Topic 7 - Number Theory
We have below bronze, silver, gold and platinum tutorials for our Advanced Higher Maths Number Theory topic. Typically as you work through the modules, the difficulty of the skills increase by one step ensuring smooth progression. Simply click on the video to play it and pause it at the relevant points for you to attempt your practice question. Each tutorial has a corresponding worksheet for you to download for additional practice. Make sure you have a pen and paper handy! Be sure to mark your work for every exercise attempted. Good luck!
Essential prior knowledge:-
3rd Level Maths; MTH 305a
Contents:-
7.1 - Euclidean Algorithm
7.2 - Changing number bases
7.1: Number Theory
The Euclidean algorithm. In this video you will learn how to use a neat technique to find the greatest common divisor of two integers.
Now you've watched the video, try these practice questions.
Adobe Acrobat document [118.2 KB]
Finding the values of 'a' and 'b'. In this video, we apply our knowledge of the Euclidean algorithm to help us find two numbers that we can multiply our two integers by to make the g.c.d.
Now you've watched the video, try these practice questions.
Adobe Acrobat document [126.7 KB]
Changing number bases. In this video, we learn about number bases other than 10 and how to change between them.
Now you've watched the video, try these practice questions.
Adobe Acrobat document [112.6 KB]
SQA Exam Questions
You will find below a collection of Number Theory SQA past paper questions. You should click on a question, pause the video when instructed and give the question your best shot. Then un-pause the video and watch the worked solution. You should make this section a regular place to come back to when revising. Even if you get the correct answer, it is recommended that you try all these questions more than once at various stages throughout the year.
7.1 - Euclidean Algorithm
- 2018 Question 5
- 2017 Question 8
- 2015 Question 7
- 2013 Question 5
- 2009 Question 10
- 2007 Question 7
- 2004 Question 8
Alternatively you can click here to view all the questions on a playlist.
7.1 - Changing number bases
Alternatively you can click here to view all the questions on a playlist.
Congratulations
You have completed this module - well done! Remember to go back and redo any areas of weakness, that's how we improve. If you are happy with all areas, go back to the main menu and pick another topic to practice!
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