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Have a look at these photos of different fruit. How many do you see? How did you count?
Try out this number trick. What happens with different starting numbers? What do you notice?
Use the interactivities to fill in these Carroll diagrams. How do you know where to place the numbers?
Are these statements relating to odd and even numbers always true, sometimes true or never true?
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?
How many possible symmetrical necklaces can you find? How do you know you've found them all?
An investigation looking at doing and undoing mathematical operations focusing on doubling, halving, adding and subtracting.
Exploring the structure of a number square: how quickly can you put the number tiles in the right place on the grid?
An activity centred around observations of dots and how we visualise number arrangement patterns.
The computer has made a rectangle and will tell you the number of spots it uses in total. Can you find out where the rectangle is?
How would you create the largest possible two-digit even number from the digit I've given you and one of your choice?
What could the half time scores have been in these Olympic hockey matches?
Can you put these times on the clocks in order? You might like to arrange them in a circle.
Can you place these quantities in order from smallest to largest?
Sweets are given out to party-goers in a particular way. Investigate the total number of sweets received by people sitting in different positions.
"Ip dip sky blue! Who's 'it'? It's you!" Where would you position yourself so that you are 'it' if there are two players? Three players ...?
This challenge involves eight three-cube models made from interlocking cubes. Investigate different ways of putting the models together then compare your constructions.
Use your addition and subtraction skills, combined with some strategic thinking, to beat your partner at this game.
Ben and his mum are planting garlic. Can you find out how many cloves of garlic they might have had?
An environment which simulates working with Cuisenaire rods.
A hundred square has been printed on both sides of a piece of paper. What is on the back of 100? 58? 23? 19?
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?
There were chews for 2p, mini eggs for 3p, Chocko bars for 5p and lollypops for 7p in the sweet shop. What could each of the children buy with their money?
Ben has five coins in his pocket. How much money might he have?