Angles in polygons

problem
Right angled octagon

Age

11 to 14

Challenge level

Weekly Problem 38 - 2008
A quadrilateral can have four right angles. What is the largest number of right angles an octagon can have?
problem
Road maker 2

Age

16 to 18

Challenge level

Can you work out where the blue-and-red brick roads end?
problem
Angle to chord

Age

14 to 16

Challenge level

Weekly Problem 23 - 2008
A triangle has been drawn inside this circle. Can you find the length of the chord it forms?
problem
U in a pentagon

Age

11 to 14

Challenge level

Weekly Problem 18 - 2008
The diagram shows a regular pentagon. Can you work out the size of the marked angle?
problem
Hexapentagon

Age

11 to 14

Challenge level

Weekly Problem 53 - 2007
The diagram shows a regular pentagon and regular hexagon which overlap. What is the value of x?
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
Polygon cradle

Age

11 to 14

Challenge level

Weekly Problem 18 - 2007
A regular pentagon together with three sides of a regular hexagon form a cradle. What is the size of one of the angles?
problem
LOGO challenge 4 - squares to procedures

Age

11 to 16

Challenge level

This LOGO Challenge emphasises the idea of breaking down a problem into smaller manageable parts. Working on squares and angles.
problem
LOGO challenge 3 - star square

Age

7 to 16

Challenge level

Creating designs with squares - using the REPEAT command in LOGO. This requires some careful thought on angles
problem
First forward into Logo 9: stars

Age

11 to 18

Challenge level

Turn through bigger angles and draw stars with Logo.