Working systematically

  • A Shapely Network
    problem

    A Shapely Network

    Age
    7 to 11
    Challenge level

    Your challenge is to find the longest way through the network following this rule. You can start and finish anywhere, and with any shape, as long as you follow the correct order.

  • 1 to 8
    problem

    1 to 8

    Age
    7 to 11
    Challenge level

    Place the numbers 1 to 8 in the circles so that no consecutive numbers are joined by a line.

  • Chocs, Mints, Jellies
    problem

    Chocs, Mints, Jellies

    Age
    7 to 11
    Challenge level
    In a bowl there are 4 Chocolates, 3 Jellies and 5 Mints. Find a way to share the sweets between the three children so they each get the kind they like. Is there more than one way to do it?
  • Ancient Runes
    problem

    Ancient Runes

    Age
    7 to 11
    Challenge level

    The Vikings communicated in writing by making simple scratches on wood or stones called runes. Can you work out how their code works using the table of the alphabet?

  • Paw Prints
    problem

    Paw Prints

    Age
    7 to 11
    Challenge level

    A dog is looking for a good place to bury his bone. Can you work out where he started and ended in each case? What possible routes could he have taken?

  • Polo Square
    problem

    Polo Square

    Age
    7 to 11
    Challenge level
    Arrange eight of the numbers between 1 and 9 in the Polo Square below so that each side adds to the same total.
  • Arrangements
    problem

    Arrangements

    Age
    7 to 11
    Challenge level

    Is it possible to place 2 counters on the 3 by 3 grid so that there is an even number of counters in every row and every column? How about if you have 3 counters or 4 counters or....?

  • One to Fifteen
    problem

    One to Fifteen

    Age
    7 to 11
    Challenge level

    Can you put the numbers from 1 to 15 on the circles so that no consecutive numbers lie anywhere along a continuous straight line?

  • Putting Two and Two Together
    problem

    Putting Two and Two Together

    Age
    7 to 11
    Challenge level

    In how many ways can you fit two of these yellow triangles together? Can you predict the number of ways two blue triangles can be fitted together?

  • tiling
    problem

    Tiling

    Age
    7 to 11
    Challenge level

    An investigation that gives you the opportunity to make and justify predictions.

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