Combinations
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problemMixed-Up Socks
Start 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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problemJumping Cricket
El 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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problemBriefcase Lock
My briefcase has a three-number combination lock, but I have forgotten the combination. I remember that there's a 3, a 5 and an 8. How many possible combinations are there to try? -
problemMrs Beeswax
In how many ways could Mrs Beeswax put ten coins into her three puddings so that each pudding ended up with at least two coins?
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problemNineteen Hexagons
In this maze of hexagons, you start in the centre at 0. The next hexagon must be a multiple of 2 and the next a multiple of 5. What are the possible paths you could take? -
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problemHere to There 1 2 3
Move from the START to the FINISH by moving across or down to the next square. Can you find a route to make these totals?
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problemTwo and One
Terry and Ali are playing a game with three balls. Is it fair that Terry wins when the middle ball is red?
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problemFour-Triangle Arrangements
How many different shapes can you make by putting four right- angled isosceles triangles together?