Triangles

problem
Cut and make

Age

7 to 11

Challenge level

Cut a square of paper into three pieces as shown. Now,can you use the 3 pieces to make a large triangle, a parallelogram and the square again?
problem
Part the polygons

Age

7 to 11

Challenge level

Draw three straight lines to separate these shapes into four groups - each group must contain one of each shape.
problem
Tri-five

Age

7 to 11

Challenge level

Find all the different shapes that can be made by joining five equilateral triangles edge to edge.
problem
Rectangle tangle

Age

7 to 11

Challenge level

The large rectangle is divided into a series of smaller quadrilaterals and triangles. Can you untangle what fractional part is represented by each of the shapes?
problem
Transformations on a pegboard

Age

7 to 11

Challenge level

How would you move the bands on the pegboard to alter these shapes?
problem
Nine-pin triangles

Age

7 to 11

Challenge level

How many different triangles can you make on a circular pegboard that has nine pegs?
problem
Putting two and two together

Age

7 to 11

Challenge level

In how many ways can you fit two of these yellow triangles together? Can you predict the number of ways two blue triangles can be fitted together?
problem
Triangle relations

Age

7 to 11

Challenge level

What do these two triangles have in common? How are they related?
problem
Three triangles

Age

7 to 11

Challenge level

What do you notice when you put three triangles together?
problem
Name that triangle!

Age

7 to 11

Challenge level

Can you sketch triangles that fit in the cells in this grid? Which ones are impossible? How do you know?