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Track design

14 to 16

Where should runners start the 200m race so that they have all run the same distance by the finish?

problem

Who is cheating?

14 to 16

A practical experiment provides data. Moving onto expected results provides a context to establish the multiplication rule in probability, and an intuitive approach to conditional probability.

problem

Swimming pool tiles

7 to 11

This activity creates an opportunity to explore all kinds of number-related patterns.

problem

Square difference

16 to 18

Which numbers can you write as a difference of two squares? In how many ways can you write $pq$ as a difference of two squares if $p$ and $q$ are prime?

article

Palindromes

5 to 14

Find out about palindromic numbers by reading this article.

article

3D drawing

11 to 16

The design technology curriculum requires students to be able to represent 3-dimensional objects on paper. This article introduces some of the mathematical ideas which underlie such methods.