Regular polygons and circles

problem

First Forward Into Logo 2: Polygons

Age

7 to 16

Challenge level

1 out of 3

This is the second in a twelve part introduction to Logo for beginners. In this part you learn to draw polygons.
problem

First Forward Into Logo 4: Circles

Age

7 to 16

Challenge level

1 out of 3

Learn how to draw circles using Logo. Wait a minute! Are they really circles? If not what are they?
problem

Gibraltar Geometry

Age

11 to 14

Challenge level

1 out of 3

Take a look at the photos of tiles at a school in Gibraltar. What questions can you ask about them?
problem

Shogi Shapes

Age

11 to 14

Challenge level

1 out of 3

Shogi tiles can form interesting shapes and patterns... I wonder whether they fit together to make a ring?
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

Hex

Age

11 to 14

Challenge level

1 out of 3

Explain how the thirteen pieces making up the regular hexagon shown in the diagram can be re-assembled to form three smaller regular hexagons congruent to each other.
problem

Central Distance

Age

11 to 14

Challenge level

1 out of 3

Weekly Problem 1 - 2006
The diagram shows two circles enclosed in a rectangle. What is the distance between the centres of the circles?
problem

Square Bisection

Age

11 to 14

Challenge level

1 out of 3

Weekly Problem 8 - 2008
In how many ways can a square be cut in half using a single straight line cut?
problem

Cube Paths

Age

11 to 14

Challenge level

2 out of 3

Given a 2 by 2 by 2 skeletal cube with one route 'down' the cube. How many routes are there from A to B?
problem

Nonagon Angle

Age

11 to 14

Challenge level

2 out of 3

Weekly Problem 53 - 2012
ABCDEFGHI is a regular nine-sided polygon (called a 'nonagon' or 'enneagon'). What is the size of the angle FAE ?