Rainbow Squares

Rainbow Squares

Rainbow Squares is a challenge inspired by Henri Picciotto. Each rainbow arc needs to be anchored at two integers that sum to a square. Here we have tried to find a solution for 1-10, but have failed because the last two numbers, 2 and 3, do not sum to a square. Is...
Full Integer Collatz

Full Integer Collatz

Full Integer Collatz (MathPickle, 2012)   Students can play with variations of the famous 1937 Collatz conjecture. Here we look at two. Students can also come up with their own Collatz-like conjectures. Brian Kehrig, a 15 year old student asked about the...
Symbiotic Sets – addition and division

Symbiotic Sets – addition and division

Symbiotic Sets (MathPickle, 2014) Symbiotic sets are an excuse to practice problem solving and division.  I love these little sets and hope you’ll surpass me by finding more.  Please email me your discoveries… In my school, the brightest boys did math and...
Wormhole!

Wormhole!

Wormhole! (MathPickle, 2011 – Based on work by Harold Coxeter and John Horton Conway) Send your students on a dangerous trip which coincidently happens to be a fantastic introduction/practice for division. If they make a mistake they’ll crash in a heap of...
1-100 Composite Connector Challenge

1-100 Composite Connector Challenge

1-100 Composite Connector Challenge This is a challenge for a class that has nothing to do except rejoice in connecting numbers that share common prime factors. The highest score that I've managed is 195, but I don't use computers so this can almost certainly be...