Algorithms

problem

Peaches in General

Age

14 to 16

Challenge level

It's like 'Peaches Today, Peaches Tomorrow' but interestingly generalized.
problem

Triangle Incircle Iteration

Age

14 to 16

Challenge level

Keep constructing triangles in the incircle of the previous triangle. What happens?
problem

Vedic Sutra - All From 9 and Last From 10

Age

14 to 16

Challenge level

Vedic Sutra is one of many ancient Indian sutras which involves a cross subtraction method. Can you give a good explanation of WHY it works?
problem

Unusual Long Division - Square Roots Before Calculators

Age

14 to 16

Challenge level

However did we manage before calculators? Is there an efficient way to do a square root if you have to do the work yourself?
problem

Sorted

Age

14 to 18

Challenge level

How can you quickly sort a suit of cards in order from Ace to King?
problem

Procedure Solver

Age

16 to 18

Challenge level

Can you think like a computer and work out what this flow diagram does?
$Happy \birthDay$

problem

Happy BirthDay

Age

16 to 18

Challenge level

Can you interpret this algorithm to determine the day on which you were born?
problem

Jluuis or Even Asutguus?

Age

16 to 18

Challenge level

Sixth challenge cipher
article
Tournament Scheduling

Scheduling games is a little more challenging than one might desire. Here are some tournament formats that sport schedulers use.
article
On What Day Did It Happen?

Read this article to find out the mathematical method for working out what day of the week each particular date fell on back as far as 1700.