How Numbers Behave

How numbers behave

Our number system uses powers of 10 to express large numbers concisely. These problems have been chosen to help you develop a better understanding of this place value system.


Dicey Operations 

Age 11 to 14 Challenge Level:
Who said that adding, subtracting, multiplying and dividing couldn't be fun?

Two and Two 

Age 11 to 14 Challenge Level:
How many solutions can you find to this sum? Each of the different letters stands for a different number.

Difference Sudoku 

Age 14 to 16 Challenge Level:
Use the differences to find the solution to this Sudoku.

Always a Multiple? 

Age 11 to 14 Challenge Level:
Think of a two digit number, reverse the digits, and add the numbers together. Something special happens...

Method in Multiplying Madness? 

Age 7 to 14 Challenge Level:
Watch our videos of multiplication methods that you may not have met before. Can you make sense of them?

Power Mad! 

Age 11 to 14 Challenge Level:
Powers of numbers behave in surprising ways. Take a look at some of these and try to explain why they are true.

Short Problems 

Age 11 to 14
A collection of short problems to test your understanding of place value.