Being resilient

  • Keep it simple
    problem
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    Keep It Simple

    Age
    11 to 14
    Challenge level
    1 out of 3

    Can all unit fractions be written as the sum of two unit fractions?

  • How steep is the slope?
    problem
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    How Steep Is the Slope?

    Age
    11 to 14
    Challenge level
    1 out of 3

    On the grid provided, we can draw lines with different gradients. How many different gradients can you find? Can you arrange them in order of steepness?

  • How much can we spend?
    problem
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    How Much Can We Spend?

    Age
    11 to 14
    Challenge level
    1 out of 3

    A country has decided to have just two different coins. Which totals can be made? Is there a largest total that cannot be made? How do you know?

  • Place your orders
    problem
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    Place Your Orders

    Age
    11 to 14
    Challenge level
    1 out of 3

    Can you rank these sets of quantities in order, from smallest to largest? Can you provide convincing evidence for your rankings?

  • 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?

  • 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?

  • 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
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    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?