Angles in polygons

There are 72 NRICH Mathematical resources connected to Angles in polygons
Right Angled Octagon
problem

Right Angled Octagon

Age
11 to 14
Challenge level
filled star filled star empty star
Weekly Problem 38 - 2008
A quadrilateral can have four right angles. What is the largest number of right angles an octagon can have?
Road maker 2
problem

Road maker 2

Age
16 to 18
Challenge level
filled star filled star filled star
Can you work out where the blue-and-red brick roads end?
Angle to Chord
problem

Angle to Chord

Age
14 to 16
Challenge level
filled star filled star empty star
Weekly Problem 23 - 2008
A triangle has been drawn inside this circle. Can you find the length of the chord it forms?
U in a Pentagon
problem

U in a Pentagon

Age
11 to 14
Challenge level
filled star filled star empty star
Weekly Problem 18 - 2008
The diagram shows a regular pentagon. Can you work out the size of the marked angle?
Hexapentagon
problem

Hexapentagon

Age
11 to 14
Challenge level
filled star filled star empty star
Weekly Problem 53 - 2007
The diagram shows a regular pentagon and regular hexagon which overlap. What is the value of x?
Trapezium Arch
problem

Trapezium Arch

Age
11 to 14
Challenge level
filled star filled star filled star
Weekly Problem 27 - 2007
Ten stones form an arch. What is the size of the smallest angles of the trapezoidal stones?
Polygon Cradle
problem

Polygon Cradle

Age
11 to 14
Challenge level
filled star empty star empty star
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?
LOGO Challenge 4 - Squares to Procedures
problem

LOGO Challenge 4 - Squares to Procedures

Age
11 to 16
Challenge level
filled star empty star empty star
This LOGO Challenge emphasises the idea of breaking down a problem into smaller manageable parts. Working on squares and angles.
Logo Challenge 3 - Star Square
problem

Logo Challenge 3 - Star Square

Age
7 to 16
Challenge level
filled star empty star empty star
Creating designs with squares - using the REPEAT command in LOGO. This requires some careful thought on angles