Topic 5 - Binomial Theorem
We have below bronze, silver, gold and platinum tutorials for our Advanced Higher Maths Binomial Theorem 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 1.2a - Multiplying out brackets at bronze, silver and gold level.
- E+F 1.1b - Multiplying and dividing indices at bronze, silver and gold level.
- E+F 1.1b - More laws of indices at bronze, silver and gold level.
Contents:-
5.1 - Pascal's triangle and factorials
5.2 - Binomial expansion
5.2 - Binomial expansion
Video 53: Multiplying out simple brackets. In this video you will learn how to use the Binomial Theorem to multiply out simple brackets with larger powers.
Now you've watched the video, try these practice questions.
Adobe Acrobat document [114.1 KB]
Video 54: Multiplying out trickier brackets. In this video you will learn how to use the Binomial Theorem to multiply out trickier brackets with larger powers.
Now you've watched the video, try these practice questions.
Adobe Acrobat document [114.4 KB]
Video 55: Calculating specific terms in a binomial expansion. In this video you will learn how to use the Binomial Theorem to find the general term and how to use this to calculate specific terms.
Now you've watched the video, try these practice questions.
Adobe Acrobat document [190.0 KB]
SQA Exam Questions
You will find below a collection of Binomial Expansion 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.
5.2 - Binomial Expansion
- 2019 Question 9
- 2018 Question 3
- 2017 Question 1
- 2016 Question 3
- 2015 Question 1
- 2014 Question 2
- 2013 Question 1
- 2012 Question 4
- 2011 Question 2
- 2009 Question 8
- 2008 Question 8
- 2007 Question 1
- 2004 Question 2
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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