Working systematically

  • All seated
    problem

    All seated

    Age
    7 to 11
    Challenge level
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    Look carefully at the numbers. What do you notice? Can you make another square using the numbers 1 to 16, that displays the same properties?
  • Smith and Jones
    problem

    Smith and Jones

    Age
    14 to 16
    Challenge level
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    Mr Smith and Mr Jones are two maths teachers. By asking questions, the answers to which may be right or wrong, Mr Jones is able to find the number of the house Mr Smith lives in... Or not!

  • Ancient Runes
    problem

    Ancient runes

    Age
    7 to 11
    Challenge level
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    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?
  • A Mixed-up Clock
    problem

    A mixed-up clock

    Age
    7 to 11
    Challenge level
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    There is a clock-face where the numbers have become all mixed up. Can you find out where all the numbers have got to from these ten statements?

  • Fractional Triangles
    problem

    Fractional triangles

    Age
    7 to 11
    Challenge level
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    Use the lines on this figure to show how the square can be divided into 2 halves, 3 thirds, 6 sixths and 9 ninths.

  • Chocs, Mints, Jellies
    problem

    Chocs, mints, jellies

    Age
    7 to 11
    Challenge level
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    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?
  • Farey Sequences
    problem

    Farey sequences

    Age
    11 to 14
    Challenge level
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    There are lots of ideas to explore in these sequences of ordered fractions.
  • How Many Miles To Go?
    problem

    How many miles to go?

    Age
    11 to 14
    Challenge level
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    How many more miles must the car travel before the numbers on the milometer and the trip meter contain the same digits in the same order?
  • Adding Plus
    problem

    Adding plus

    Age
    7 to 11
    Challenge level
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    Can you put plus signs in so this is true? 1 2 3 4 5 6 7 8 9 = 99 How many ways can you do it?
  • A Square of Numbers
    problem

    A square of numbers

    Age
    7 to 11
    Challenge level
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    Can you put the numbers 1 to 8 into the circles so that the four calculations are correct?