Simple exercises introducing the fundamental set operations, and NUMBAS syntax for sets.

Intorduction to proof and existence statements.

Simple questions on square numbers, square roots, cube number, cube roots and prime numbers.

Simple inequalities - finding values of x

Try to solve some simultaneous equations using matrix inverses.

This is a diagnostic test - we use it to determine where extra mathematical help is needed for the class as a whole and where you get to see specific areas where you may need to work on your mathematical skills. The diagnostic test DOES NOT count in any way towards your first year grade.

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Exercises covering matrix addition and subtraction

This is a set of practice questions for the non-right-angle trig component of the Australian year 12 Mathematics Standard 2 course.

It asks questions about

• finding sides and angles of right angle triangles,
• finding areas of triangles,
• using the sine rule,
• using the cos rule,
• bearings, and
• radial surveys.

This is a set of questions for students to practice identifying parabolas, hyperbolas and exponentials.

There are also a few questions asking students to draw graphs, and to evaluate the curves at specific points.

10 questions are selected from a larger pool. 

In the first question students are asked to identify the type of a graph.

In the second question students are asked to identify the type of an equation.

Then next 6 questions are basic questions about evaluating points on a curve or matching curves and equations.

The last 2 questions are applications - e.g. compound interest, displayed as an equation, a table or a graph.

Practise solving simultaneous linear equations graphically and algebraically.

Gives students an introduction to the injective property of functions

Introduces students to the floor and ceiling functions

Uses JSXGraph to generate a plot for a cubic, with given critical points, along with three other incorrect graphs with modified properties. JSXGraph code is commented.

Nursing question. Determine mg/mL or mcg/mL concentration. Division has a remainder.

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Given the formula for BMI, students are asked to determine a patient's BMI given their height in cm (as people usually do) and their mass in kg.

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