Dotty Grids
Treasure Hunt
Can you find a reliable strategy for choosing coordinates that will locate the treasure in the minimum number of guesses?
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?
Guess my Quad
How many questions do you need to identify my quadrilateral?
Completing Quadrilaterals
We started drawing some quadrilaterals - can you complete them?
Tilted Squares
It's easy to work out the areas of most squares that we meet, but what if they were tilted?
Route to Infinity
Can you describe this route to infinity? Where will the arrows take you next?
Coordinate Patterns
Charlie and Alison have been drawing patterns on coordinate grids. Can you picture where the patterns lead?
Opposite Vertices
Can you recreate squares and rhombuses if you are only given a side or a diagonal?
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?
Square It
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.
Beelines
Is there a relationship between the coordinates of the endpoints of a line and the number of grid squares it crosses?
Areas of Parallelograms
Can you find the area of a parallelogram defined by two vectors?
Pick's Theorem
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.
Doesn't Add Up
In this problem we are faced with an apparently easy area problem, but it has gone horribly wrong! What happened?
Vector Journeys
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?
3D Treasure HuntLive
Some treasure has been hidden in a three-dimensional grid! Can you work out a strategy to find it as efficiently as possible?