Being resourceful

  • Searching for mean(ing)
    problem

    Searching for mean(ing)

    Age
    11 to 16
    Challenge level
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    If you have a large supply of 3kg and 8kg weights, how many of each would you need for the average (mean) of the weights to be 6kg?

  • Two-digit targets
    problem

    Two-digit targets

    Age
    5 to 7
    Challenge level
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    You have a set of the digits from 0 to 9. Can you arrange these in the five boxes to make two-digit numbers as close to the targets as possible?

  • Curved square
    problem

    Curved square

    Age
    16 to 18
    Challenge level
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    Can you find the area of the central part of this shape? Can you do it in more than one way?

  • Treasure Hunt
    problem

    Treasure hunt

    Age
    7 to 14
    Challenge level
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    Can you find a reliable strategy for choosing coordinates that will locate the treasure in the minimum number of guesses?

  • Eight hidden squares
    problem

    Eight hidden squares

    Age
    7 to 14
    Challenge level
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    On the graph there are 28 marked points. These points all mark the vertices (corners) of eight hidden squares. Can you find the eight hidden squares?

  • Magic Vs
    problem

    Magic Vs

    Age
    7 to 11
    Challenge level
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    Can you put the numbers 1-5 in the V shape so that both 'arms' have the same total?

  • m, m and m
    problem

    M, M and M

    Age
    11 to 14
    Challenge level
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    If you are given the mean, median and mode of five positive whole numbers, can you find the numbers?

  • Find the Difference
    problem

    Find the difference

    Age
    5 to 7
    Challenge level
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    Place the numbers 1 to 6 in the circles so that each number is the difference between the two numbers just below it.

  • Stop the Clock
    problem

    Stop the clock

    Age
    5 to 7
    Challenge level
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    This is a game for two players. Can you find out how to be the first to get to 12 o'clock?