Perimeter

problem

Rod Area

Age

7 to 11

This task challenges you to create symmetrical U shapes out of rods and find their areas.
problem

Fencing Lambs

Age

7 to 11

Challenge level

1 out of 3

A thoughtful shepherd used bales of straw to protect the area around his lambs. Explore how you can arrange the bales.
problem

Polydron

Age

7 to 11

Challenge level

1 out of 3

This activity investigates how you might make squares and pentominoes from Polydron.
game

Dicey Perimeter, Dicey Area

Age

7 to 11

Challenge level

1 out of 3

In this game for two players, you throw two dice and find the product. How many shapes can you draw on the grid which have that area or perimeter?
problem

Coins on a Plate

Age

11 to 14

Challenge level

1 out of 3

Points A, B and C are the centres of three circles, each one of which touches the other two. Prove that the perimeter of the triangle ABC is equal to the diameter of the largest circle.
problem

Is There a Theorem?

Age

11 to 14

Challenge level

2 out of 3

Draw a square. A second square of the same size slides around the first always maintaining contact and keeping the same orientation. How far does the dot travel?
problem

L-Emental

Age

11 to 14

Challenge level

2 out of 3

Weekly Problem 28 - 2006
What can you say about the rectangles that form this L-shape?
problem

Triangles' Triangle

Age

11 to 14

Challenge level

2 out of 3

Weekly Problem 27 - 2009
The perimeter of a large triangle is 24 cm. What is the total length of the black lines used to draw the figure?
problem

Some(?) of the Parts

Age

14 to 16

Challenge level

2 out of 3

A circle touches the lines OA, OB and AB where OA and OB are perpendicular. Show that the diameter of the circle is equal to the perimeter of the triangle
problem

Contact

Age

14 to 16

Challenge level

2 out of 3

A circular plate rolls in contact with the sides of a rectangular tray. How much of its circumference comes into contact with the sides of the tray when it rolls around one circuit?