Math Olympiad For Primary School » Primary School

IMSO 2006 Short Answer

admin — Tue, 07 Feb 2012 15:28:24 +0000

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?

4. The area of the shaded region shown in the figure below is 98cm2. Find the length of a.

5. The sequence below is arranged by using numbers 1, 2 and 3 only: 1, 2, 2, 3, 3, 3, 1, 1, 1, 1, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 1, 1, 1, 1, 1, 1, 1, . . .
What is the 100th number?

6. Every whole number larger than 7 can always be expressed as a sum of 3’s, 5’s, or both. For example, 9 = 3 + 3 + 3, 10 = 5 + 5 and 19 = 5 + 5 + 3 + 3 + 3. With the rule that 5 always comes before 3, how many ways can we express 444?

7. Consider all possible numbers between 100 and 2006 which are formed by using only the digits 0, 1, 2, 3, 4 with no digit repeated. How many of these are divisible by 6?

8. Two runners run in opposite directions from the same starting line. They run around a field which has 300 m perimeter. If the first runner runs at 150 m/minute and the second one runs at 125 m/minute, how many times will the two runners pass each other in the first 20 minutes?

9. The ratio of the number of students in Class A to Class B is 1:2. The ratio of the respective average test scores is 8:9. If the average score of class A is 72, find the average score of all the students.

10. In the following figures, the area of the biggest equilateral triangle is 16cm2. A new triangle is formed by connecting the midpoints of the sides of the previous triangle. If the pattern continues, find the area of the smallest triangle in Figure 5.

11. Each vertex of a regular pentagon is connected to the other vertices as shown in the figure below so that the pentagon is divided into 11 non-overlapping regions. How many non-overlapping regions can be obtained if we do the same procedure to a regular hexagon?

12. A 20cm×40cm×80cm wooden block is sliced into four small identical blocks. Find the largest possible sum of the surface areas of the small blocks.

13. The perimeters of a square and an equilateral triangle are equal. If the length of the side of the equilateral triangle is 8 cm, find the area of the square.

14. The faces of a cube are to be painted so that two faces with a common edge are painted with different colours. Find the minimum number of colours needed to do this.

15. How many non-congruent triangles with perimeter 11 have integer side lengths?

16. The following magic square is to be filled with numbers 17, 18, …, 24 so that the sums of numbers in every column, every row and the two diagonals are equal. Which number should be in the cell with the star (*)?

17. The faces of a dice are marked with dots from 1 to 6. The total number of dots on two opposite faces (top-bottom, left-right, front-back) is 7. Four dices are arranged as shown below. The faces of two dices that touch each other have the same number of dots. What is the total number of dots on the faces that touch each other?

18. Every edge of a cube is colored either red or green. In order to have at least one red edge on every face of the cube, find the minimum number of edges that must be colored red.

19. Let A,B,C represent three different digits such that:

Find the largest possible value of the 3-digit number ABC.

20. When 31513 and 34369 are each divided by a certain 3-digit number, the remainders are equal. Find this remainder.

21. What is the volume of the concrete foot bridge shown below? (Use phi = 22/7 )

22. The sides of a trapezoid touch the circle of radius 10 as shown in the figure below. The non parallel sides are of lengths 23 and 27 cm respectively. Find the area of trapezoid.

23. Each of the letters A,D,E,K, S,W and Y represents a different one of the digits 0, 1, 2, 3, 4, 5, 6, 7 and 8 such that

Which digit does E represent?

24. Dogol writes a sequence of five non-negative 1-digit numbers on the blackboard. He then erases two consecutive numbers and replaces them with their difference. He obtains the sequence 5, 0, 3, 5 on the board. How many possible sequences can he start with?

25. If you read the picture on the left below, it says there are 3 ones, 1 two and 1 four, which is correct. Fill in the four boxes in the picture on the right to make it correct too. Write down the four digits from left to right as a 4-digit number.

I Love Math

admin — Sat, 06 Aug 2011 07:08:40 +0000

Many of our students or children, perhaps only 2 of 10 students who say I like Math. Most students do not like Math. The reason is classical, including difficult, lazy and too much thinking.

Teachers and parents play an important role in student learning or child development. Teachers and parents who proactive towards education children will encourage comfort in learning subjects including Mathematics.

Mathematics is not identical with doing problems. But working on practice questions is also an important part in learn math. When teachers and parents giving Math question, should be accompanied by evaluation and reflection. With these dynamics, I believe the children can say “I Love Math”.

LOVE MATH

One way to love math is do math problem. And in this posting I wolud like to share Math problem for primary school.

1. Three circular disks of radius 7 cm each are belt, see figure. What is the length of the belt?

2. The volume of a small balloon is 2 liters and a larger balloon is 5 liters. The small balloon is increased at a rate of 0.3 liters per second. The larger balloon is
decreased at a rate of 0.12 liters per second. After how many seconds will the two balloons have the same volume?

3. A train travels between two stations. The train will be on time if it runs at an
average speed of 60 km/hour, but will be late by 5 minutes if it runs at an average speed of 50 km/hour. What is the distance between the two stations?

4. Twice the number of marbles in bag A is less than the number of marbles in bag B. The sum of the number of marbles in bags A and C is less than the number
of marbles in bag B. There are more marbles in bag D than in bag B. There are 6 marbles in bag C and 9 marbles in bag D. How many marbles does bag B contain?

5. Now we are in the year 2004. The ratio of ages of my father, my mother, and my younger brother is 12:9:1. Five years from now, my father will be 41 years old. In what year was my younger brother born?

6. The product of two positive integers is even, but not divisible by 4. Is their sum odd or even?

7. On the table, there are 6 coins each of the values $5, $10, and $50. Deni takes $75. The number of coins Deni takes is more than 5, but less than 9. Does Deni take all the three types of coins? If not, which type does he not take?

8. The weight of a small box, two medium boxes and a large box altogether is 10 kg. The weight of a small box, two medium boxes and two large boxes altogether is 15 kg. What is the total weight of two small boxes and four medium
boxes?

9. Replace the letter A with an odd digit and the letter B with an even digit, so that 12 is a factor of the number A579B. Find the all possible values of A579B.

10. Find the missing digits.

11. Find the total area of the shaded regions in the figure.

12. In the following figures, the three squares have equal areas. Determine whether the areas of the three shaded regions in each square are also equal.

13. If the pattern below is continued, what is the percentage of the area of the shaded regions in the third picture compared to the area of the largest square?

14. Four wheels A, B, C, and D are connected by belts, see figure. The wheels B and C are fastened together. The diameters of wheels A, B, C, and D are 12 cm, 36 cm, 9 cm, and 27 cm, respectively. The wheel A turns at a speed of 450 rotations per minute. At what speed does the wheel D turn?

15. Laila’s savings in a bank is $100. Tina’s savings is $40. Every end of the week, Laila withdraws $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 more than Tina’s savings?

IMSO For Primary School

admin — Tue, 02 Aug 2011 08:37:49 +0000

Below are Mathematics Olympiad questions that ever held in Jakarta, Indonesian in 2006. There are 25 questions with short answers, and hopefully usefull for you to improve your math skill!.

Instructions:
* Write down your name and country on the answer sheet.
* Write your answer on the answer sheet.
* Answer all 25 questions in English.
* You have 60 minutes to work on this test.
* Use pen to write your answer.

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?

4. The area of the shaded region shown in the figure below is 98cm^2. Find the length of a.

5. The sequence below is arranged by using numbers 1, 2 and 3 only: 1, 2, 2, 3, 3, 3, 1, 1, 1, 1, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 1, 1, 1, 1, 1, 1, 1, . . . What is the 100th number?

7. Consider all possible numbers between 100 and 2006 which are formed by using only the digits 0, 1, 2, 3, 4 with no digit repeated. How many of these are divisible by 6?

12. A 20cm×40cm×80cm wooden block is sliced into four small identical blocks. Find the largest possible sum of the surface areas of the small blocks.

13. The perimeters of a square and an equilateral triangle are equal. If the length of the side of the equilateral triangle is 8 cm, find the area of the square.

14. The faces of a cube are to be painted so that two faces with a common edge are painted with different colours. Find the minimum number of colours needed to do this.

15. How many non-congruent triangles with perimeter 11 have integer side lengths?

18. Every edge of a cube is colored either red or green. In order to have at least one red edge on every face of the cube, find the minimum number of edges that must be colored red.

19. Let A,B,C represent three different digits such that:

Find the largest possible value of the 3-digit number ABC.

20. When 31513 and 34369 are each divided by a certain 3-digit number,
the remainders are equal. Find this remainder.

21. What is the volume of the concrete foot bridge shown below? (use phi = 22/7)

22. The sides of a trapezoid touch the circle of radius 10 as shown in the figure below. The non parallel sides are of lengths 23 and 27 cm respectively. Find the area of trapezoid.

23. Each of the letters A,D,E,K, S,W and Y represents a different one of the digits 0, 1, 2, 3, 4, 5, 6, 7 and 8 such that

Which digit does E represent?

Math Olympiad Problem Solving for Primary Schools

admin — Sun, 27 Mar 2011 05:02:56 +0000

1. Distance of Yogyakarta to Kebumen is 126. It can be reached by car within 2 1/4 hours. The average speed of vehicles that are … km/h?

2. Diamond Savings Bank is Rp 200.000,00. After one year, the amount of savings to be Rp 224.000,00. On average each month relationship is …%.

3. A train traveled 720 km with an average speed of 60 km/ hour. Train travel time is … hours.

4. The price of a chicken USD 25000.00. Price a goat Rp650.000, 00. To be able to buy 2 goats must sell as much cock … tail.

5. Gilang marbles 3/5 times the marbles Saiful. The number of marbles Saiful 35 point. The difference is … point their marbles.

6. Broad base of a kerosene drum 45 dm ^ 2, 12o cm high. 1 liter kerosene price of Rp 900,00. Price 1 1 2 drums of kerosene is … rupiah.

7. Price Rp75.000 pair of shoes, 15% discount price. Cash price for those shoes are .. rupiah.

8. Dad dug clay length of 2 m, width 1.5 m and a depth of 5 m. If
whole soil excavation was made brick-shaped beam with a length of 20 cm, 10 cm width, and height 5 cm, then the blocks that can be made of … sheets.

9. If the father installing ceramic floor tile measures 20 cm x 20 cm above the floor of the living room, rectangular house with the 8 m, then the ceramic tiles that needed a lot of … sheets.

10. Dad called from Wartel to his friend outside the city, starting at 21:06 until 21:11. If the price of 1 pulse phone Rp 250,00 per 30 seconds, then the father must pay phone fees that amounted to … rupiah.

Short answer:

1. V = 56 km / h
2. Average interest rates in 1 month is 12%: 12 = 1%
3. Train travel time is 12 hours.
4. The number of chickens sold = 52 tail
5. Saiful and Gilang Difference marbles = 14 points
6. Price 1 1 / 2 drums of kerosene = Rp 729.000.00
7. Cash price = RP 63.750,00 shoes
8. Many blocks = 15.000 bricks
9. Many ceramic pieces = 1600
10. The amount of money to be paid = Rp 2.500.00

Note:
1$ USD = Rp 10.000,00

Singapore Mathematical Olympiad for Primary Schools 2005

admin — Thu, 03 Feb 2011 03:40:27 +0000

Problem solving is one of the important thing to make our children understand step by step when they are learning math.

Therefore we must have give our kids a lot of math practice questions for more. Here are the questions that you can download for free. Keep to visit this blog to get the latest info from us.

Download ?

Math Problem Solving 2005

Answer Math Problem Solving 2005

Singapore Mathematical Olympiad for Primary Schools 2004

admin — Thu, 03 Feb 2011 03:30:10 +0000

Click here to download: Singapore Mathematical Olympiad for Primary Schools 2004.

We also hava an answer.

Download ?

Free Download Mathematical Olympiad for Primary

Answer Mathematical Olympiad for Primary

Tips for Mathematics Olympiad Participants

admin — Wed, 22 Apr 2009 10:47:17 +0000

The term “olympiad” is used generically to refer to a math contest in which students are asked not to compute numerical answers, but to give proofs of specified statements. (Example: “Prove that 2003 is not the sum of two squares of integers.”) The most famous example is the International Mathematical Olympiad; most countries that participate at the IMO have national olympiads as part of their team selection process. Some areas have additional olympiads at the regional or local level.

The jump from short answers to olympiads is a tough one. Here are some tips for students making this transition.

Practice, practice, practice.
The only way to learn math is by doing.Proofs are essays. The better written a proof is, the more likely it is to be understood. Even such mundane things as grammar, spelling and handwriting are worth a bit of attention.

Define your terms.
If you’re going to use a word in a way that might not be commonly understood, define it precisely. Then stick to your definition!

Read the masters.
No one ever learned how to do good mathematics in a vacuum. When you do practice problems, read the solutions even of the problems you solved.

There’s more than one road.
Different solutions can be equally valid; even when solutions agree in substance, differences in perspective can be significant and valuable.

It’s not over when it’s over.
Don’t hesitate to continue thinking about the problems on a contest after the time ends, or to discuss the problems with others.

Learn from your peers.
They’re smarter than you might have expected.

Learn from the past.
Try to relate new problems to old ones; you may learn something from the similarities, or from the differences.