Sequence and fraction | AIME I, 2000 | Question 10

Try this beautiful problem from the American Invitational Mathematics Examination, AIME, 2000 based on Sequence and fraction. Sequence and fraction – AIME I, 2000 A sequence of numbers \(x_1,x_2,….,x_{100}\) has the property that, for every integer k...

Tetrahedron Problem | AIME I, 1992 | Question 6

Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 1992 based on Tetrahedron. Tetrahedron Problem – AIME I, 1992 Faces ABC and BCD of tetrahedron ABCD meet at an angle of 30,The area of face ABC=120, the area of face BCD...

Triangle and integers | AIME I, 1995 | Question 9

Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 1995 based on Triangle and integers. Triangle and integers – AIME I, 1995 Triangle ABC is isosceles, with AB=AC and altitude AM=11, suppose that there is a point D on AM...