Odd and even numbers

Can you find out where all the numbers on this clock face are using the ten statements?

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?

Which of these clues are needed to find the number? Which clues aren't helpful?

Can you put the numbers 1-5 in the V shape so that both 'arms' have the same total?

In this game the winner is the first to make the total 37. Is this a fair game?

Can you order the digits from 1-3 to make a number which is divisible by 3 so when the last digit is removed it becomes a 2-figure number divisible by 2, and so on?

Look at what happens when you take a number, square it and subtract your answer. What kind of number do you get? Can you prove it?

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

Are these games fair? How can you tell?

Alison, Bernard and Charlie have been exploring sequences of odd and even numbers, which raise some intriguing questions...