Estimating and approximating

  • The Fastest Cyclist
    problem

    The Fastest Cyclist

    Age
    14 to 16
    Challenge level
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    Andy is desperate to reach John o'Groats first. Can you devise a winning race plan?

  • Approximately certain
    problem

    Approximately Certain

    Age
    14 to 18
    Challenge level
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    Estimate these curious quantities sufficiently accurately that you can rank them in order of size
  • Archimedes Numerical Roots
    problem

    Archimedes Numerical Roots

    Age
    16 to 18
    Challenge level
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    How did Archimedes calculate the lengths of the sides of the polygons which needed him to be able to calculate square roots?

  • What do functions do for tiny x?
    problem

    What Do Functions Do for Tiny X?

    Age
    16 to 18
    Challenge level
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    Looking at small values of functions. Motivating the existence of the Maclaurin expansion.

  • Cobalt decay
    problem

    Cobalt Decay

    Age
    16 to 18
    Challenge level
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    Investigate the effects of the half-lifes of the isotopes of cobalt on the mass of a mystery lump of the element.
  • Building Patterns
    page

    Building Patterns

    Can you deduce the pattern that has been used to lay out these bottle tops?
  • Let's Get Flexible!
    article

    Let's Get Flexible!

    In this article for primary teachers, Ems outlines how we can encourage learners to be flexible in their approach to calculation, and why this is crucial.