On the Edge
If you move the tiles around, can you make squares with different coloured edges?
If you move the tiles around, can you make squares with different coloured edges?
A game in which players take it in turns to turn up two cards. If they can draw a triangle which satisfies both properties they win the pair of cards. And a few challenging questions to follow...
A game in which players take it in turns to try to draw quadrilaterals (or triangles) with particular properties. Is it possible to fill the game grid?
A 2 by 3 rectangle contains 8 squares and a 3 by 4 rectangle contains 20 squares. What sizes of rectangle contain exactly 100 squares? Can you find them all?
Using your knowledge of the properties of numbers, can you fill all the squares on the board?
Different combinations of the weights available allow you to make different totals. Which totals can you make?
The Tower of Hanoi is an ancient mathematical challenge. Working on the building blocks may help you to explain the patterns you notice.
What's special about the area of quadrilaterals drawn in a square?
Can you find ways to put numbers in the overlaps so the rings have equal totals?
Is there a quick way to work out whether a fraction terminates or recurs when you write it as a decimal?