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Square Areas
Can you work out the area of the inner square and give an explanation of how you did it?
Hallway Borders
What are the possible dimensions of a rectangular hallway if the number of tiles around the perimeter is exactly half the total number of tiles?
Age 11 to 14 Short Challenge Level:
A large box measures 1.7 m by 1.2 m by 1.5 m.
It is to be packed with smaller boxes each measuring 15 cm by 20 cm by 20 cm.
What is the greatest number of small boxes that can be fitted into the larger box, assuming that they are all placed in the same orientation?
This problem is taken from the World Mathematics Championships
You can find more short problems, arranged by curriculum topic, in our short problems collection.
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NRICH is part of the family of activities in the Millennium Mathematics Project.
NRICH is part of the family of activities in the Millennium Mathematics Project.