 
Working systematically
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 problemHow many rectangles can you find in this shape? Which ones are differently sized and which are 'similar'? problemHow many rectangles can you find in this shape? Which ones are differently sized and which are 'similar'?
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 problem problemX is 5 squaresCan you arrange 5 different digits (from 0 - 9) in the cross in the way described?
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 problem problemTeddy bear line-upWhat is the least number of moves you can take to rearrange the bears so that no bear is next to a bear of the same colour?
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 problem problemBuying a balloonLolla bought a balloon at the circus. She gave the clown six coins to pay for it. What could Lolla have paid for the balloon? 
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 problem problemA city of towersIn this town, houses are built with one room for each person. There are some families of seven people living in the town. In how many different ways can they build their houses? 
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 problem problemThree way mix upJack has nine tiles. He put them together to make a square so that two tiles of the same colour were not beside each other. Can you find another way to do it? 
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 problem problemJumping cricketEl Crico the cricket has to cross a square patio to get home. He can jump the length of one tile, two tiles and three tiles. Can you find a path that would get El Crico home in three jumps?
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 problem problemMixed-up socksStart with three pairs of socks. Now mix them up so that no mismatched pair is the same as another mismatched pair. Is there more than one way to do it? 
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 problem problemThree by threeArrange 3 red, 3 blue and 3 yellow counters into a three-by-three square grid, so that there is only one of each colour in every row and every column
