Explaining, convincing and proving

  • 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

    Dangerous driver?

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

  • Model solutions
    problem

    Model solutions

    Age
    16 to 18
    Challenge level
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    How do these modelling assumption affect the solutions?
  • Trig identity
    problem

    Trig identity

    Age
    16 to 18
    Challenge level
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    In this short challenge, can you use angle properties in a circle to figure out some trig identities?

  • Unit interval
    problem

    Unit interval

    Age
    16 to 18
    Challenge level
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    Can you prove our inequality holds for all values of x and y between 0 and 1?

  • Gradient match
    problem

    Gradient match

    Age
    16 to 18
    Challenge level
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    What can you deduce about the gradients of curves linking (0,0), (8,8) and (4,6)?

  • Turning to calculus
    problem

    Turning to calculus

    Age
    16 to 18
    Challenge level
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    Get started with calculus by exploring the connections between the sign of a curve and the sign of its gradient.

  • Inner equality
    problem

    Inner equality

    Age
    16 to 18
    Challenge level
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    Can you solve this inequalities challenge?