Kimie and Sebastian were making sticks from interlocking cubes and lining them up. Can they make their lines the same length? Can they make any other lines?

Pat counts her sweets in different groups and both times she has some left over. How many sweets could she have had?

Can you work out the arrangement of the digits in the square so that the given products are correct? The numbers 1 - 9 may be used once and once only.

Can you use this information to work out Charlie's house number?

I throw three dice and get 5, 3 and 2. Add the scores on the three dice. What do you get? Now multiply the scores. What do you notice?

What is the lowest number which always leaves a remainder of 1 when divided by each of the numbers from 2 to 10?

Arrange the four number cards on the grid, according to the rules, to make a diagonal, vertical or horizontal line.

Explore patterns based on a rhombus. How can you enlarge the pattern - or explode it?

This article for teachers describes how number arrays can be a useful reprentation for many number concepts.