Pat counts her sweets in different groups and both times she has some left over. How many sweets could she have had?
Here are shadows of some 3D shapes. What shapes could have made them?
Frances and Rishi were given a bag of lollies. They shared them out evenly and had one left over. How many lollies could there have been in the bag?
If there are 3 squares in the ring, can you place three different numbers in them so that their differences are odd? Try with different numbers of squares around the ring. What do you notice?
This is a game for two players. Can you find out how to be the first to get to 12 o'clock?
Here are some arrangements of circles. How many circles would I need to make the next size up for each? Can you create your own arrangement and investigate the number of circles it needs?
Are these statements relating to odd and even numbers always true, sometimes true or never true?
Find a great variety of ways of asking questions which make 8.
Can you work out how to win this game of Nim? Does it matter if you go first or second?
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?
