This problem consist of two sections, section A and section B. Section A consist of 12 questions. Each correct answer is worth 5 points. Then, section B, 3 question. Each answer is worth 20 points.

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Download International Mathematics Competition 2008

1. Sam was buying hot dogs and hot dog buns for a backyard barbeque. Hot Dogs come in packs of 16, but buns come in packs of 12. How many packs of each will Sam have to buy so that there are no hot dogs or buns left over?

2. A florist has 72 roses, 84 tulips and 48 orchids that she wants to use to create bouquets. What is the largest number of identical bouquets she can put together without having any  owers left over?

3. Three alarm clocks are set o at the same time. If the rst one beeps every 9
seconds, the second one beeps every 12 seconds and the third one beeps every 15 seconds, how long will it be until they beep at the same time?

4. Vince has three pieces of rope with lengths of 300 cm, 312 cm and 396 cm. He wants to cut the three pieces of rope into smaller pieces of equal length with none left over.
(a) What is the greatest possible length of each of the smaller pieces of rope?
(b) How many of the smaller pieces of rope will he have altogether?

5. Two flashing signs are turned on at the same time. One sign flashes every 4
seconds and the other flashes every 6 seconds. How many times will they
flash at the same time in 1 minute?

6. Valerie is cutting a huge block of cheese into smaller cubes for her kids’ snack time. If the block of cheese measures 15 cm by 30 cm by 42 cm and each cube of cheese has a whole number of centimetres as a side length, what is the size of the largest cubes she can cut the block into so there is no leftover cheese?

7. Joe lists the following fractions: 1/56; 2/56; ….  55/56;56/56
He then crosses out any of them that are not in lowest form. How many fractions are left uncrossed once he is done?

8. (a) When is the least common multiple of two numbers a and b equal to axb?
(b) When is the least common multiple of two numbers a and b equal to either
a or b?

9. The gcd of two numbers is 30, and the lcm is 840. If one of the numbers is 120, what is the other number?

10. If a number a is a factor of b and a factor of c, is a a factor of b + c? Explain.

Answer:

1. 3 packs of hot dogs and 4 packs of buns
2. 12 bouquets each consisting of 6 roses, 7 tulips, and 4 orchids
3. 180 seconds
4. (a) 12 cm
(b) 84 smaller pieces of rope
5. 5 times
6. 3 cm x 3 cm x 3 cm
7. 24
8. (a) when gcd(a; b) = 1
(b) when a divides b or b divides a
9. 210
10. Yes.

What is the circumference of the triangle ?

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Answer:
90 cm

From the picture above, will set up a pyramid (square pyramid) by connecting each point of the triangle top. If after the formation of a high pyramid paramida note that these are 4 cm. What area of the entire surface (side) of the pyramid ?

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Answer:
96 cm²

Given that the distance of a place A to place B is 10 km and the C right in the middle of the line AB. Determine how the difference in distance traveled by the first choice and the distance traveled by the second option !

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Answer:
The difference is 0 (zero)

A. 20^o
B. 80^o
C. 100^o
D. 120^o

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Answer:
B. 80^o

Problem 2:
The prime numbers between 10 and 20 are added together to form the number Q. What is the largest prime divisor of Q?
A. 2
B. 3
C. 5
E. 7

Do you want to know the answer ?
Answer:
Problem 1: C. 120
Problem 2: C. 5

Answer:
$84

Order the following from least to greates:
1/2, 0.25, 1/6, -0.5, 0.3, -2

Answer:
-2, -0.5, 1/6, 0.25, 0.3, 1/2

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1.Draw quadrilateral ABCD in the plane coordinates with the provisions of point A (2, 1), B (-1, 2), C (-2, 2) and D (1, -2)!

2.Mobile phone ringing every 12 minutes and phone B rings every 6 minutes. If the phone rings with at 08.20 o’clock at how the phone will ring together again?

3.My mother bought 3 / 5 meter tape. Ribbon was given to Ana ¼ meters. Then she bought another 3 / 2 meters. How many yards ribbon Mother now?

4.The distance city A to city B in the map 10 cm. Calculate the actual distance given map scale 1: 1.000.0000!

5. The distance of Semarang to Kudus  is 58 km. Arman motorcycles from Semarang and 07.45 o’clock until 09.45 o’clock Holy. What is the average speed of travel Arman?

6.Farid has 6 fruit rope, each length of rope 70 cm, 200 mm, 5000 mm, 20 cm, 300 mm and 10 cm. Of the six strings are connected into 2 pieces the same length of rope. What is the length of each string?

7.The comparison aged between father and mother age is 3: 2. If the 42 year old mother, calculate the age of my father!

8.Ani have some money. 5 / 9 of the money was given to his brother. Then Lady Ani gives the amount of money equal to 8 / 9 part of the money Ani. How much money Ani now, if the money first Ani USD $ 6000.00?

9. Father’s footsteps width is 40 cm. Meanwhile, younger brother’s footsteps 32 cm. The two walked together to the place of worship. Which steps both jointly set foot into the ground?

10. One of traders have 55 kg of rice. A total of 4 / 5 part of the rice sold. How many kg of rice that has not sold?

Regards
Istiyanto