Exploring and noticing

problem

Triple Cubes

Age

5 to 11

Challenge level

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

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

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

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

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

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

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.
problem

Junior Frogs

Age

5 to 11

Challenge level

Have a go at this well-known challenge. Can you swap the frogs and toads in as few slides and jumps as possible?
game

Sliding Game

Age

7 to 11

Challenge level

A shunting puzzle for 1 person. Swop the positions of the counters at the top and bottom of the board.
problem

Sending Cards

Age

7 to 11

Challenge level

This challenge asks you to investigate the total number of cards that would be sent if four children send one to all three others. How many would be sent if there were five children? Six?