- Khan Academy - maths, science, coding. Free online learning with video tutorials and practice activities. https://www.khanacademy.org/
- NZ Maths - NZ maths curriculum. Links to many activities at a wide variety of levels. https://nzmaths.co.nz/students-and-wh-nau
- Nrich Maths - lots of great rich maths tasks at varying levels http://nrich.maths.org/frontpage
- Scratch - computer programming https://scratch.mit.edu/
- Code.Org - many computer programming links and ideas https://code.org/
- Massive Open Online Courses - free learning on a huge variety of topics - university level. https://www.mooc-list.com/
- 'The Kids Should See This' - a great website linking to a vast array of videos to ignite curiosity or help with answering questions. http://thekidshouldseethis.com/
- NZ Centre for Gifted Education run some online learning courses 'Gifted Online' - fees apply. http://nzcge.co.nz/our+services/gifted+online?src=nav
This is just a selection - there are many others - please let me know if you have any favourites that you think may be worth adding to this list to share with others.
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