You may also like

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?

Three Fingers and a Loop of String

Using a loop of string stretched around three of your fingers, what different triangles can you make? Draw them and sort them into groups.

Colouring Triangles

Explore ways of colouring this set of triangles. Can you make symmetrical patterns?

Seven Sticks

Age 5 to 7 Challenge Level:

Jordan, Harry, Stan and Julia from Dennington Primary School have been experimenting with this problem. All of them found this arrangement of the seven sticks:

triangle made of base 3 sticks and sides 2 sticks each

Harry, Stan and Julia found this:

2 identical triangles with sides of 1 stick pushed together so bases touch

Harry and Julia both managed to arrange the sticks to form these two sets of triangles:

an equilateral triangle of 3 sticks with two triangles off one of its sides using 2 more sticks each
2 equilateral triangles arranged corner to corner like arrow heads pointing towards each other, 7th stick laid to side forming new triangle

Stan was the only one to find this arrangement:

equilateral triangle made with 3 sticks then another equilateral triangle made with base of first so they point like arrow heads away from each other. Last two sticks make another triangle using part of one side as base

You have all been very imaginative - well done. I wonder whether you can find any others?