These activities ask you to find all possible solutions. If you work in a systematic way, you will be sure not to leave any out!
problem
Favourite
Robot Monsters
Use these head, body and leg pieces to make Robot Monsters which are different heights.
problem
Favourite
Same Length Trains
How many trains can you make which are the same length as Matt's and Katie's, using rods that are identical?
problem
Favourite
Button-Up
My coat has three buttons. How many ways can you find to do up all the buttons?
problem
Favourite
Three Ball Line Up
Use the interactivity to help get a feel for this problem and to find out all the possible ways the balls could land.
problem
Favourite
6 Beads
If you put three beads onto a tens/ones abacus you can make the numbers 3, 30, 12 or 21. What numbers can be made with six beads?
problem
Favourite
A City of Towers
In this town, houses are built with one room for each person. There are some families of seven people living in the town. In how many different ways can they build their houses?
problem
Favourite
Ladybirds in the Garden
In Sam and Jill's garden there are two sorts of ladybirds with 7 spots or 4 spots. What numbers of total spots can you make?
problem
Favourite
Triangle Animals
How many different ways can you find to join three equilateral triangles together? Can you convince us that you have found them all?
problem
Favourite
Inside Triangles
How many different triangles can you draw on the dotty grid which each have one dot in the middle?
problem
Favourite
Beads and bags
How could you put these three beads into bags? How many different ways can you do it? How could you record what you've done?