Explaining, convincing and proving

  • Trig Rules OK
    problem

    Trig Rules OK

    Age
    16 to 18
    Challenge level
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    Change the squares in this diagram and spot the property that stays the same for the triangles. Explain...

  • t for Tan
    problem
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    T for Tan

    Age
    16 to 18
    Challenge level
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    Can you find a way to prove the trig identities using a diagram?

  • Stats statements
    problem
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    Stats Statements

    Age
    16 to 18
    Challenge level
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    Are these statistical statements sometimes, always or never true? Or it is impossible to say?

  • Contrary Logic
    problem
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    Contrary Logic

    Age
    16 to 18
    Challenge level
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    Can you invert the logic to prove these statements?
  • Direct logic
    problem
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    Direct Logic

    Age
    16 to 18
    Challenge level
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    Can you work through these direct proofs, using our interactive proof sorters?

  • NOTty logic
    problem

    NOTty Logic

    Age
    16 to 18
    Challenge level
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    Have a go at being mathematically negative, by negating these statements.

  • Integration matcher
    problem

    Integration Matcher

    Age
    16 to 18
    Challenge level
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    Can you match the charts of these functions to the charts of their integrals?

  • Prime sequences
    problem

    Prime Sequences

    Age
    16 to 18
    Challenge level
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    This group tasks allows you to search for arithmetic progressions in the prime numbers. How many of the challenges will you discover for yourself?
  • Dangerous driver?
    problem
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    Dangerous Driver?

    Age
    16 to 18
    Challenge level
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    Was it possible that this dangerous driving penalty was issued in error?