Modular Arithmetic
Who is Carl Friedrich Gauss?
You have 75 batteries, and you can fit 25 in 1 box. How many boxes would you need?
What is 0 (mod 25)?
Wilson's Theorem
Who is Sir John Wilson?
If it's 10:45 AM now, what time will it be in 150 minutes?
What is 1:15?
Lagrange's Theorem
Who is Joseph-Louis Lagrange?
A company packs 500 items into boxes that each hold 12 items. How many full boxes are packed, and how many items are left over?
What is 41 full with 8 items left?
Euler's Totient Function
Who is Leonhard Euler?
A bus arrives at a stop every 20 minutes. If the first bus arrives at 6:00 AM, what time will the 15th bus arrive?
What is 11:00 AM?
Chinese Remainder Theory
Who is Sun Tzu?
You have 23 crayons, and you can fit 7 in 1 box. How many boxes would you need?
What is 2 (mod 7)?