Rotations

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

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.
So it's times!
problem
Favourite

So it's times!

Age
7 to 14
Challenge level
filled star filled star filled star

How will you decide which way of flipping over and/or turning the grid will give you the highest total?

Poly Plug Pattern
problem
Favourite

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?

Attractive Tablecloths
problem
Favourite

Attractive tablecloths

Age
14 to 16
Challenge level
filled star filled star empty star
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?
Attractive rotations
problem
Favourite

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...
Shady Symmetry
problem
Favourite

Shady symmetry

Age
11 to 14
Challenge level
filled star empty star empty star
How many different symmetrical shapes can you make by shading triangles or squares?
...on the wall
problem
Favourite

...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.
Happy Halving
problem
Favourite

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?

Turning Man
problem
Favourite

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.
John's train is on time
problem
Favourite

John's train is on time

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