Comparing and Classifying

  • Nine-Pin Triangles
    problem
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    Nine-Pin Triangles

    Age
    7 to 11
    Challenge level
    1 out of 3

    How many different triangles can you make on a circular pegboard that has nine pegs?

  • Round a hexagon
    problem
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    Round a Hexagon

    Age
    7 to 11
    Challenge level
    1 out of 3

    This problem shows that the external angles of an irregular hexagon add to a circle.

  • Name That Triangle!
    problem
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    Name That Triangle!

    Age
    7 to 11
    Challenge level
    1 out of 3

    Can you sketch triangles that fit in the cells in this grid? Which ones are impossible? How do you know?

  • Diagonally Square
    problem
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    Diagonally Square

    Age
    7 to 11
    Challenge level
    1 out of 3

    Ayah conjectures that the diagonals of a square meet at right angles. Do you agree? How could you find out?

  • Seeing Parallelograms
    problem
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    Seeing Parallelograms

    Age
    7 to 11
    Challenge level
    1 out of 3

    Players take it in turns to choose a dot on the grid. The winner is the first to have four dots that can be joined to form a parallelogram.

  • Egyptian Rope
    problem
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    Egyptian Rope

    Age
    7 to 11
    Challenge level
    2 out of 3

    The ancient Egyptians were said to make right-angled triangles using a rope with twelve equal sections divided by knots. What other triangles could you make if you had a rope like this?

  • Shapes on the Playground
    problem
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    Shapes on the Playground

    Age
    7 to 11
    Challenge level
    2 out of 3

    Sally and Ben were drawing shapes in chalk on the school playground. Can you work out what shapes each of them drew using the clues?

  • Quad match
    problem
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    Quad Match

    Age
    7 to 11
    Challenge level
    2 out of 3

    A task which depends on members of the group noticing the needs of others and responding.

  • Seeing Rhombuses
    problem
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    Seeing Rhombuses

    Age
    7 to 11
    Challenge level
    2 out of 3

    Players take it in turns to choose a dot on the grid. The winner is the first to have four dots that can be joined to form a rhombus.

  • problem
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    Cut It Out

    Age
    7 to 11
    Challenge level
    3 out of 3

    Can you dissect an equilateral triangle into 6 smaller ones? What number of smaller equilateral triangles is it NOT possible to dissect a larger equilateral triangle into?