Cubes Cut Into Four Pieces
Age 5 to 7 Challenge Level:
Eight children each had a cube made from modelling clay. They cut them into four pieces which were all exactly the same shape and size. Whose pieces are the same? Can you decide who made each set?
Shadow Play
Age 5 to 7 Challenge Level:
Here are shadows of some 3D shapes. What shapes could have made them?
Happy Halving
Age 5 to 7 Challenge Level:
Can you split each of the shapes below in half so that the two parts are exactly the same?
Overlaps
Age 5 to 7 Challenge Level:
What does the overlap of these two shapes look like? Try picturing it in your head and then use some cut-out shapes to test your prediction.
Skeleton Shapes
Age 5 to 7 Challenge Level:
How many balls of modelling clay and how many straws does it take to make these skeleton shapes?
Hundred Square
Age 5 to 7 Challenge Level:
A hundred square has been printed on both sides of a piece of paper. What is on the back of 100? 58? 23? 19?
Holes
Age 5 to 11 Challenge Level:
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?
How Would We Count?
Age 5 to 11 Challenge Level:
An activity centred around observations of dots and how we visualise number arrangement patterns.
Arranging Cubes
Age 7 to 11 Challenge Level:
A task which depends on members of the group working collaboratively to reach a single goal.
Square It
Age 11 to 16 Challenge Level:
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.
NRICH is part of the family of activities in the Millennium Mathematics Project.