 
Working systematically
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 problem problemCan they be equal?Can you find rectangles where the value of the area is the same as the value of the perimeter? 
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 problem problemChanging areas, changing perimetersHow can you change the area of a shape but keep its perimeter the same? How can you change the perimeter but keep the area the same? 
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 problem problemNumber pyramidsTry entering different sets of numbers in the number pyramids. How does the total at the top change? 
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 problem problemCrazy cannonsTwo cannons are fired at one another and the cannonballs collide... what can you deduce? 
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 problem problemJunior frogsHave a go at this well-known challenge. Can you swap the frogs and toads in as few slides and jumps as possible?
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 problem problemOrder the changesCan you order pictures of the development of a frog from frogspawn and of a bean seed growing into a plant?
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 problem problemSeeing squaresPlayers 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 square. 
