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Six new homes are being built! They can be detached, semi-detached or terraced houses. How many different combinations of these can you find?
Train Carriages
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?
Let's Investigate Triangles
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?
Age 5 to 7
Challenge Level
How many triangles can you make using sticks that are 3cm, 4cm and 5cm long?
Each side can only use one stick but a triangle can use more than one stick of the same length.
You may like to use this interactivity to try out your ideas.
You could use sticks that have 4 holes, 5 holes and 6 holes to represent the 3cm, 4cm and 5cm sticks.
NRICH is part of the family of activities in the Millennium Mathematics Project.