Math Olympiad Essay Problems
Instructions:
* Write down your name and country on every page.
* Answer all 13 questions.
* You have 90 minutes to work on this test.
* Write down your answer and the explanation on the space below the question.
* Use pen to write your answer.
* Use pencil only to draw figures.
1. John gives 1/6 of his marbles to Alex and 20 marbles to Simon. John’s remaining marblesvis now 55. How many marbles does John have originally?
2. The total number of ducks and chickens in the garden is 335. If the number of chickensvis 2/3 of the number of ducks, how many chickens are there in the garden?
3. Mr. Sweet has three kinds of books: 120 mathematics, 144 biology, and 100 physics books. He is going to give all the books to the schools in his village such that each school receives the same number of mathematics, biology and physics books. How many schools, at most, receive books from Mr. Sweet?
4. Jerry is riding a motorbike at 60 km/hour while Tom is riding his motorbike at 45 km/hour in the same direction from the same starting point. Jerry left 1 1/3 hours later than Tom did. How long will it take Jerry to catch up Tom?
5. An ant moves on the surface of a cube from vertex A to vertex B. Draw the shortest path from A to B passed by the ant.
IMSO 2006 Short Answer
It’s important to our children, try to take competitons in his school. Competitons make them learn and compete with his friend in the same age. One of them is follow Math Competions. Math is one of subject to make childrean smarter and can solve complicate problems.
In this posting, I will share IMSO (International Mathematics and Science Olympiad) that be held in 2006. Do this math problem seriously!
1. Three signal lights were set to flash every certain specified time. The first light flashes every 12 seconds, the second flashes every 30 seconds and the third one every 66 seconds. The signal lights flash simultaneously at 8:30 a.m. At what time will the signal lights next flash together?
2. Dina’s money consists of ten-thousand and five-thousand rupiah bills. The number of ten-thousand bills is three more than twice the number of five-thousand bills. If Dina has Rp355, 000, what is the number of ten-thousand bills that she has?
3. The principal of Makmur Jaya Elementary School is replaced every 4 years. At most how many principals will the school have from 2006 to 2020?
Indonesia Elementary Mathematics International Contest (INAEMIC) 2006
Problems:
1. When Anura was 8 years old his father was 31 years old. Now his father is twice as old as Anura is. How old is Anura now?
2. Nelly correctly measures three sides of a rectangle and gets a total of 88 cm. Her brother Raffy correctly measures three sides of the same rectangle and gets a total of 80 cm. What is the perimeter of the rectangle, in cm?
3. Which number should be removed from: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 and 11 so that the average of the remaining numbers is 6.1?
4. The houses in a street are located in such a way that each house is directly opposite another house. The houses are numbered 1, 2, 3, … up one side, continuing down the other side of the street. If number 37 is opposite number 64, how many houses are there in the street altogether?
5. There are 6 basketball players and 14 cheerleaders. The total weight of the 6 basketball players is 540 kg. The average weight of the 14 cheerleaders is 40 kg. What is the average weight of all 20 people?
