Year 11 Being curious

  • Where to Land
    problem
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    Where to Land

    Age
    14 to 16
    Challenge level
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    Chris is enjoying a swim but needs to get back for lunch. How far along the bank should she land?

  • The Legacy
    problem
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    The Legacy

    Age
    14 to 16
    Challenge level
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    Your school has been left a million pounds in the will of an ex-pupil. What model of investment and spending would you use in order to ensure the best return on the money?

  • A question of scale
    problem
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    A Question of Scale

    Age
    14 to 16
    Challenge level
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    Use your skill and knowledge to place various scientific lengths in order of size. Can you judge the length of objects with sizes ranging from 1 Angstrom to 1 million km with no wrong attempts?

  • Partly Painted Cube
    problem
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    Partly Painted Cube

    Age
    14 to 16
    Challenge level
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    Jo made a cube from some smaller cubes, painted some of the faces of the large cube, and then took it apart again. 45 small cubes had no paint on them at all. How many small cubes did Jo use?

  • Same Number!
    problem
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    Same Number!

    Age
    14 to 16
    Challenge level
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    If everyone in your class picked a number from 1 to 225, do you think any two people would pick the same number?

  • Multiplication arithmagons
    problem
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    Multiplication Arithmagons

    Age
    14 to 16
    Challenge level
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    Can you find the values at the vertices when you know the values on the edges of these multiplication arithmagons?

  • Which list is which?
    problem
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    Which List Is Which?

    Age
    14 to 16
    Challenge level
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    Six samples were taken from two distributions but they got muddled up. Can you work out which list is which?

  • Odds and Evens made fair
    problem
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    Odds and Evens Made Fair

    Age
    14 to 16
    Challenge level
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    In this follow-up to the problem Odds and Evens, we invite you to analyse a probability situation in order to find the general solution for a fair game.

  • Difference of Two Squares
    problem
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    Difference of Two Squares

    Age
    14 to 16
    Challenge level
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    What is special about the difference between squares of numbers adjacent to multiples of three?

  • The square top of a red gift box with a bow.
    problem
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    Square Number Surprises

    Age
    14 to 16
    Challenge level
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    There are unexpected discoveries to be made about square numbers...