Combinations

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?

Which two items of fruit could Kate and Sam choose? Can you order the prices from lowest to highest?

Noah saw 12 legs walk by into the Ark. How many creatures did he see?

Arrange the numbers 1 to 6 in each set of circles below. The sum of each side of the triangle should equal the number in its centre.

Tim had nine cards each with a different number from 1 to 9 on it. How could he have put them into three piles so that the total in each pile was 15?

Use the interactivity to help get a feel for this problem and to find out all the possible ways the balls could land.