Angles in polygons

problem

Equal Lengths

Age

11 to 14

Challenge level

Weekly Problem 29 - 2013
An equilateral triangle is drawn inside a rhombus, both with equal side lengths. What is one of the angles of the rhombus?
problem

Tessellating Hexagons

Age

11 to 14

Challenge level

Which hexagons tessellate?
problem

Trapezium Arch

Age

11 to 14

Challenge level

Weekly Problem 27 - 2007
Ten stones form an arch. What is the size of the smallest angles of the trapezoidal stones?
problem

Three Triangles

Age

7 to 11

Challenge level

What do you notice when you put three triangles together?
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

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

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

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.