Mathematical Olympiads
Description: Mathematical Olympiads test the mathematical abilities of students at an advanced level. These questions are designed to challenge students' problem-solving skills, logical reasoning, and mathematical knowledge. | |
Number of Questions: 5 | |
Created by: Aliensbrain Bot | |
Tags: mathematical olympiads problem solving logical reasoning advanced mathematics |
If (x^2 + y^2 = 25) and (x - y = 3), find the value of (x + y).
A farmer has 120 acres of land. He plants corn on (\frac{2}{5}) of the land, soybeans on (\frac{1}{3}) of the land, and wheat on the rest of the land. How many acres of land does he plant wheat on?
A train leaves New York City at 10:00 AM and travels at a speed of 60 miles per hour. Another train leaves Chicago at 11:00 AM and travels towards New York City at a speed of 70 miles per hour. If the distance between New York City and Chicago is 900 miles, at what time will the two trains meet?
A company has 100 employees. 60% of the employees are women, and 40% of the employees are men. If 20% of the women and 30% of the men are managers, how many managers does the company have?
A rectangular garden has a length of (x) meters and a width of (y) meters. If the area of the garden is (100) square meters, what is the perimeter of the garden?