![Turning Man](/sites/default/files/styles/medium/public/thumbnails/content-id-5560-icon.png?itok=n0JMA45-)
problem
Turning Man
Use the interactivity to find out how many quarter turns the man must rotate through to look like each of the pictures.
![Repeating Patterns](/sites/default/files/styles/medium/public/thumbnails/content-id-5944-icon.png?itok=7ybL8Ve9)
problem
Repeating Patterns
Try continuing these patterns made from triangles. Can you create your own repeating pattern?
![Poly Plug Rectangles](/sites/default/files/styles/medium/public/thumbnails/content-id-7511-icon.png?itok=jGv2RY6A)
problem
Poly Plug Rectangles
The computer has made a rectangle and will tell you the number of spots it uses in total. Can you find out where the rectangle is?
![Seeing Squares](/sites/default/files/styles/medium/public/thumbnails/content-id-13125-icon.png?itok=m3PNCjTu)
problem
Seeing Squares
Players take it in turns to choose a dot on the grid. The winner is the first to have four dots that can be joined to form a square.
![A Puzzling Cube](/sites/default/files/styles/medium/public/thumbnails/content-02-11-penta2-icon.gif?itok=u4U-S5fM)
problem
A Puzzling Cube
Here are the six faces of a cube - in no particular order. Here are three views of the cube. Can you deduce where the faces are in relation to each other and record them on the net of this cube?
![Square Corners](/sites/default/files/styles/medium/public/thumbnails/content-02-11-penta4-icon.gif?itok=9M-qCvJY)
problem
Square Corners
What is the greatest number of counters you can place on the grid below without four of them lying at the corners of a square?
![Treasure Hunt](/sites/default/files/styles/medium/public/thumbnails/content-id-6288-icon.jpg?itok=2AbCpMXX)
problem
Treasure Hunt
Can you find a reliable strategy for choosing coordinates that will locate the treasure in the minimum number of guesses?
![Sponge Sections](/sites/default/files/styles/medium/public/thumbnails/content-04-02-penta1-icon.png?itok=8Wv96SUX)
problem
Sponge Sections
You have been given three shapes made out of sponge: a sphere, a cylinder and a cone. Your challenge is to find out how to cut them to make different shapes for printing.
![Cut Nets](/sites/default/files/styles/medium/public/thumbnails/content-id-2315-icon.png?itok=HAR3dDr-)
problem
Cut Nets
Each of the nets of nine solid shapes has been cut into two pieces. Can you see which pieces go together?
![Eight hidden squares](/sites/default/files/styles/medium/public/thumbnails/content-id-6280-icon.png?itok=5Lk-UDhJ)
problem
Eight hidden squares
On the graph there are 28 marked points. These points all mark the vertices (corners) of eight hidden squares. Can you find the eight hidden squares?
![Baravelle](/sites/default/files/styles/medium/public/thumbnails/content-id-6522-icon.png?itok=5rH-k3Gk)