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

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

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

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

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

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

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

What can you say about the child who will be first on the playground tomorrow morning at breaktime in your school?

problem

### Jumping squares

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.