MathDB

2

Part of 2017 Junior Regional Olympiad - FBH

Problems(3)

Junior Regional Olympiad - FBH 2017 Grade 6 Problem 2

Source:

9/20/2018
In three cisterns of milk lies 780780 litres of milk. When we pour off from first cistern quarter of milk, from second cistern fifth of milk and from third cistern 37\frac{3}{7} of milk, in all cisterns remain same amount of milk. How many milk is in cisterns?
milkequation
Junior Regional Olympiad - FBH 2017 Grade 8 Problem 2

Source:

9/20/2018
Square table 5×55 \times 5 is filled with numbers in a following way. https://services.artofproblemsolving.com/download.php?id=YXR0YWNobWVudHMvYi8zLzQ0Y2M1NjdiNjQ3NjhlYTAwMWQ0MTg2ZjIwZWE4NzkwYzcwYWFkLnBuZw==&rn=dGFiZWxpY2EucG5n We can change the table in a way we take two arbitrary numbers from the table and we decrease both of them with value of smaller of those two. Can we get to the table with all zeros?
combinatorics
Junior Regional Olympiad - FBH 2017 Grade 7 Problem 2

Source:

9/20/2018
In quadrilateral ABCDABCD holds AB=6AB=6, AD=4AD=4, ∠DAB=∠ABC=60∘\angle DAB=\angle ABC = 60^{\circ} and ∠ADC=90∘\angle ADC = 90^{\circ}. Find length of diagonals and area of the quadrilateral
geometryquadrilateral