Consecutive Numbers

An investigation involving adding and subtracting sets of consecutive numbers. Lots to find out, lots to explore.

Calendar Capers

Choose any three by three square of dates on a calendar page...

Building Tetrahedra

Can you make a tetrahedron whose faces all have the same perimeter?

Near 10

Stage: 3 and 4 Short Challenge Level:

We requre that $9< \sqrt {n}< 11$, or, equivalently, that $81< n< 121$.

Hence the possible integer values for n are the $39$ values $n = 82, 83,$ ... $, 119, 120$.

This problem is taken from the UKMT Mathematical Challenges.
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