1 out of 3
Can you work out how to make each side of this balance equally balanced? You can put more than one weight on a hook.
1 out of 3
How many different ways can you find of fitting five hexagons together? How will you know you have found all the ways?
1 out of 3
Can you find some examples when the number of Roman numerals is fewer than the number of Arabic numerals for the same number?
2 out of 3
10 graphs of experimental data are given. Can you use a spreadsheet to find algebraic graphs which match them closely, and thus discover the formulae most likely to govern the underlying processes?
3 out of 3
Use the interactivity to investigate what kinds of triangles can be drawn on peg boards with different numbers of pegs.
1 out of 3
Can you find ways of joining cubes together so that 28 faces are visible?
3 out of 3
What is the same and what is different about these circle questions? What connections can you make?
1 out of 3
Sara and Will were sorting some pictures of shapes on cards. "I'll collect the circles," said Sara. "I'll take the red ones," answered Will. Can you see any cards they would both want?
3 out of 3
Here are shadows of some 3D shapes. What shapes could have made them?
The Four Colour Conjecture was first stated just over 150 years ago, and finally proved conclusively in 1976. It is an outstanding example of how old ideas can be combined with new discoveries. prove a mathematical theorem.
