Year 8 Working systematically

Do you notice anything about the solutions when you add and/or subtract consecutive negative numbers?

Here is a machine with four coloured lights. Can you develop a strategy to work out the rules controlling each light?

Sequences of multiples keep cropping up...

What's the largest volume of box you can make from a square of paper?

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.

Four friends must cross a bridge. How can they all cross it in just 17 minutes?