In addition to 
                    these tips for finding and writing solutions, we highly recommend 
                    students keep a binder of all USAMTS materials. Keep copies 
                    of your solutions for this binder, and keep copies of the 
                    problems and the official solution in the binder.
                  
                    
                          
                          
                  
                    - Make 
                      a simpler version of the same problem and solve that.
- When 
                      stuck, ask yourself what information you have not used yet.
- For 
                      geometry problems, construct large diagrams and construct 
                      them precisely with a ruler and compass (or with a geometry 
                      rendering program). Accurate diagrams will help prevent 
                      your wasting time trying to prove things that aren't true, 
                      or will suggest things that might be true that might help 
                      your solution.
- Compare 
                      the problem to similar problems which you have solved in 
                      the past.
                  
                    - Try 
                      typesetting your solutions with  . 
                      You can get more information about how to use . 
                      You can get more information about how to use here. 
                      A template form for here. 
                      A template form for can be found on the Forms page. can be found on the Forms page.
- Read 
                      the following webpages about writing solutions: