Angles - points, lines and parallel lines

problem
LOGO challenge 1 - star square

Age

7 to 16

Challenge level

Can you use LOGO to create this star pattern made from squares. Only basic LOGO knowledge needed.
problem
LOGO challenge 8 - rhombi

Age

7 to 16

Challenge level

Explore patterns based on a rhombus. How can you enlarge the pattern - or explode it?
problem
LOGO challenge 7 - more stars and squares

Age

11 to 16

Challenge level

Can you use LOGO to create a systematic reproduction of a basic design? An introduction to variables in a familiar setting.
problem
Isosceles meld

Age

11 to 14

Challenge level

Weekly Problem 9 - 2012
What is the angle QPT in this diagram?
problem
Octa-flower

Age

16 to 18

Challenge level

Join some regular octahedra, face touching face and one vertex of each meeting at a point. How many octahedra can you fit around this point?
problem
Angular reflection

Age

11 to 14

Challenge level

Weekly Problem 28 - 2013
Two lines meet at a point. Another line through this point is reflected in both of these lines. What is the angle between the image lines?
problem
Pegboard quads

Age

14 to 16

Challenge level

Make different quadrilaterals on a nine-point pegboard, and work out their angles. What do you notice?
problem
Three tears

Age

14 to 16

Challenge level

Construct this design using only compasses
problem
Robo-turn

Age

11 to 14

Challenge level

Weekly Problem 16 - 2007
Can you figure out how far the robot has travelled by the time it is first facing due East?
problem
Half past two

Age

11 to 14

Challenge level

Weekly Problem 21 - 2009
What is the angle between the two hands of a clock at 2.30?