2 out of 3
A game for 2 people. Take turns joining two dots, until your opponent is unable to move.
2 out of 3
See if you can anticipate successive 'generations' of the two animals shown here.
2 out of 3
Can you recreate these designs? What are the basic units? What movement is required between each unit? Some elegant use of procedures will help - variables not essential.
2 out of 3
Weekly Problem 36 - 2007
Find the length along the shortest path passing through certain points on the cube.
2 out of 3
Here's a neat trick you can do with an 11 by 11 square...
1 out of 3
Some puzzles requiring no knowledge of knot theory, just a careful inspection of the patterns. A glimpse of the classification of knots and a little about prime knots, crossing numbers and knot arithmetic.
1 out of 3
Investigate how networks can be used to solve a problem for the 18th Century inhabitants of Konigsberg.
1 out of 3
3 out of 3
Given the nets of 4 cubes with the faces coloured in 4 colours, build a tower so that on each vertical wall no colour is repeated.
1 out of 3
The picture illustrates the sum 1 + 2 + 3 + 4 = (4 × 5)/2. Prove the general formula for the sum of the first n natural numbers and the formula for the sum of the cubes of the first n natural numbers.
