Working systematically

  • 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?

  • Number Daisy
    problem
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    Number Daisy

    Age
    11 to 14
    Challenge level
    1 out of 3

    Can you find six numbers to go in the daisy from which you can make all the numbers from 1 to a number bigger than 25?

  • Triangles in a Square
    problem
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    Triangles in a Square

    Age
    11 to 14
    Challenge level
    1 out of 3

    What are the possible areas of triangles drawn in a square?

  • Cryptarithms
    problem
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    Cryptarithms

    Age
    11 to 14
    Challenge level
    1 out of 3

    Can you crack these cryptarithms?

  • Add to 200
    problem
    Favourite

    Add to 200

    Age
    11 to 14
    Challenge level
    1 out of 3

    By selecting digits for an addition grid, what targets can you make?

  • Forwards Add Backwards
    problem
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    Forwards Add Backwards

    Age
    11 to 14
    Challenge level
    1 out of 3

    What happens when you add a three digit number to its reverse?