These activities focus on finding all solutions. Working in a systematic way will ensure no possibilities are left out.
problem
Favourite
Robot Monsters
Age
5 to 7
Challenge level
Use these head, body and leg pieces to make Robot Monsters which are different heights.
problem
Favourite
Two Dice
Age
5 to 7
Challenge level
Find all the numbers that can be made by adding the dots on two dice.
problem
Favourite
Same Length Trains
Age
5 to 7
Challenge level
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
Age
5 to 7
Challenge level
My coat has three buttons. How many ways can you find to do up all the buttons?
problem
Favourite
Three Ball Line Up
Age
5 to 7
Challenge level
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
Age
5 to 7
Challenge level
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
Age
5 to 7
Challenge level
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
Age
5 to 7
Challenge level
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
Age
5 to 7
Challenge level
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
Age
5 to 7
Challenge level
How many different triangles can you draw on the dotty grid which each have one dot in the middle?
problem
Favourite
Beads and bags
Age
5 to 11
Challenge level
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?