Explaining, convincing and proving

  • LCM Sudoku
    problem
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    LCM Sudoku

    Age
    14 to 16
    Challenge level
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    Here is a Sudoku with a difference! Use information about lowest common multiples to help you solve it.

  • Partly Circles
    problem
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    Partly Circles

    Age
    14 to 16
    Challenge level
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    What is the same and what is different about these circle questions? What connections can you make?

  • Square LCM
    problem

    Square LCM

    Age
    14 to 16
    Challenge level
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    Using the hcf and lcf of the numerators, can you deduce which of these fractions are square numbers?

  • Close to triangular
    problem

    Close to Triangular

    Age
    14 to 16
    Challenge level
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    Drawing a triangle is not always as easy as you might think!
  • Geometric Parabola
    problem

    Geometric Parabola

    Age
    14 to 16
    Challenge level
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    Explore what happens when you draw graphs of quadratic equations with coefficients based on a geometric sequence.
  • Fit for photocopying
    problem
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    Fit for Photocopying

    Age
    14 to 16
    Challenge level
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    Explore the relationships between different paper sizes.

  • Difference Sudoku
    problem
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    Difference Sudoku

    Age
    14 to 16
    Challenge level
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    Use the differences to find the solution to this Sudoku.

  • Picturing Pythagorean Triples
    article

    Picturing Pythagorean Triples

    This article discusses how every Pythagorean triple (a, b, c) can be illustrated by a square and an L shape within another square. You are invited to find some triples for yourself.

  • Magic Squares II
    article

    Magic Squares II

    An article which gives an account of some properties of magic squares.

  • Mega Quadratic Equations
    problem
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    Mega Quadratic Equations

    Age
    14 to 18
    Challenge level
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    What do you get when you raise a quadratic to the power of a quadratic?