Working systematically

  • Spread
    problem

    Spread

    Age
    16 to 18
    Challenge level

    Given the mean and standard deviation of a set of marks, what is the greatest number of candidates who could have scored 100%?

  • Towards Maclaurin
    problem

    Towards Maclaurin

    Age
    16 to 18
    Challenge level

    Build series for the sine and cosine functions by adding one term at a time, alternately making the approximation too big then too small but getting ever closer.

  • Stage 5 Cipher Challenge
    problem

    Stage 5 Cipher Challenge

    Age
    16 to 18
    Challenge level

    Can you crack these very difficult challenge ciphers? How might you systematise the cracking of unknown ciphers?

  • Interpolating polynomials
    problem

    Interpolating Polynomials

    Age
    16 to 18
    Challenge level

    Given a set of points (x,y) with distinct x values, find a polynomial that goes through all of them, then prove some results about the existence and uniqueness of these polynomials.

  • Latin Squares
    article

    Latin Squares

    A Latin square of order n is an array of n symbols in which each symbol occurs exactly once in each row and exactly once in each column.
  • Maths Trails
    article

    Maths Trails

    The NRICH team are always looking for new ways to engage teachers and pupils in problem solving. Here we explain the thinking behind maths trails.
  • Peg and Pin Boards
    article

    Peg and Pin Boards

    This article for teachers suggests activities based on pegboards, from pattern generation to finding all possible triangles, for example.

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