Rotations

  • John's train is on time
    problem
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    John's Train Is on Time

    Age
    11 to 14
    Challenge level
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    A train leaves on time. After it has gone 8 miles (at 33mph) the driver looks at his watch and sees that the hour hand is exactly over the minute hand. When did the train leave the station?
  • Turning Man
    problem
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    Turning Man

    Age
    5 to 7
    Challenge level
    filled star empty star empty star

    Use the interactivity to find out how many quarter turns the man must rotate through to look like each of the pictures.

  • problem
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    Poly Plug Pattern

    Age
    5 to 7
    Challenge level
    filled star empty star empty star

    Create a pattern on the small grid. How could you extend your pattern on the larger grid?

  • Happy Halving
    problem
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    Happy Halving

    Age
    5 to 7
    Challenge level
    filled star filled star filled star

    Can you split each of the shapes below in half so that the two parts are exactly the same?

  • Coordinate Challenge
    problem
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    Coordinate Challenge

    Age
    7 to 11
    Challenge level
    filled star empty star empty star

    Use the clues about the symmetrical properties of these letters to place them on the grid.

  • National Flags
    problem
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    National Flags

    Age
    7 to 11
    Challenge level
    filled star empty star empty star

    This problem explores the shapes and symmetries in some national flags.

  • Shady Symmetry
    problem
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    Shady Symmetry

    Age
    11 to 14
    Challenge level
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    How many different symmetrical shapes can you make by shading triangles or squares?

  • Attractive rotations
    problem
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    Attractive Rotations

    Age
    11 to 14
    Challenge level
    filled star empty star empty star

    Here is a chance to create some attractive images by rotating shapes through multiples of 90 degrees, or 30 degrees, or 72 degrees or...

  • Transformation Game
    game
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    Transformation Game

    Age
    11 to 14
    Challenge level
    filled star filled star empty star

    Why not challenge a friend to play this transformation game?

  • ...on the wall
    problem
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    ...on the Wall

    Age
    11 to 14
    Challenge level
    filled star filled star empty star

    Explore the effect of reflecting in two intersecting mirror lines.