You may also like

problem icon

Consecutive Numbers

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

problem icon

Calendar Capers

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

problem icon

Building Tetrahedra

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

Near 10

Stage: 3 and 4 Short Challenge Level: Challenge Level:1

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.
View the archive of all weekly problems grouped by curriculum topic