Nim

Start with any number of counters in any number of piles. 2 players take it in turns to remove any number of counters from a single pile. The loser is the player who takes the last counter.

Latin Numbers

Can you create a Latin Square from multiples of a six digit number?

Back to Basics

Find b where 3723(base 10) = 123(base b).

Composite Notions

Age 14 to 16 Challenge Level:

A composite number is one that is neither prime nor 1.

Show that 10201 is composite in any base.

Likewise show that 10101 is composite in any base.

Further Reading: Learn About Number Bases by Toni Beardon

Creating and manipulating expressions and formulae. Networks/Graph Theory. Inequalities. Number theory. Mathematical reasoning & proof. Place value. Making and proving conjectures. Expanding and factorising quadratics. Generalising. Number bases.

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Nim

Latin Numbers

Back to Basics

Composite Notions

Age 14 to 16 Challenge Level: