Skip over navigation
Filling the Gaps
Age 14 to 16
Challenge Level 
It may be helpful to look at the problem What Numbers Can We
Make?
In which columns do the square numbers appear?
In which columns do the squares of even numbers appear? Can you explain why?
And the squares of odd numbers? Can you explain why?
How can we describe the numbers in a particular column?
You might want to start by looking at the completely empty columns.
In which columns do the square numbers appear?
In which columns do the squares of even numbers appear? Can you explain why?
And the squares of odd numbers? Can you explain why?
How can we describe the numbers in a particular column?
You might want to start by looking at the completely empty columns.
You may also like
Novemberish
a) A four digit number (in base 10) aabb is a perfect square. Discuss ways of systematically finding this number. (b) Prove that 11^{10}-1 is divisible by 100.