Squares

There are 78 NRICH Mathematical resources connected to Squares
Let Us Reflect
problem

Let Us Reflect

Age
7 to 11
Challenge level
filled star empty star empty star
Where can you put the mirror across the square so that you can still "see" the whole square? How many different positions are possible?
Semi-detached
problem

Semi-detached

Age
14 to 16
Challenge level
filled star filled star empty star
A square of area 40 square cms is inscribed in a semicircle. Find the area of the square that could be inscribed in a circle of the same radius.
Fitted
problem

Fitted

Age
7 to 11
Challenge level
filled star filled star filled star
Nine squares with side lengths 1, 4, 7, 8, 9, 10, 14, 15, and 18 cm can be fitted together to form a rectangle. What are the dimensions of the rectangle?
Diagrams
problem

Diagrams

Age
7 to 11
Challenge level
filled star filled star empty star
A group activity using visualisation of squares and triangles.
Halving
problem

Halving

Age
5 to 7
Challenge level
filled star filled star empty star
These pictures show squares split into halves. Can you find other ways?
LOGO Challenge 5 - Patch
problem

LOGO Challenge 5 - Patch

Age
11 to 16
Challenge level
filled star empty star empty star
Using LOGO, can you construct elegant procedures that will draw this family of 'floor coverings'?
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?