Working systematically

  • Multicoloured socks lying next to each other.
    problem

    Mixed-Up Socks

    Age
    5 to 7
    Challenge level

    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?

  • A cricket on a leaf.
    problem

    Jumping Cricket

    Age
    5 to 7
    Challenge level

    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?

  • Yellow, green, purple and blue plastic bears in a line.
    problem

    Teddy Bear Line-Up

    Age
    5 to 7
    Challenge level

    What 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?

  • Briefcase Lock
    problem

    Briefcase Lock

    Age
    5 to 7
    Challenge level
    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?
  • Whose Sandwich?
    problem

    Whose Sandwich?

    Age
    5 to 7
    Challenge level
    Chandra, Jane, Terry and Harry ordered their lunches from the sandwich shop. Use the information below to find out who ordered each sandwich.
  • Mrs Beeswax
    problem

    Mrs Beeswax

    Age
    5 to 7
    Challenge level

    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?

  • Routes 1 and 5
    problem

    Routes 1 and 5

    Age
    5 to 7
    Challenge level

    Find your way through the grid starting at 2 and following these operations. What number do you end on?

  • Nineteen Hexagons
    problem

    Nineteen Hexagons

    Age
    5 to 7
    Challenge level
    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?
  • Late Again
    problem

    Late Again

    Age
    5 to 7
    Challenge level

    Moira is late for school. What is the shortest route she can take from the school gates to the entrance?

  • Name the Children
    problem

    Name the Children

    Age
    5 to 7
    Challenge level

    Can you find out in which order the children are standing in this line?

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