Reasoning, convincing and proving

  • IFFY triangles
    problem

    IFFY triangles

    Age
    14 to 18
    Challenge level
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    Can you prove these triangle theorems both ways?

  • Digit Addition
    problem

    Digit addition

    Age
    5 to 11
    Challenge level
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    Try out this number trick. What happens with different starting numbers? What do you notice?

  • The Number Jumbler
    problem

    The Number Jumbler

    Age
    7 to 14
    Challenge level
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    The Number Jumbler can always work out your chosen symbol. Can you work out how?

  • Fruity Totals
    problem

    Fruity totals

    Age
    7 to 16
    Challenge level
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    In this interactivity each fruit has a hidden value. Can you deduce what each one is worth?

  • Triangle or No Triangle?
    problem

    Triangle or no triangle?

    Age
    5 to 7
    Challenge level
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    Here is a selection of different shapes. Can you work out which ones are triangles, and why?

  • Name That Triangle!
    problem

    Name that triangle!

    Age
    7 to 11
    Challenge level
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    Can you sketch triangles that fit in the cells in this grid? Which ones are impossible? How do you know?

  • Polygon Rings
    problem

    Polygon rings

    Age
    11 to 14
    Challenge level
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    Join pentagons together edge to edge. Will they form a ring?

  • Purposeful Paper Folding
    article

    Purposeful paper folding

    In this article for primary teachers, Fran describes her passion for paper folding as a springboard for mathematics.
  • Gabriel's Problem
    problem

    Gabriel's problem

    Age
    11 to 14
    Challenge level
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    Gabriel multiplied together some numbers and then erased them. Can you figure out where each number was?