Rhombus 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 rhombus.
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 rhombus.
Imagine a very strange bank account where you are only allowed to do two things...
Jack has nine tiles. He put them together to make a square so that two tiles of the same colour were not beside each other. Can you find another way to do it?
Take 5 cubes of one colour and 2 of another colour. How many different ways can you join them if the 5 must touch the table and the 2 must not touch the table?
Find at least one way to put in some operation signs to make these digits come to 100.
Can you prove that in every tetrahedron there is a vertex where the three edges meeting at that vertex have lengths which could be the sides of a triangle?
Experiment with the interactivity of "rolling" regular polygons, and explore how the different positions of the dot affects its vertical and horizontal movement at each stage.
Explore when it is possible to construct a circle which just touches all four sides of a quadrilateral.
A napkin is folded so that a corner coincides with the midpoint of an opposite edge. Investigate the three triangles formed.
The farmers want to redraw their field boundary but keep the area the same. Can you advise them?