Cycling Squares
Can you make a cycle of pairs that add to make a square number using all the numbers in the box below, once and once only?
Can you make a cycle of pairs that add to make a square number using all the numbers in the box below, once and once only?
When you throw two regular, six-faced dice you have more chance of getting one particular result than any other. What result would that be? Why is this?
Six balls are shaken. You win if at least one red ball ends in a corner. What is the probability of winning?
What could the half time scores have been in these Olympic hockey matches?
Find the missing coordinates which will form these eight quadrilaterals. These coordinates themselves will then form a shape with rotational and line symmetry.
I am thinking of three sets of numbers less than 101. Can you find all the numbers in each set from these clues?
Here are some examples of 'cons', and see if you can figure out where the trick is.
This problem offers you two ways to test reactions - use them to investigate your ideas about speeds of reaction.