 
Working systematically
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 problem problemMore children and plantsThis challenge extends the Plants investigation so now four or more children are involved.
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 problem problemSumming consecutive numbers15 = 7 + 8 and 10 = 1 + 2 + 3 + 4. Can you say which numbers can be expressed as the sum of two or more consecutive integers? 
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 problem problemStadium sightlineHow would you design the tiering of seats in a stadium so that all spectators have a good view? 
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 problem problemA very shiny nose?This problem explores the biology behind Rudolph's glowing red nose, and introduces the real life phenomena of bacterial quorum sensing. 
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 problem problemNon-transitive diceAlison and Charlie are playing a game. Charlie wants to go first so Alison lets him. Was that such a good idea? 
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 problem problemFunction pyramidsA function pyramid is a structure where each entry in the pyramid is determined by the two entries below it. Can you figure out how the pyramid is generated? 
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 problem problemChanging areas, changing volumesHow can you change the surface area of a cuboid but keep its volume the same? How can you change the volume but keep the surface area the same? 
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 problem problemJumping squaresIn this problem it is not the squares that jump, you do the jumping! The idea is to go round the track in as few jumps as possible. 
