Working systematically

Vincent and Tara are making triangles with the class construction set. They have a pile of strips of different lengths. How many different triangles can they make?

Find all the numbers that can be made by adding the dots on two dice.

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?

Use these head, body and leg pieces to make Robot Monsters which are different heights.

Here are some rods that are different colours. How could I make a yellow rod using white and red rods?

How many trains can you make which are the same length as Matt's and Katie's, using rods that are identical?

Can you hang weights in the right place to make the the number balance balanced?

How many different triangles can you draw which each have one dot in the middle?

Can you lay out the pictures of the drinks in the way described by the clue cards?