE test. The pair of true/false questions are randomly selected from a pool of five pairs of questions.

Used for LANTITE preparation (Australia). SP = Statistics & Probability strand. NC = Non-Calculator strand. Students are asked a multiple choice question based on a pie chart. The question is randomly selected from a pool of seven questions.

Used for LANTITE preparation (Australia). MG = Measurement & Geometry strand. Students are always given the same map of Western Australia and asked to select the one incorrect statement from four statements. The statements are randomly selected from four incorrect statements and twelve correct statements in total. 

Used for LANTITE preparation (Australia). MG = Measurement & Geometry strand. NC = Non-Calculator strand. Students are shown an image of a thermometer calibrated in degrees Celsius. Student must answer a question using the thermometer. The image is randomly selected from a pool of 4. There are two different potential questions for each thermometer. Hence 8 different questions in total.

Used for LANTITE preparation (Australia). MG = Measurement & Geometry strand. NC = Non-Calculator strand. Students are shown an image of a thermometer calibrated in both degrees Celsius and degrees Fahrenheit. Student must answer a question using the thermometer. The image is randomly selected from a pool of 3. There are two different potential questions for each thermometer. Hence 6 questions in total.

Used for LANTITE preparation (Australia). MG = Measurement & Geometry strand. Student must convert the time shown on the analog clock to 24 hour time. One of six analog clock images is randomly selected and displayed.

Used for LANTITE preparation (Australia). MG = Measurement & Geometry strand. Student must calculate distance swum in km given number of laps of 50m pool, days of week and weeks in term. These variables are randomly selected.

Used for LANTITE preparation (Australia). NA = Number & Algebra strand. Students calculate the cost of the halogen globes given electricity cost, number of globes, number of years, replacement cost and lifespan of globes. Some of these variables are randomly selected. There are more than 10 different versions of this question.

Harder inequalities that involve terms like $\frac{1}{x}$ where multiplication by the denominator requires you to split into cases for positive or negative, or you multiply by the square of the denominator.

Solve linear equations with one unknown. Including brackets and fractions.

A demonstration of embedding various kinds of media in a question.

A demonstration of the Shear and Bending Moment Extension

 Students must derive the shear and bending moment functions for beam loaded with a parabolic distributed load described with a loading function.  Diagrams are given, but the students must derive the equations by integration.

Shows how to mark a boolean expression, by checking all possible values of the free variables. There's an information step containing a reminder of the syntax for boolean operations.

Dividing amounts in ratios

Picking a ratio out of a list that is not equivalent to the others.

Calculating the integral of a function of the form $ax^2 \cos(bx)$ using integration by parts.

Calculating the integral of a function of the form $\frac{nx^{n-1}}{x^n+a}$ using integration by substitution.

Using the various versions of $\cos{2x}$ identity to integrate $\sin^2{x}$ and $\cos^2{x}$.

Calculating the integral of a function of the form $\frac{c}{(x+a)(x+b)}$ using partial fractions.

Calculating the definite integral $\int_{n_1}^{n_2}a_1x^{b_1}+a_2x^{b_2}+a_3x^{b_3} dx$.

Calculating the integral of a function of the form $a_1x^{b_1}+a_2x^{b_2}+a_3x^{b_3}$ using a table of integrals. 

Find roots and the area under a parabola

Given a random spandrel, find the expressions for the differential elements of area and the coordinates of its centroid needed to determine the location of the centroid by integration. 

Solving simple linear equations in $\mathbb{Q}$ and $\mathbb{Z}_n$ for $n= 13, \;17$ or $19$.