Here are some starting points for mathematical investigation. What can you discover?

Here's how you can send your solutions to these problems.

problem

### Street Sequences

Investigate what happens when you add house numbers along a street in different ways.

problem

### Triangle Shapes

This practical problem challenges you to create shapes and patterns
with two different types of triangle. You could even try
overlapping them.

problem

Favourite

### Plants

Three children are going to buy some plants for their birthdays. They will plant them within circular paths. How could they do this?

problem

### Train Carriages

Suppose there is a train with 24 carriages which are going to be put together to make up some new trains. Can you find all the ways that this can be done?

problem

Favourite

### Consecutive Numbers

An investigation involving adding and subtracting sets of consecutive numbers. Lots to find out, lots to explore.

problem

Favourite

### Sweets in a box

How many different shaped boxes can you design for 36 sweets in one layer? Can you arrange the sweets so that no sweets of the same colour are next to each other in any direction?

problem

Favourite

### Follow the numbers

What happens when you add the digits of a number then multiply the result by 2 and you keep doing this? You could try for different numbers and different rules.