Week 6: Sum of 3 Cubes
(a) How many of the following numbers in the table can you form as the sum of 3 cubes of integers? (You can use negative integers if you wish).
(b) Research what the solution is for 30 and 33!
(c) Can you find a pattern that describes the numbers that are missing from this list?
Level of difficulty: Accessible for all
Syllabus knowledge required: None
This would be a good starter which could either be done when studying proof in Analysis.
You can download a pdf of the solution here.
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Published by Andrew Chambers
I am Head of Mathematics at a leading international school in Thailand. I am also a current IB examiner for the IB Mathematics coursework with an MSc. in Mathematics. Some of my websites include: ibmathsresources.com and intermathematics.com. These are used by millions of students for IA ideas and support IB teachers across hundreds of schools worldwide.
I have led webinars for IB teachers on the coursework process and have written hundreds of blog posts and articles exploring interesting coursework ideas. I thought it was time to make a course to share this with the IB community - I hope it is useful!
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