Diagnostic tests and materials
Find out more about the Macquarie University Mathematical Skills (MUMS) modules that are available to you.
MUMS modules
Each MUMS module begins with a short diagnostic test:
- module one diagnostic test [PDF 20.1KB]
- module two diagnostic test [PDF 36.4KB]
- module three diagnostic test [PDF 41.1KB]
- module four diagnostic test [PDF 123KB]
These tests should help you decide whether you need to work through entire modules, or just individual chapters.
The documents below are in Portable Document Format (PDF). You may need to zoom in to see all formulae and graphics correctly.
If you would like to make a recommendation or correction to any of the content, send an email to carolyn.kennett@mq.edu.au.
To buy one or all of these books, follow the instructions on purchasing MUMS Books. When you access some chapters, you will need to download a zipped file as they have short videos attached to some examples.
To view a chapter with videos:
- Download and save the zipped file onto your computer.
- Unzip the file.
- Click on the PDF inside. You will need to view the PDF in Adobe Acrobat Reader to see the videos.
We greatly appreciate your feedback on the videos. Take our short survey on our Numeracy Centre videos.
Module One
You can download the complete Module One [PDF 245KB], or individual worksheets and answers for each topic below:
- 1.1 Order of Operations [ZIP 1.05MB]
- 1.2 Factorisation of Integers [ZIP 1.1MB]
- 1.3 Fractions [ZIP 2.2MB]
- 1.4 Fractions and Decimals [PDF 41.9KB]
- 1.5 Percentages [PDF 43.7KB]
- 1.6 Signed Numbers [PDF 49.8KB]
- 1.7 Further Signed Numbers [PDF 51.6KB]
- 1.8 Power Laws [PDF 52.3KB]
- 1.9 Introduction to Algebra [PDF 49.2KB]
- 1.10 Further Algebra [PDF 48.7KB]
Module Two
You can download the complete Module Two [PDF 368KB], or individual worksheets and answers for each topic below:
- 2.1 Factors of Algebraic Expressions [PDF 52.3KB]
- 2.2 Solving Equations in One Variable [PDF 51.8KB]
- 2.3 Algebraic Fractions [PDF 60.5KB]
- 2.4 Introduction to Inequalities [PDF 65.8KB]
- 2.5 Arithmetic with Surds [PDF 59.8KB]
- 2.6 Factorizing Algebraic Expressions [PDF 102KB]
- 2.7 Logarithms and Exponentials [ZIP 2.7MB]
- 2.8 Introduction to Trigonometry [PDF 93.6KB]
- 2.9 Introduction to the Cartesian Plane [PDF 93.6KB]
Module Three
You can download the complete Module Three [PDF 585KB], or individual worksheets and answers for each topic below:
- 3.1 Functions [ZIP 1MB]
- 3.2 Graphs [PDF 169KB]
- 3.3 Trigonometry [PDF 69.5KB]
- 3.4 Further Trigonometry [ZIP 6.4MB]
- 3.5 Simultaneous Equations [PDF 51.3KB]
- 3.6 Arithmetic and Geometric Progressions [PDF 52.9KB]
- 3.7 Continuity and Limits [PDF 67.6KB]
- 3.8 Introduction to Differentiation [PDF 117KB]
- 3.9 Further Differentiation [PDF 101KB]
- 3.10 Differentiating Special Functions [PDF 59.4KB]
Module Four
You can download the complete Module Four [PDF 678KB], or individual worksheets and answers for each topic below:
- 4.1 More Differentiation [PDF 199KB]
- 4.2 Introduction to Integration [PDF 201KB]
- 4.3 Integrating Special Functions [PDF 147KB]
- 4.4 Applications of Integration [PDF 132KB]
- 4.5 Polynomials [PDF 138KB]
- 4.6 Properties of Trigonometric Functions [PDF 221KB]
- 4.7 Modifying Functions [PDF 282KB]
- 4.8 Composite and Inverse Functions [PDF 184KB]
- 4.9 Exponentials and Logarithms [PDF 176KB]
- 4.10 Sigma Notation [PDF 141KB]
- 4.11 Counting [PDF 126KB]
- 4.12 The Binomial Theorem [PDF 137KB]
- 4.13 Induction [PDF 107KB]
© Macquarie University 2015
This material is available free to all individuals, on the understanding that it is not to be used for financial gains, and may be downloaded and/or photocopied, with or without permission from the authors. However, this material may not be kept on any information storage and retrieval system without permission from the authors, unless such system is not accessible to any individual other than its owners.