Sometimes it's not easy to know how to start a problem. Try talking to friend about how to start, and what sort of plan you'll have to carry on.
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
Teddy Town
Age
5 to 11
Challenge level
There are nine teddies in Teddy Town - three red, three blue and three yellow. There are also nine houses, three of each colour. Can you put them on the map of Teddy Town according to the rules?
problem
Heads and Feet
Age
5 to 7
Challenge level
On a farm there were some hens and sheep. Altogether there were 8 heads and 22 feet. How many hens were there?
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?
problem
Eggs in Baskets
Age
5 to 7
Challenge level
There are three baskets, a brown one, a red one and a pink one, holding a total of 10 eggs. How many eggs are in each basket?
problem
Caterpillars
Age
5 to 7
Challenge level
These caterpillars have 16 parts. What different shapes do they make if each part lies in the small squares of a 4 by 4 square?
problem
In the Playground
Age
5 to 11
Challenge level
What can you say about the child who will be first on the playground tomorrow morning at breaktime in your school?
problem
Jumping squares
Age
5 to 7
Challenge level
In this problem it is not the squares that jump, you do the jumping! The idea is to go round the track in as few jumps as possible.