# Mathematics Exploration Problems (IMSO 2005)

International **Mathematics and Science Olympiad** (IMSO) for Primary School 2005

1. The following figure shows a road map of the Gotthem City. Every road is one way, as indicated by the arrow.

Questions:

(a) [1 point] How many possible routes are there from A to D?

(b) [2 points] How many possible routes are there from A to H?

(c) [3 points] How many possible routes are there from A to L?

2. There are some people playing a card game. On the table there are fifty cards, numbered 1 to 50, all facing up. Each player is allowed to choose a certain number of cards. If the sum of the numbers on all the cards chosen by the player is the highest, then he/she is the winner. There is only one winner.

Questions:

What is the lowest possible score that makes a player a sure winner if each player has

to choose:

(a) [2 points] two cards?

(b) [2 points] three cards?

(c) [2 points] five cards?

# International Mathematics and Science Olympiad (IMSO) for Primary School 2005

I have found Mathematics Exploration Problems in my folder. Please solve this problems correclty.

1. The following figure shows a road map of the Gotthem City. Every road is one way, as indicated by the arrow.

Questions:

(a) [1 point] How many possible routes are there from A to D?

(b) [2 points] How many possible routes are there from A to H?

(c) [3 points] How many possible routes are there from A to L?

2. There are some people playing a card game. On the table there are fifty cards, numbered 1 to 50, all facing up. Each player is allowed to choose a certain number of cards. If the sum of the numbers on all the cards chosen by the player is the highest, then he/she is the winner. There is only one winner. Questions:

What is the lowest possible score that makes a player a sure winner if each player has to choose:

(a) [2 points] two cards?

(b) [2 points] three cards?

(c) [2 points] five cards?

# 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?

# 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?

# Math Question

Below is one of math question in Math Olympiad For Primary School.

Amanda and Cindy share a sum of money. If Amanda gives 1/3 of her share

to Cindy, Cindy will have $48 more than Amanda. If Amanda gives 1/6 of her share to Cindy, Cindy will have $30 more than Amanda. What is the ratio of Amanda’s share to Cindy’s share?