MathDB

2

Part of 2015 Junior Regional Olympiad - FBH

Problems(3)

Junior Regional Olympiad - FBH 2015 Grade 6 Problem 2

Source:

10/1/2018
One day students in school organised a exchange between them such that : 1111 strawberries change for 1414 raspberries, 2222 cherries change for 2121 raspberries, 1010 cherries change for 33 bananas and 55 pears for 22 bananas. How many pears has Amila to give to get 77 strawberries
exchangenumber theory
Junior Regional Olympiad - FBH 2015 Grade 7 Problem 2

Source:

10/1/2018
Seller reduced price of one shirt for 20%20\%,and they raised it by 10%10\%. Does he needs to reduce or raise the price and how many, so that price of shirt will be reduced by 10%10\% from the original price
Percents
Junior Regional Olympiad - FBH 2015 Grade 8 Problem 2

Source:

10/1/2018
Show tha value A=(b−c)2(a−b)(a−c)+(c−a)2(b−c)(b−a)+(a−b)2(c−a)(c−b)A=\frac{(b-c)^2}{(a-b)(a-c)}+\frac{(c-a)^2}{(b-c)(b-a)}+\frac{(a-b)^2}{(c-a)(c-b)} does not depend on values of aa, bb and cc
value