Squares

There are 79 NRICH Mathematical resources connected to Squares
Jig Shapes
problem
Favourite

Jig shapes

Age
5 to 11
Challenge level
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Can you each work out what shape you have part of on your card? What will the rest of it look like?

Halving
problem
Favourite

Halving

Age
5 to 7
Challenge level
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These pictures show squares split into halves. Can you find other ways?

Ten Hidden Squares
problem
Favourite

Ten hidden squares

Age
7 to 14
Challenge level
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These points all mark the vertices (corners) of ten hidden squares. Can you find the 10 hidden squares?
Square coordinates
problem
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Square coordinates

Age
11 to 14
Challenge level
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A tilted square is a square with no horizontal sides. Can you devise a general instruction for the construction of a square when you are given just one of its sides?

Sorting Logic Blocks
problem
Favourite

Sorting logic blocks

Age
5 to 11
Challenge level
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This activity focuses on similarities and differences between shapes.

Zig Zag
problem
Favourite

Zig zag

Age
14 to 16
Challenge level
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Four identical right angled triangles are drawn on the sides of a square. Two face out, two face in. Why do the four vertices marked with dots lie on one line?
Transformations on a Pegboard
problem
Favourite

Transformations on a pegboard

Age
7 to 11
Challenge level
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How would you move the bands on the pegboard to alter these shapes?
Opposite vertices
problem
Favourite

Opposite vertices

Age
11 to 14
Challenge level
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Can you recreate squares and rhombuses if you are only given a side or a diagonal?

Fitted
problem
Favourite

Fitted

Age
7 to 11
Challenge level
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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?

Complete the Square
problem
Favourite

Complete the square

Age
5 to 7
Challenge level
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Complete the squares - but be warned some are trickier than they look!