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Shades of Fermat's Last Theorem
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Shades of Fermat's Last Theorem

16 to 18
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The familiar Pythagorean 3-4-5 triple gives one solution to (x-1)^n + x^n = (x+1)^n so what about other solutions for x an integer and n= 2, 3, 4 or 5?

Positive About Negative Numbers
article

Positive about negative numbers

5 to 11

In this article for teachers, Liz Woodham describes resources on NRICH that can help primary-aged children get to grips with negative numbers.

Hallway Borders
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Hallway borders

11 to 14
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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?
Babylon numbers
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Babylon numbers

11 to 18
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Can you make a hypothesis to explain these ancient numbers?
Cuboid-in-a-Box
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Cuboid-in-a-box

7 to 11
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What is the smallest cuboid that you can put in this box so that you cannot fit another that's the same into it?
Sitting round the party tables
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Favourite

Sitting round the party tables

5 to 11
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Sweets are given out to party-goers in a particular way. Investigate the total number of sweets received by people sitting in different positions.

Sending Cards
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Sending cards

7 to 11
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This challenge asks you to investigate the total number of cards that would be sent if four children send one to all three others. How many would be sent if there were five children? Six?
Platonic Planet
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Platonic planet

14 to 16
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Glarsynost lives on a planet whose shape is that of a perfect regular dodecahedron. Can you describe the shortest journey she can make to ensure that she will see every part of the planet?
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