Short Answer IMSO 2004 (Mathematics Olympiad)
International Mathematics and Science Olympiad (IMSO) for Primary School 2004.
Instructions:
* Write down your name on every page.
* Answer all 25 questions.
* You have 60 minutes to work on this test.
* Write your answer in the boxes provided.
Math Problems
1. A pole is 156 cm high. It casts a shadow of length 234 cm. Find the length of the shadow cast by a 104 cm-high pole.
2. The square ABCD is divided into 9 smaller squares as shown in the figure. The perimeter of ABCD is 360 m. Find the perimeter of one smaller square.
3. A farmer has some goats and chickens. He counts 110 legs and 76 eyes. How many goats does he have?
4. The table shows Andi’s grades for Test 1 and Test 2 in Mathematics, Language and Science. In which subject does he show the best improvement in terms of percentage, from Test 1 to Test 2?
India 2nd Elementary Mathematics International Contest (IEMIC)
Individual Contest
Time Limit – 90 Minutes 10th September 2004 Lucknow, India
Team _________________ Contestant No. ____________
Score __________
Name ________________________________
1. There are 5 trucks. Trucks A and B each carry 3 tons. Trucks C and D each carry 4.5 tons. Truck E carries 1 ton more than the average load of all the trucks. How many tons does truck E carry?
2. Let A = 200320032003 2004200420042004 and B = 200420042004 2003200320032003.
Find A – B.
3. There are 5 boxes. Each box contains either green or red marbles only. The numbers of marbles in the boxes are 110, 105, 100, 115 and 130 respectively. If one box is taken away, the number of green marbles in the remaining boxes will be 3 times the number of red marbles. How many marbles are there in the box that is taken away?
4. Find the smallest natural number which when multiplied by 123 will yield a product that ends in 2004.
International Mathematics 2005
Read and do carefully math olympiad problems below and may usefull for your students and make them love math.
1. Complete this magic triangle so that the numbers along each side give the same sum. Use each of the numbers 5, 6, 7, 8, 9 and 10 only once. (You are required to give only one solution.)
2. The height of the ground floor of a building is 4 m. The height of each of the other floors is 3 m. The total height of this building is 61 m. Inclusive of the ground floor, how many floors does the building have?
