Visualising and representing

There are 575 NRICH Mathematical resources connected to Visualising and representing
Squares, Squares and More Squares
problem

Squares, squares and more squares

Age
11 to 14
Challenge level
filled star empty star empty star
Can you dissect a square into: 4, 7, 10, 13... other squares? 6, 9, 12, 15... other squares? 8, 11, 14... other squares?
The Cantor Set
problem

The cantor set

Age
11 to 14
Challenge level
filled star filled star filled star
Take a line segment of length 1. Remove the middle third. Remove the middle thirds of what you have left. Repeat infinitely many times, and you have the Cantor Set. Can you picture it?
Daniel's Star
problem

Daniel's star

Age
11 to 14
Challenge level
filled star empty star empty star
A solid 'star' shape is created. How many faces does it have?
Packing 3D shapes
problem

Packing 3d shapes

Age
14 to 16
Challenge level
filled star filled star filled star
What 3D shapes occur in nature. How efficiently can you pack these shapes together?
Island Hopping
problem

Island hopping

Age
11 to 14
Challenge level
filled star empty star empty star
What is the smallest number of ferry trips that Neda needs to take to visit all four islands and return to the mainland?
Cube bricks and daisy chains
problem

Cube bricks and daisy chains

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

Daisy and Akram were making number patterns. Daisy was using beads that looked like flowers and Akram was using cube bricks. First they were counting in twos.

Jam
game

Jam

To avoid losing think of another very well known game where the patterns of play are similar.

Part the Polygons
problem

Part the polygons

Age
7 to 11
Challenge level
filled star empty star empty star
Draw three straight lines to separate these shapes into four groups - each group must contain one of each shape.
Dissect
problem

Dissect

Age
11 to 14
Challenge level
filled star filled star filled star
What is the minimum number of squares a 13 by 13 square can be dissected into?