Working systematically

  • 1 to 8
    problem

    1 to 8

    Age
    7 to 11
    Challenge level
    1 out of 3

    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
    1 out of 3
    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
    1 out of 3

    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
    1 out of 3

    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
    1 out of 3
    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
    1 out of 3

    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
    1 out of 3

    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
    1 out of 3

    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
    1 out of 3

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

  • Cubes Here and There
    problem

    Cubes Here and There

    Age
    7 to 11
    Challenge level
    1 out of 3

    How many shapes can you build from three red and two green cubes? Can you use what you've found out to predict the number for four red and two green?