It's important to give children opportunities to explore, make mistakes and talk about what they find out. Justifying your working is an important precursor to proof.
problem
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?
problem
Sitting round the party tables
Age
5 to 11
Challenge level
Sweets are given out to party-goers in a particular way. Investigate the total number of sweets received by people sitting in different positions.
problem
Walking round a triangle
Age
5 to 7
Challenge level
This ladybird is taking a walk round a triangle. Can you see how much he has turned when he gets back to where he started?
problem
The games' medals
Age
5 to 7
Challenge level
Can you see who the gold medal winner is? What about the silver medal winner and the bronze medal winner?
problem
The Brown family
Age
5 to 7
Challenge level
Use the information about Sally and her brother to find out how many children there are in the Brown family.
problem
Teddy Town - part five
Age
5 to 11
Challenge level
There are thirty six teddies in Teddy Town - six red, six blue, six yellow, six green, six purple and six turquoise. There are also thirty six houses, six of each colour. Can you put them on the map of Teddy Town according to the rules?
problem
Two on five
Age
5 to 11
Challenge level
Take 5 cubes of one colour and 2 of another colour. How many
different ways can you join them if the 5 must touch the table and
the 2 must not touch the table?