Coordinates

There are 53 NRICH Mathematical resources connected to Coordinates
Square coordinates
problem
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Square coordinates

Age
11 to 14
Challenge level
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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?

Cubestick
problem
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Cubestick

Age
16 to 18
Challenge level
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Stick some cubes together to make a cuboid. Find two of the angles by as many different methods as you can devise.
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.
Route to infinity
problem
Favourite

Route to infinity

Age
11 to 14
Challenge level
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Can you describe this route to infinity? Where will the arrows take you next?
Ladder and Cube
problem
Favourite

Ladder and cube

Age
14 to 16
Challenge level
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A 1 metre cube has one face on the ground and one face against a wall. A 4 metre ladder leans against the wall and just touches the cube. How high is the top of the ladder above the ground?
Polar Bearings
problem

Polar bearings

Age
16 to 18
Challenge level
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What on earth are polar coordinates, and why would you want to use them?
Cushion Ball
problem

Cushion ball

Age
16 to 18
Challenge level
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The shortest path between any two points on a snooker table is the straight line between them but what if the ball must bounce off one wall, or 2 walls, or 3 walls?
Napoleon's Hat
problem

Napoleon's hat

Age
16 to 18
Challenge level
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Three equilateral triangles ABC, AYX and XZB are drawn with the point X a moveable point on AB. The points P, Q and R are the centres of the three triangles. What can you say about triangle PQR?

Mesh
problem

Mesh

Age
16 to 18
Challenge level
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A spherical balloon lies inside a wire frame. How much do you need to deflate it to remove it from the frame if it remains a sphere?
Plane to See
problem

Plane to see

Age
16 to 18
Challenge level
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P is the midpoint of an edge of a cube and Q divides another edge in the ratio 1 to 4. Find the ratio of the volumes of the two pieces of the cube cut by a plane through PQ and a vertex.