Working systematically
problem
3 Rings
Age
7 to 11
Challenge level
If you have three circular objects, you could arrange them so that
they are separate, touching, overlapping or inside each other. Can
you investigate all the different possibilities?
problem
Homes
Age
5 to 7
Challenge level
Six new homes are being built! They can be detached, semi-detached or terraced houses. How many different combinations of these can you find?
problem
Plants
Age
5 to 14
Challenge level
Three children are going to buy some plants for their birthdays. They will plant them within circular paths. How could they do this?
problem
Tiles on a Patio
Age
7 to 11
Challenge level
How many ways can you find of tiling the square patio, using square
tiles of different sizes?
problem
Tea Cups
Age
7 to 14
Challenge level
Place the 16 different combinations of cup/saucer in this 4 by 4 arrangement so that no row or column contains more than one cup or saucer of the same colour.
problem
Consecutive Numbers
Age
7 to 14
Challenge level
An investigation involving adding and subtracting sets of consecutive numbers. Lots to find out, lots to explore.
problem
Dienes' Logiblocs
Age
5 to 7
Challenge level
This problem focuses on Dienes' Logiblocs. What is the same and
what is different about these pairs of shapes? Can you describe the
shapes in the picture?
problem
Prompt Cards
Age
7 to 11
Challenge level
These two group activities use mathematical reasoning - one is numerical, one geometric.
problem
Cereal Packets
Age
7 to 11
Challenge level
How can you put five cereal packets together to make different
shapes if you must put them face-to-face?