CEMC Cayley, 2014

Algebra Difficulty 1.2 Junior Find the answer Canada

When the numbers 3, $\frac{5}{2}$ and $\sqrt{10}$ are listed in order from smallest to largest, the list is

Pick one

Solution

Since $3 = \frac{6}{2}$ and $\text{5 2 lt; 6 2}$ , then $\text{5 2 lt;3}$ .

Since $3 = \sqrt{9}$ and $\text{9 lt; 10}$ , then $\text{3 lt; 10}$ .

Thus, $\text{5 2 lt;3 lt; 10}$ , and so the list of the three numbers in order from smallest to largest is $\frac{5}{2},3,\sqrt{10}$ .

Want a route through all this instead of an archive? The track puts 2,604 problems in a working order, from Junior Challenge level to the IMO shortlist.

Source: CEMC, University of Waterloo, licensed CC-BY-NC-4.0. Statement reproduced verbatim; metadata (topic, difficulty) added by this project.