Visualising and representing

There are 544 NRICH Mathematical resources connected to Visualising and representing
Coloured Edges
problem

Coloured Edges

Age
11 to 14
Challenge level
filled star empty star empty star
The whole set of tiles is used to make a square. This has a green and blue border. There are no green or blue tiles anywhere in the square except on this border. How many tiles are there in the set?
Square Corners
problem

Square Corners

Age
7 to 11
Challenge level
filled star empty star empty star
What is the greatest number of counters you can place on the grid below without four of them lying at the corners of a square?
A Puzzling Cube
problem

A Puzzling Cube

Age
7 to 11
Challenge level
filled star empty star empty star
Here are the six faces of a cube - in no particular order. Here are three views of the cube. Can you deduce where the faces are in relation to each other and record them on the net of this cube?
Reach 100
problem

Reach 100

Age
7 to 11
Challenge level
filled star filled star empty star
Choose four different digits from 1-9 and put one in each box so that the resulting four two-digit numbers add to a total of 100.
Trace the Edges
problem

Trace the Edges

Age
7 to 11
Challenge level
filled star filled star empty star
On which of these shapes can you trace a path along all of its edges, without going over any edge twice?
Routes 1 and 5
problem

Routes 1 and 5

Age
5 to 7
Challenge level
filled star filled star empty star
Find your way through the grid starting at 2 and following these operations. What number do you end on?
A Flying Holiday
problem

A Flying Holiday

Age
7 to 11
Challenge level
filled star empty star empty star
Follow the journey taken by this bird and let us know for how long and in what direction it must fly to return to its starting point.
Super Shapes
problem

Super Shapes

Age
7 to 11
Challenge level
filled star empty star empty star
The value of the circle changes in each of the following problems. Can you discover its value in each problem?
Six to Four
problem

Six to Four

Age
5 to 7
Challenge level
filled star filled star empty star
Move four sticks so there are exactly four triangles.
Waiting for Blast Off
problem

Waiting for Blast Off

Age
7 to 11
Challenge level
filled star filled star filled star
10 space travellers are waiting to board their spaceships. There are two rows of seats in the waiting room. Using the rules, where are they all sitting? Can you find all the possible ways?