Being resourceful

  • Compare the Calculations
    problem
    Favourite

    Compare the calculations

    Age
    7 to 11
    Challenge level
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    Can you put these four calculations into order of difficulty? How did you decide?

  • Diagonally Square
    problem

    Diagonally square

    Age
    7 to 11
    Challenge level
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    Ayah conjectures that the diagonals of a square meet at right angles. Do you agree? How could you find out?

  • Digit Discovery
    problem

    Digit discovery

    Age
    7 to 11
    Challenge level
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    Here is an interesting property about two sets of digits. Can you work out what the digits might be?

  • Fraction Lengths
    problem

    Fraction lengths

    Age
    7 to 11
    Challenge level
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    Can you find combinations of strips of paper which equal the length of the black strip? If the length of the black is 1, how could you write the sum of the strips?

  • Price Match
    problem
    Favourite

    Price match

    Age
    7 to 11
    Challenge level
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    Can you find pairs of differently sized windows that cost the same?

  • problem
    Favourite

    Round and round the circle

    Age
    7 to 11
    Challenge level
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    What happens if you join every second point on this circle? How about every third point? Try with different steps and see if you can predict what will happen.

  • Making Boxes
    problem
    Favourite

    Making boxes

    Age
    7 to 11
    Challenge level
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    Cut differently-sized square corners from a square piece of paper to make boxes without lids. Do they all have the same volume?

  • Making Cuboids
    problem
    Favourite

    Making cuboids

    Age
    7 to 11
    Challenge level
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    Let's say you can only use two different lengths - 2 units and 4 units. Using just these 2 lengths as the edges how many different cuboids can you make?

  • problem
    Favourite

    Wonky watches

    Age
    7 to 11
    Challenge level
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    Mandeep's watch loses two minutes every hour. Adam's watch gains one minute every hour. Can you work out what time they arrived at the airport?

  • Make 100
    problem
    Favourite

    Make 100

    Age
    7 to 11
    Challenge level
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    Find at least one way to put in some operation signs to make these digits come to 100.