Exploring and noticing

problem

Lawn Border

Age

5 to 11

Challenge level

1 out of 3

If I use 12 green tiles to represent my lawn, how many different ways could I arrange them? How many border tiles would I need each time?
problem

Street Sequences

Age

5 to 11

Challenge level

1 out of 3

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

It's a Fence!

Age

5 to 11

Challenge level

1 out of 3

In this challenge, you will work in a group to investigate circular fences enclosing trees that are planted in square or triangular arrangements.
problem

Triple Cubes

Age

5 to 11

Challenge level

1 out of 3

This challenge involves eight three-cube models made from interlocking cubes. Investigate different ways of putting the models together then compare your constructions.
game

Strike It Out for Two

Age

5 to 11

Challenge level

1 out of 3

Strike it Out game for an adult and child. Can you stop your partner from being able to go?
problem

Counting Stick Conjectures

Age

5 to 11

Challenge level

1 out of 3

How many rectangles can you see? Are they all the same size? Can you predict how many rectangles there will be in counting sticks of different lengths?
problem

Month Mania

Age

5 to 11

Challenge level

2 out of 3

Can you design a new shape for the twenty-eight squares and arrange the numbers in a logical way? What patterns do you notice?
problem

Taking a Die for a Walk

Age

5 to 11

Challenge level

2 out of 3

Investigate the numbers that come up on a die as you roll it in the direction of north, south, east and west, without going over the path it's already made.
problem

Train Carriages

Age

5 to 11

Challenge level

2 out of 3

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

Four Colours

Age

5 to 11

Challenge level

2 out of 3

Kate has eight multilink cubes. She has two red ones, two yellow, two green and two blue. She wants to fit them together to make a cube so that each colour shows on each face just once.