You may also like

problem icon

Pebbles

Place four pebbles on the sand in the form of a square. Keep adding as few pebbles as necessary to double the area. How many extra pebbles are added each time?

problem icon

Adding All Nine

Make a set of numbers that use all the digits from 1 to 9, once and once only. Add them up. The result is divisible by 9. Add each of the digits in the new number. What is their sum? Now try some other possibilities for yourself!

problem icon

N000ughty Thoughts

How many noughts are at the end of these giant numbers?

Robotic Rotations

Age 11 to 16 Challenge Level:

Here is an interactivity that allows you to create rotation patterns.
Move the blue dots to create a shape and use the slider to choose an angle of rotation.




Once you've explored the interactivity, take a look at the patterns below and see if you can recreate them. If you like, you can print out the patterns.

        

How did you work out which angle to rotate by each time?




To make this picture, Charlie drew a kite and then told the robot to rotate it through an angle of $144^{\circ}$.
Alison used an angle of $216^{\circ}$ and got exactly the same pattern!

What other angles could they have used?
Can the other patterns be made using more than one angle?



What is the link between the angle and the number of copies of the image in the pattern?