problem Favourite Beelines Age 14 to 16 Challenge level Is there a relationship between the coordinates of the endpoints of a line and the number of grid squares it crosses?
problem Favourite Hidden squares Age 11 to 14 Challenge level Can you find the squares hidden on these coordinate grids?
problem Favourite Coordinate challenge Age 7 to 11 Challenge level Use the clues about the symmetrical properties of these letters to place them on the grid.
problem Favourite Route to infinity Age 11 to 14 Challenge level Can you describe this route to infinity? Where will the arrows take you next?
problem Favourite Ladder and cube Age 14 to 16 Challenge level A 1 metre cube has one face on the ground and one face against a wall. A 4 metre ladder leans against the wall and just touches the cube. How high is the top of the ladder above the ground?
problem Favourite Coordinate patterns Age 11 to 14 Challenge level Charlie and Alison have been drawing patterns on coordinate grids. Can you picture where the patterns lead?
problem Favourite Eight hidden squares Age 7 to 14 Challenge level 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?
problem Favourite Treasure hunt Age 7 to 14 Challenge level Can you find a reliable strategy for choosing coordinates that will locate the treasure in the minimum number of guesses?
problem Favourite Attractive rotations Age 11 to 14 Challenge level Here is a chance to create some attractive images by rotating shapes through multiples of 90 degrees, or 30 degrees, or 72 degrees or...
problem Favourite Parabella Age 16 to 18 Challenge level This is a beautiful result involving a parabola and parallels.