Primary Mathematics World Contest 2006
In this posting, I will share my math problems and this math problems, taken from Primary Mathematics World Contest 2006, that held in Po Leung Kuk. This contest is for individual and I believe you can solve it.
Please read carefully and then take your paper and pencil to do this math problems.
1. Lily plans to spend all of her $31 to buy different types of pens that cost $2, $3 and $4 respectively. If she wants to buy at least 1 pen of each type, what is the maximum number of pens that she can buy?
Answer: 14
2. a, b and c are two-digit numbers. The unit digit of a is 7, the unit digit of b is 5 and the tens digit of c is 1. If a x b + c = 2006, find the value of a + b + c .
3. A class of students bought and equally distributed a certain number of notebooks. If the notebooks are distributed to girls only, each girl will receive 15 notebooks. If the notebooks are distributed to boys only, each boy will receive 10 notebooks. If the notebooks are equally distributed to everyone in the class, how many notebooks will each student receive?
4. The lengths of two sides of a triangle are 2006 and 6002 units respectively. If the length, in the same units, of the third side of this triangle is an integer, how many different triangles can exist?
5. We have four cards numbered 1, 2, 3 and 4 respectively. Three of the four cards are placed into the boxes as shown in the equation below.
How many different values of n can be obtained?
ASEAN PRIMARY SCHOOLS MATHEMATICS OLYMPIAS 2003 ESSAYS
Directions
1. Answer all 15 problems.
2. Show all works. Do not give theanswer only.
3. You have 90 minutes to work on this test.
1. Now we are in the year 2003. The ratio of ages of my father, my mother and my youngers brother is 12:9:1. Five years from now, my father will be 41 years old. In what year was my younger brother born?
2. Laila’s saving in a bank is $100. Tina’s saving is $40. Every end of week, Laila withdraw $3 from her savings. At the same time, Tina always deposit $2.40 into her savings. After how many weeks will Laila’s savings be $6 than Tina’s savings?
3. The product of two positive integers is even, but not divisible by 4. Is their sum odd or even?
How many cubes ?
How many unit cubes are still required to meet the box in the picture above?
Math Olympiad Solution ?
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