Visualising and representing

There are 575 NRICH Mathematical resources connected to Visualising and representing
Regular Rings 1
problem

Regular rings 1

Age
7 to 11
Challenge level
filled star filled star empty star
Can you work out what shape is made by folding in this way? Why not create some patterns using this shape but in different sizes?
Regular Rings 2
problem

Regular rings 2

Age
7 to 11
Challenge level
filled star filled star empty star
What shape is made when you fold using this crease pattern? Can you make a ring design?
Painting Possibilities
problem

Painting possibilities

Age
7 to 11
Challenge level
filled star filled star filled star
This task, written for the National Young Mathematicians' Award 2016, involves open-topped boxes made with interlocking cubes. Explore the number of units of paint that are needed to cover the boxes and the small cubes that would fit inside each one.
Fraction Lengths
problem

Fraction lengths

Age
7 to 11
Challenge level
filled star filled star empty star

Can you find combinations of strips of paper which equal the length of the black strip? If the length of the black is 1, how could you write the sum of the strips?

Linked Chains
problem

Linked chains

Age
7 to 11
Challenge level
filled star empty star empty star

Can you find ways to make twenty-link chains from these smaller chains? This gives opportunities for different approaches.

Jigsaw Pieces
problem

Jigsaw pieces

Age
7 to 11
Challenge level
filled star empty star empty star
How will you go about finding all the jigsaw pieces that have one peg and one hole?
Open Boxes
problem

Open boxes

Age
7 to 11
Challenge level
filled star filled star empty star
Can you work out how many cubes were used to make this open box? What size of open box could you make if you had 112 cubes?
Who's who?
problem

Who's who?

Age
11 to 16
Challenge level
filled star filled star empty star

Can you solve the clues to find out who's who on the friendship graph?

Square Surprise
problem

Square surprise

Age
5 to 11
Challenge level
filled star empty star empty star
Why do you think that the red player chose that particular dot in this game of Seeing Squares?
Can you traverse it?
problem

Can you traverse it?

Age
14 to 18
Challenge level
filled star empty star empty star

How can you decide if a graph is traversable?