MathDB

13

Part of 2015 ASDAN Math Tournament

Problems(2)

2015 Guts #13

Source:

7/28/2022
A three-digit number xx in base 1010 has a units-digit of 66. When xx is written is base 99, the second digit of the number is 44, and the first and third digit are equal in value. Compute xx in base 1010.
2015Guts Test
2015 Team #13

Source:

8/3/2022
The incircle of triangle △ABC\triangle ABC is the unique inscribed circle that is internally tangent to the sides AB‾\overline{AB}, BC‾\overline{BC}, and CA‾\overline{CA}. How many non-congruent right triangles with integer side lengths have incircles of radius 20152015?
2015team test