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### Number and algebra

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### Working mathematically

### For younger learners

### Advanced mathematics

# 2001 Spatial Oddity

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### Is There a Theorem?

Links to the University of Cambridge website
Links to the NRICH website Home page

Nurturing young mathematicians: teacher webinars

30 April (Primary), 1 May (Secondary)

30 April (Primary), 1 May (Secondary)

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Age 11 to 14

Challenge Level

- Problem
- Student Solutions

A 16 cm by 9 cm piece of card can be cut into two pieces which can be rearranged to form a 12 cm by 12 cm square. Explain how this can be done.

Find the dimensions of other rectangles that can be cut into exactly two pieces and rearranged to form a square.

Draw a square. A second square of the same size slides around the first always maintaining contact and keeping the same orientation. How far does the dot travel?