Angles in polygons

problem
Favourite

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?
problem

Possible Pairs

Age

7 to 11

Challenge level

In this game, you turn over two cards and try to draw a triangle which has both properties.
problem

Data Duos

Age

7 to 11

Challenge level

Can you match the Venn diagram with the Carroll diagram that shows the same information?
problem

Diagonally Square

Age

7 to 11

Challenge level

Ayah conjectures that the diagonals of a square meet at right angles. Do you agree? How could you find out?
problem

Timber!

Age

7 to 11

Challenge level

How can the school caretaker be sure that the tree would miss the school buildings if it fell?
problem

Fred the Class Robot

Age

7 to 11

Challenge level

Billy's class had a robot called Fred who could draw with chalk held underneath him. What shapes did the pupils make Fred draw?
problem
Favourite

Quadrilaterals

Age

7 to 11

Challenge level

How many DIFFERENT quadrilaterals can be made by joining the dots on the 8-point circle?
problem

Cartesian Isometric

Age

7 to 11

Challenge level

The graph below is an oblique coordinate system based on 60 degree angles. It was drawn on isometric paper. What kinds of triangles do these points form?
problem
Favourite

Triangles All Around

Age

7 to 11

Challenge level

Can you find all the different triangles on these peg boards, and find their angles?
problem

Triangle Pin-Down

Age

7 to 11

Challenge level

Use the interactivity to investigate what kinds of triangles can be drawn on peg boards with different numbers of pegs.