I have used many of Tom Bennison’s resources, including his Christmas colouring for A Level students – these make perfect Christmas activities for older students. For more cards have a look at Tom’s Christmas themed resources.
Recently published is the GCHQ 2022 Christmas Challenge features seven puzzles based on the seven disciplines of languages, engineering, codebreaking, analysis, maths, coding and cyber security
For arts and craft lovers – construct a Christmas card from Clarissa Grandi on Artful Maths. I see for 2017, Clarissa used Spirograph, a great idea for Christmas cards. As a child, my Spirograph was definitely a favourite toy, if you don’t have a Spirograph set you could use this brilliant digital version, Inspirograph by Nathan Friend. Try altering the gears so that the fixed and rotating gear are the same size, or make one size a factor of the other, make the two sizes have a common factor, or not! Investigate. You can change the colours too and create a work of Art! Now there’s an app too – Spirograph on your phone!
Or we could create cards with Desmos designs!