Working systematically

  • Can you Make 100?
    problem
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    Can You Make 100?

    Age
    11 to 14
    Challenge level
    1 out of 3

    How many ways can you find to put in operation signs (+, −, ×, ÷) to make 100?

  • Shape Products
    problem
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    Shape Products

    Age
    11 to 14
    Challenge level
    1 out of 3

    These eleven shapes each stand for a different number. Can you use the multiplication sums to work out what they are?

  • Number Pyramids
    problem
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    Number Pyramids

    Age
    11 to 14
    Challenge level
    1 out of 3

    Try entering different sets of numbers in the number pyramids. How does the total at the top change?

  • Changing areas, changing perimeters
    problem
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    Changing Areas, Changing Perimeters

    Age
    11 to 14
    Challenge level
    1 out of 3

    How can you change the area of a shape but keep its perimeter the same? How can you change the perimeter but keep the area the same?

  • Two white rectangles on a wooden background, arranged like an equals sign.
    problem
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    Can They Be Equal?

    Age
    11 to 14
    Challenge level
    1 out of 3

    Can you find rectangles where the value of the area is the same as the value of the perimeter?

  • Summing Consecutive Numbers
    problem
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    Summing Consecutive Numbers

    Age
    11 to 14
    Challenge level
    1 out of 3

    15 = 7 + 8 and 10 = 1 + 2 + 3 + 4. Can you say which numbers can be expressed as the sum of two or more consecutive integers?

  • Magic Letters
    problem
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    Magic Letters

    Age
    11 to 14
    Challenge level
    1 out of 3

    Charlie has made a Magic V. Can you use his example to make some more? And how about Magic Ls, Ns and Ws?

  • Hidden Squares
    problem
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    Hidden Squares

    Age
    11 to 14
    Challenge level
    1 out of 3

    Can you find the squares hidden on these coordinate grids?

  • Perimeter Possibilities
    problem
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    Perimeter Possibilities

    Age
    11 to 14
    Challenge level
    1 out of 3

    I'm thinking of a rectangle with an area of 24. What could its perimeter be?

  • Fence it
    problem
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    Fence It

    Age
    11 to 14
    Challenge level
    1 out of 3

    If you have only 40 metres of fencing available, what is the maximum area of land you can fence off?