Rotations

There are 65 NRICH Mathematical resources connected to Rotations
National Flags
problem
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National flags

Age
7 to 11
Challenge level
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This problem explores the shapes and symmetries in some national flags.
So it's times!
problem
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So it's times!

Age
7 to 14
Challenge level
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How will you decide which way of flipping over and/or turning the grid will give you the highest total?

Poly Plug Pattern
problem
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Poly plug pattern

Age
5 to 7
Challenge level
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Create a pattern on the small grid. How could you extend your pattern on the larger grid?

Attractive Tablecloths
problem
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Attractive tablecloths

Age
14 to 16
Challenge level
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Charlie likes tablecloths that use as many colours as possible, but insists that his tablecloths have some symmetry. Can you work out how many colours he needs for different tablecloth designs?
Coordinate Challenge
problem
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Coordinate challenge

Age
7 to 11
Challenge level
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Use the clues about the symmetrical properties of these letters to place them on the grid.
Attractive rotations
problem
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Attractive rotations

Age
11 to 14
Challenge level
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Here is a chance to create some attractive images by rotating shapes through multiples of 90 degrees, or 30 degrees, or 72 degrees or...
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?
...on the wall
problem
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...on the wall

Age
11 to 14
Challenge level
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Explore the effect of reflecting in two intersecting mirror lines.
Happy Halving
problem
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Happy halving

Age
5 to 7
Challenge level
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Can you split each of the shapes below in half so that the two parts are exactly the same?

Turning Man
problem
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Turning man

Age
5 to 7
Challenge level
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Use the interactivity to find out how many quarter turns the man must rotate through to look like each of the pictures.