Can you find a reliable strategy for choosing coordinates that will locate the treasure in the minimum number of guesses?
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?
How many questions do you need to identify my quadrilateral?
We started drawing some quadrilaterals - can you complete them?
It's easy to work out the areas of most squares that we meet, but what if they were tilted?
Can you recreate squares and rhombuses if you are only given a side or a diagonal?
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?
Can you describe this route to infinity? Where will the arrows take you next?
Charlie and Alison have been drawing patterns on coordinate grids. Can you picture where the patterns lead?
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.
Is there a relationship between the coordinates of the endpoints of a line and the number of grid squares it crosses?
In this problem we are faced with an apparently easy area problem, but it has gone horribly wrong! What happened?
Can you find the area of a parallelogram defined by two vectors?
Polygons drawn on square dotty paper have dots on their perimeter (p) and often internal (i) ones as well. Find a relationship between p, i and the area of the polygons.
Charlie likes to go for walks around a square park, while Alison likes to cut across diagonally. Can you find relationships between the vectors they walk along?
Some treasure has been hidden in a three-dimensional grid! Can you work out a strategy to find it as efficiently as possible?