Squares

There are 79 NRICH Mathematical resources connected to Squares
Pinned Squares
problem

Pinned squares

Age
14 to 16
Challenge level
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What is the total number of squares that can be made on a 5 by 5 geoboard?
Diagrams
problem

Diagrams

Age
7 to 11
Challenge level
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A group activity using visualisation of squares and triangles.
Trig Rules OK
problem

Trig rules ok

Age
16 to 18
Challenge level
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Change the squares in this diagram and spot the property that stays the same for the triangles. Explain...
Folding Squares
problem

Folding squares

Age
14 to 16
Challenge level
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The diagonal of a square intersects the line joining one of the unused corners to the midpoint of the opposite side. What do you notice about the line segments produced?
Tangrams
problem

Tangrams

Age
5 to 11
Challenge level
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Can you make five differently sized squares from the interactive tangram pieces?

2001 Spatial Oddity
problem

2001 spatial oddity

Age
11 to 14
Challenge level
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With one cut a piece of card 16 cm by 9 cm can be made into two pieces which can be rearranged to form a square 12 cm by 12 cm. Explain how this can be done.
Square Surprise
problem

Square surprise

Age
5 to 11
Challenge level
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Why do you think that the red player chose that particular dot in this game of Seeing Squares?
Peg and Pin Boards
article

Peg and pin boards

This article for teachers suggests activities based on pegboards, from pattern generation to finding all possible triangles, for example.
Zooming in on the Squares
article

Zooming in on the squares

Start with a large square, join the midpoints of its sides, you'll see four right angled triangles. Remove these triangles, a second square is left. Repeat the operation. What happens?