How far does it move?
Experiment with the interactivity of "rolling" regular polygons, and explore how the different positions of the dot affects the distance it travels at each stage.
Parallel lines
In the bag
Elevenses
Reflecting lines
Translating lines
Cyclic quadrilaterals
Draw some quadrilaterals on a 9-point circle and work out the angles. Is there a theorem?
Growing surprises
Diamond collector
Collect as many diamonds as you can by drawing three straight lines.
Days and dates
What's it worth?
There are lots of different methods to find out what the shapes are worth - how many can you find?
Largest product
Cinema problem
A cinema has 100 seats. How can ticket sales make £100 for these different combinations of ticket prices?
Special numbers
My two digit number is special because adding the sum of its digits to the product of its digits gives me my original number. What could my number be?
Tilted squares
It's easy to work out the areas of most squares that we meet, but what if they were tilted?
Sending a parcel
Square coordinates
A tilted square is a square with no horizontal sides. Can you devise a general instruction for the construction of a square when you are given just one of its sides?
Mixing paints
Speeding up, slowing down
Experiment with the interactivity of "rolling" regular polygons, and explore how the different positions of the dot affects its speed at each stage.
Twisting and turning
Star polygons
Draw some stars and measure the angles at their points. Can you find and prove a result about their sum?
Terminating or not
Marbles in a box
Think of two numbers
Up and across
Experiment with the interactivity of "rolling" regular polygons, and explore how the different positions of the dot affects its vertical and horizontal movement at each stage.
How many miles to go?
Generating triples
Tree tops