Odd and even numbers

Is it possible to place 2 counters on the 3 by 3 grid so that there is an even number of counters in every row and every column? How about if you have 3 counters or 4 counters or....?

There are ten children in Becky's group. Can you find a set of numbers for each of them? Are there any other sets?

Can you place the numbers from 1 to 10 in the grid?

Each child in Class 3 took four numbers out of the bag. Who had made the highest even number?

Yasmin and Zach have some bears to share. Which numbers of bears can they share so that there are none left over?

Ben's class were cutting up number tracks. First they cut them into twos and added up the numbers on each piece. What patterns could they see?

In how many different ways can you break up a stick of seven interlocking cubes? Now try with a stick of eight cubes and a stick of six cubes. What do you notice?

Think of a number, square it and subtract your starting number. Is the number you're left with odd or even? How do the images help to explain this?

Square numbers can be represented as the sum of consecutive odd numbers. What is the sum of 1 + 3 + ..... + 149 + 151 + 153?

There is a clock-face where the numbers have become all mixed up. Can you find out where all the numbers have got to from these ten statements?