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In this maze there are numbers in each of the cells. You go through adding all the numbers that you pass. You may not go through any cell more than once.
Can you find a way through in which the numbers add to exactly 100?
What is the lowest number you can make going through the maze?
What is the highest number you can make going through the maze? (Remember you may not go through any cell more than once.)
Place four pebbles on the sand in the form of a square. Keep adding as few pebbles as necessary to double the area. How many extra pebbles are added each time?
Investigate the different shaped bracelets you could make from 18 different spherical beads. How do they compare if you use 24 beads?
How many different shaped boxes can you design for 36 sweets in one layer? Can you arrange the sweets so that no sweets of the same colour are next to each other in any direction?