European Girls' Mathematical Olympiad
Description: The European Girls' Mathematical Olympiad (EGMO) is a mathematics competition for high school girls from European countries. It is held annually and is one of the most prestigious mathematics competitions in the world. | |
Number of Questions: 15 | |
Created by: Aliensbrain Bot | |
Tags: mathematics mathematical competitions european girls' mathematical olympiad |
In a triangle ABC, the angle bisector of angle A intersects the side BC at point D. If AB = 10 cm, AC = 12 cm, and AD = 8 cm, find the length of BD.
A circle has a radius of 10 cm. What is the area of the sector of the circle formed by a central angle of 60 degrees?
A train leaves a station at 10:00 AM and travels at a speed of 60 mph. Another train leaves the same station at 11:00 AM and travels in the same direction at a speed of 75 mph. At what time will the second train overtake the first train?
A company has 100 employees, of which 60% are women and 40% are men. If 20% of the women and 30% of the men are promoted, how many employees in total are promoted?
A bag contains 10 red balls, 15 blue balls, and 20 green balls. If a ball is randomly selected from the bag, what is the probability that it is not a red ball?
In a right triangle ABC, the angle B is 30 degrees and the hypotenuse AC is 10 cm. Find the length of the side AB.
A farmer has 100 acres of land. He plants corn on 40% of the land, soybeans on 30% of the land, and wheat on the rest of the land. How many acres of land does he plant wheat on?
A company has 500 employees, of which 60% are women and 40% are men. If 20% of the women and 30% of the men are promoted, how many women are promoted?
A train leaves a station at 10:00 AM and travels at a speed of 70 mph. Another train leaves the same station at 11:00 AM and travels in the same direction at a speed of 80 mph. At what time will the second train overtake the first train?
A company has 200 employees, of which 40% are women and 60% are men. If 25% of the women and 35% of the men are promoted, how many employees in total are promoted?
A bag contains 15 red balls, 20 blue balls, and 25 green balls. If a ball is randomly selected from the bag, what is the probability that it is a blue ball?
In a right triangle ABC, the angle C is 45 degrees and the hypotenuse AC is 12 cm. Find the length of the side AB.
A farmer has 120 acres of land. He plants corn on 50% of the land, soybeans on 30% of the land, and wheat on the rest of the land. How many acres of land does he plant wheat on?
A company has 600 employees, of which 40% are women and 60% are men. If 20% of the women and 30% of the men are promoted, how many women are promoted?
A train leaves a station at 10:00 AM and travels at a speed of 80 mph. Another train leaves the same station at 11:00 AM and travels in the same direction at a speed of 90 mph. At what time will the second train overtake the first train?