![Mixing Paints](/sites/default/files/styles/medium/public/thumbnails/content-id-4793-icon.png?itok=S18g7PDu)
Visualising and representing
![Mixing Paints](/sites/default/files/styles/medium/public/thumbnails/content-id-4793-icon.png?itok=S18g7PDu)
![Same Length Trains](/sites/default/files/styles/medium/public/thumbnails/content-id-4332-icon.png?itok=rMNg0K3s)
problem
Same Length Trains
How many trains can you make which are the same length as Matt's and Katie's, using rods that are identical?
![Odds and Evens](/sites/default/files/styles/medium/public/thumbnails/content-id-4308-icon.png?itok=KWAy0vs5)
![Stringy Quads](/sites/default/files/styles/medium/public/thumbnails/content-id-2913-icon.png?itok=Qui2Dqz_)
problem
Stringy Quads
This practical problem challenges you to make quadrilaterals with a loop of string. You'll need some friends to help!
![Keep Your Distance](/sites/default/files/styles/medium/public/thumbnails/content-id-2911-icon.png?itok=r2waLKZz)
problem
Keep Your Distance
Can you mark 4 points on a flat surface so that there are only two
different distances between them?
![Bishop's Paradise](/sites/default/files/styles/medium/public/thumbnails/content-id-2903-icon.png?itok=HXEaq3eJ)
problem
Bishop's Paradise
Weekly Problem 37 - 2013
Which of the statements about diagonals of polygons is false?
Which of the statements about diagonals of polygons is false?
![Turning N Over](/sites/default/files/styles/medium/public/thumbnails/content-id-2870-icon.png?itok=U3-wunwg)
problem
Turning N Over
A card with the letter N on it is rotated through two different axes. What does the card look like at the end?
![Nine-Pin Triangles](/sites/default/files/styles/medium/public/thumbnails/content-id-2852-icon.png?itok=Ab8Twm9e)
problem
Nine-Pin Triangles
How many different triangles can you make on a circular pegboard that has nine pegs?
![Cubes within Cubes revisited](/sites/default/files/styles/medium/public/thumbnails/content-id-2824-icon.jpg?itok=1FpYm9jQ)
problem
Cubes within Cubes revisited
Imagine starting with one yellow cube and covering it all over with
a single layer of red cubes, and then covering that cube with a
layer of blue cubes. How many red and blue cubes would you need?
![Triangles within Pentagons](/sites/default/files/styles/medium/public/thumbnails/content-id-2736-icon.png?itok=PpsgNWnM)
problem
Triangles within Pentagons
Show that all pentagonal numbers are one third of a triangular number.