Category Archives: Grade 8

[Soln] 2015 Romania Junior Balkan TST Day 1 Problem 3

2015 Romania Junior Balkan TST 1.3. Let . Show that:

Posted in Grade 8, Romania | Tagged , , | Leave a comment

2015 Romania Junior Balkan TST Day 1 Problem 3

2015 Romania Junior Balkan TST 1.3. Let . Show that:

Posted in Grade 8, Romania | Tagged , , | Leave a comment

[Soln] 2015 Romania Junior Balkan TST Day 1 Problem 1

2015 Romania Junior Balkan TST 1.1. Let be an acute triangle with . Also let be the midpoint of the side , the orthocenter of the triangle , the midpoint of the segment and the center of the circumscribed circle … Continue reading

Posted in Grade 8, Romania | Tagged , , | Leave a comment

2015 Romania Junior Balkan TST Day 1 Problem 1

2015 Romania Junior Balkan TST 1.1. Let be an acute triangle with . Also let be the midpoint of the side , the orthocenter of the triangle , the midpoint of the segment and the center of the circumscribed circle … Continue reading

Posted in Grade 8, Romania | Tagged , , | Leave a comment

[Soln] 2015 Romania Junior Balkan TST Day 1 Problem 4

2015 Romania Junior Balkan TST 1.4. Solve in non-negative integers the following equation:

Posted in Grade 8, Romania | Tagged , , | Leave a comment

2015 Romania Junior Balkan TST Day 1 Problem 4

2015 Romania Junior Balkan TST 1.4. Solve in non-negative integers the following equation:

Posted in Grade 8, Romania | Tagged , , | Leave a comment

[Soln] 2002 Moldova NMO Grade 8 Day 2 Problem 4

2002 Moldova NMO Gr 8 2.4. Let . Find the minimum and maximum values of the expression:

Posted in Grade 8, Moldova | Tagged , , | Leave a comment