Topic 1 - Partial Fractions
We have below bronze, silver, gold and platinum tutorials for our Advanced Higher Maths Partial Fractions 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:-
National 5 Maths; E+F 1.3
Contents:-
1.0 - Algebraic long division
1.1 - Partial fractions
1.1: Partial Fractions
Outcome 1 - Bronze Level
Video 4: Partial fractions with distinct, linear factors. In this video we learn how to create partial fractions for a proper fraction with a denominator consisting of distinct, linear factors.
Now you've watched the video, try these practice questions.
Adobe Acrobat document [106.5 KB]
Outcome 2 - Silver Level
Video 5: Partial fractions with repeated linear factors. In this video we learn how to create partial fractions for a proper fraction with a denominator containing a repeated factor.
Now you've watched the video, try these practice questions.
Adobe Acrobat document [114.0 KB]
Outcome 3 - Gold Level
Video 6: Partial fractions with irreducible quadratic factors. In this video we learn how to create partial fractions for a proper fraction with a denominator containing an irriducable quadratic factor.
Now you've watched the video, try these practice questions.
Adobe Acrobat document [122.6 KB]
Outcome 4 - Platinum Level
Video 7: Partial fractions with improper fractions. You can only create partial fractions from proper fractions. In this video we learn how to deal with improper fractions.
Now you've watched the video, try these practice questions.
Adobe Acrobat document [113.0 KB]
SQA Exam Questions
You will find below a collection of Partial Fractions 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.
1.1 - Partial Fractions
- 2019 Question 4
- 2017 Question 2
- 2016 Question 13(a)
- 2014 Question 14(b)
- 2012 Question 15(a)
- 2011 Question 1(a)
- 2009 Question 14(a)
- 2008 Question 4(a)
- 2007 Question 4(a)
- 2005 Question 13(a)
- 2004 Question 5(a)
- 2002 Question A8(a)
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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