Factors and multiples

Investigate the smallest number of moves it takes to turn these mats upside-down if you can only turn exactly three at a time.

Data is sent in chunks of two different sizes - a yellow chunk has 5 characters and a blue chunk has 9 characters. A data slot of size 31 cannot be exactly filled with a combination of yellow and blue chunks, explore what sizes near to 31 can, or cannot, be exactly filled.

Can you make lines of Cuisenaire rods that differ by 1?

How many trains can you make which are the same length as Matt's and Katie's, using rods that are identical?

Are these domino games fair? Can you explain why or why not?

Weekly Problem 48 - 2013
What is the remainder when the number 743589×301647 is divided by 5?

Which of the numbers shown is the product of exactly 3 distinct prime factors?

Can you help the children in Mrs Trimmer's class make different shapes out of a loop of string?

In this problem we are looking at sets of parallel sticks that cross each other. What is the least number of crossings you can make? And the greatest?

In this maze of hexagons, you start in the centre at 0. The next hexagon must be a multiple of 2 and the next a multiple of 5. What are the possible paths you could take?