Coordinates

There are 53 NRICH Mathematical resources connected to Coordinates

problem

Favourite

Beelines

Age

14 to 16

Challenge level

Is there a relationship between the coordinates of the endpoints of a line and the number of grid squares it crosses?

problem

Favourite

Hidden squares

Age

11 to 14

Challenge level

Can you find the squares hidden on these coordinate grids?

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Favourite

Parabella

Age

16 to 18

Challenge level

This is a beautiful result involving a parabola and parallels.

problem

Favourite

Ten hidden squares

Age

7 to 14

Challenge level

These points all mark the vertices (corners) of ten hidden squares. Can you find the 10 hidden squares?

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Favourite

Isosceles triangles

Age

11 to 14

Challenge level

Draw some isosceles triangles with an area of $9$cm$^2$ and a vertex at (20,20). If all the vertices must have whole number coordinates, how many is it possible to draw?

problem

Favourite

A cartesian puzzle

Age

7 to 11

Challenge level

Find the missing coordinates which will form these eight quadrilaterals. These coordinates themselves will then form a shape with rotational and line symmetry.

problem

Favourite

Square coordinates

Age

11 to 14

Challenge level

A tilted square is a square with no horizontal sides. Can you devise a general instruction for the construction of a square when you are given just one of its sides?

problem

Favourite

Cubestick

Age

16 to 18

Challenge level

Stick some cubes together to make a cuboid. Find two of the angles by as many different methods as you can devise.

problem

Favourite

Coordinate challenge

Age

7 to 11

Challenge level

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

problem

Favourite

Route to infinity

Age

11 to 14

Challenge level

Can you describe this route to infinity? Where will the arrows take you next?

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For younger learners

Coordinates

Beelines

Hidden squares

Parabella

Ten hidden squares

Isosceles triangles

A cartesian puzzle

Square coordinates

Cubestick

Coordinate challenge

Route to infinity