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 Youth Mathematics Contest 2007 HEMIC
Individual Competition
Instructions:
- Write down your name, team name and candidate number on the answer sheet.
- Write down all answers on the answer sheet.
- Answer all 15 problems. Problems are in ascending order of level of difficulty. Only NUMERICAL answers are needed.
- Each problem is worth 6 points and the total is 90 points.
- or problems involving more than one answer, points are given only when ALL answers are correct.
- Take ? = 3.14 if necessary.
- No calculator or calculating device is allowed.
- Answer the problems with pencil, blue or black ball pen.
- All materials will be collected at the end of the competition.
1. The product of two three-digit numbers abc and cba is 396396, where a > c. Find the value of abc!
2. In a right-angled triangle ACD, the area of shaded region is 10 cm^2, as shown in the figure below. AD = 5 cm, AB = BC, DE = EC. Find the length of AB!
