The 31^{st} December is the last day of the year. What mathematical "lasts" do you know?
What is the last two digit square number?
What is the last three digit cube number?
What is the last even prime number?
What is the last multiple of 7 which is a factor of 98?
What is the last digit of π rounded to 5 significant figures?
What is the last number you can show on your calculator?
What is the last number when ordered alphabetically?
What is the last polygon to have a name?
What is Fermat's Last Theorem?
Topics: Starter  Mixed  Number
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Teacher, do your students have
access to computers? 

Here a concise URL for a version of this page without the comments.
Transum.org/go/?Start=December31
Here is the URL which will take them to a student adventure for the end of the year.
Fireworks sound effect is by dobroide@freesound.org