article
Multiplication series: Number arrays
This article for teachers describes how number arrays can be a useful representation for many number concepts.
Factors and multiples
article
Sums of Squares and Sums of Cubes
An account of methods for finding whether or not a number can be written as the sum of two or more squares or as the sum of two or more cubes.
article
Telescoping Functions
Take a complicated fraction with the product of five quartics top
and bottom and reduce this to a whole number. This is a numerical
example involving some clever algebra.
article
Divisibility Tests
This article explains various divisibility rules and why they work. An article to read with pencil and paper handy.
problem
Robotic Rotations
Age
11 to 16
Challenge level
How did the the rotation robot make these patterns?
problem
Satisfying Four Statements
Age
7 to 11
Challenge level
Can you find any two-digit numbers that satisfy all of these statements?
problem
Statement Snap
Age
7 to 14
Challenge level
You'll need to know your number properties to win a game of Statement Snap...
problem
Satisfying Statements
Age
11 to 14
Challenge level
Can you find any two-digit numbers that satisfy all of these statements?
problem
Space distances
Age
7 to 11
Challenge level
This task focuses on distances travelled by the asteroid Florence. It's an opportunity to work with very large numbers.