Squares

There are 78 NRICH Mathematical resources connected to Squares
Triangle in a Square
problem

Triangle in a Square

Age
7 to 11
Challenge level
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Do you agree with Badger's statements? Is Badger's reasoning watertight? Why or why not?
Diagonally Square
problem

Diagonally Square

Age
7 to 11
Challenge level
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Ayah conjectures that the diagonals of a square meet at right angles. Do you agree? How could you find out?
A Swiss sum
problem

A Swiss sum

Age
16 to 18
Challenge level
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Can you use the given image to say something about the sum of an infinite series?
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.
Polydron
problem

Polydron

Age
7 to 11
Challenge level
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This activity investigates how you might make squares and pentominoes from Polydron.
Hidden Squares
problem

Hidden Squares

Age
11 to 14
Challenge level
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Can you find the squares hidden on these coordinate grids?
Data shapes
problem

Data shapes

Age
5 to 7
Challenge level
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Sara and Will were sorting some pictures of shapes on cards. "I'll collect the circles," said Sara. "I'll take the red ones," answered Will. Can you see any cards they would both want?
Seeing Squares
problem

Seeing Squares

Age
5 to 11
Challenge level
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Players take it in turns to choose a dot on the grid. The winner is the first to have four dots that can be joined to form a square.