Have a look at these photos of different fruit. How many do you see? How did you count?
Players take it in turns to choose a dot on the grid. The winner is the first to have four dots that can be joined to form a square.
I've made some cubes and some cubes with holes in. This challenge invites you to explore the difference in the number of small cubes I've used. Can you see any patterns?
An activity centred around observations of dots and how we visualise number arrangement patterns.
A hundred square has been printed on both sides of a piece of paper. What is on the back of 100? 58? 23? 19?
How many different triangles can you make on a circular pegboard that has nine pegs?
How can you arrange the 5 cubes so that you need the smallest number of Brush Loads of paint to cover them? Try with other numbers of cubes as well.
This challenge asks you to imagine a snake coiling on itself.
Here are the six faces of a cube - in no particular order. Here are three views of the cube. Can you deduce where the faces are in relation to each other and record them on the net of this cube?
What is the greatest number of counters you can place on the grid below without four of them lying at the corners of a square?
Watch this animation. What do you see? Can you explain why this happens?
Investigate how the four L-shapes fit together to make an enlarged L-shape. You could explore this idea with other shapes too.
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?
Each of the nets of nine solid shapes has been cut into two pieces. Can you see which pieces go together?
A task which depends on members of the group working collaboratively to reach a single goal.
This practical problem challenges you to make quadrilaterals with a loop of string. You'll need some friends to help!
You have been given three shapes made out of sponge: a sphere, a cylinder and a cone. Your challenge is to find out how to cut them to make different shapes for printing.
Can you work out what shape is made by folding in this way? Why not create some patterns using this shape but in different sizes?
What shape is the overlap when you slide one of these shapes half way across another? Can you picture it in your head? Use the interactivity to check your visualisation.
On the graph there are 28 marked points. These points all mark the vertices (corners) of eight hidden squares. Can you find the eight hidden squares?
We start with one yellow cube and build around it to make a 3x3x3 cube with red cubes. Then we build around that red cube with blue cubes and so on. How many cubes of each colour have we used?
What can you see? What do you notice? What questions can you ask?