MATH 4D October 4, 2015 HOMEWORK 3

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1 MATH 4D October 4, 2015 HOMEWORK 3 1. A package of plastic forks contains 16 forks. A package of plastic knives contains 12 knives. What is the smallest number of packages of each kind you have to buy to get exactly the same number of forks as knives? LCM (Least Common Multiple) 2. Find the LCM and GCF of the following numbers: (When determining GCF think about numbers as a fraction, you simplify) a. 9 and 12 b. 16 and 12; c. 24 and 8; d. 28 and 30; 3. Two bells ring together at 10:45 a.m. One bell rings every 9 minutes and the other every 12 minutes. When will they next ring together? 4. The remainder of is 11, the remainder of is 6. Is divisible by 17? Can you tell without calculating and dividing? 5. The 4-digit number A7A9 (where A stands for some digit) is divisible by 9. What is A? 6. a. What is the smallest number which is divisible by 2, 3, and 4? b. (*)We have a large bag of apples. If we try dividing them evenly among 2, 3, or 4 people, every time there will be 1 apple left. However, they can be evenly divided among 5 people. How many apples are there in a bag (it is known that it contains not more than 70 apples)? 7. Compute: Remember you can have a remainder a. ( ) ( ) ( )415 5 b ( ) ( )

2 8. In some remote village many years ago villagers tamed the dragons. They even started to breed them. Somehow on a weekend day or a holiday the villages had 2 eggs less hatching then on a week day. How many dragons have been hatched on a week day and on a weekend day if for one full week they added 80 dragons to their dragon flock? 9. A boy had 120 cubical blocks. He constructed the following : 10. How many blocks he has left?

3 MATH 4D October 4, 2015 HOMEWORK 3 1. A package of plastic forks contains 16 forks. A package of plastic knives contains 12 knives. What is the smallest number of packages of each kind you have to buy to get exactly the same number of forks as knives? LCM (Least Common Multiple) 2. Find the LCM and GCF of the following numbers: (When determining GCF think about numbers as a fraction, you simplify) a. 9 and 12 b. 16 and 12; c. 24 and 8; d. 28 and 30; 3. Two bells ring together at 10:45 a.m. One bell rings every 9 minutes and the other every 12 minutes. When will they next ring together? 4. The remainder of is 11, the remainder of is 6. Is divisible by 17? Can you tell without calculating and dividing? 5. The 4-digit number A7A9 (where A stands for some digit) is divisible by 9. What is A? 6. a. What is the smallest number which is divisible by 2, 3, and 4? b. (*)We have a large bag of apples. If we try dividing them evenly among 2, 3, or 4 people, every time there will be 1 apple left. However, they can be evenly divided among 5 people. How many apples are there in a bag (it is known that it contains not more than 70 apples)? 7. Compute: Remember you can have a remainder a. ( ) ( ) ( )415 5 b ( ) ( )

4 8. In some remote village many years ago villagers tamed the dragons. They even started to breed them. Somehow on a weekend day or a holiday the villages had 2 eggs less hatching then on a week day. How many dragons have been hatched on a week day and on a weekend day if for one full week they added 80 dragons to their dragon flock? 9. A boy had 120 cubical blocks. He constructed the following : 10. How many blocks he has left?

5 MATH 4D October 4, 2015 HOMEWORK 3 1. A package of plastic forks contains 16 forks. A package of plastic knives contains 12 knives. What is the smallest number of packages of each kind you have to buy to get exactly the same number of forks as knives? LCM (Least Common Multiple) 2. Find the LCM and GCF of the following numbers: (When determining GCF think about numbers as a fraction, you simplify) a. 9 and 12 b. 16 and 12; c. 24 and 8; d. 28 and 30; 3. Two bells ring together at 10:45 a.m. One bell rings every 9 minutes and the other every 12 minutes. When will they next ring together? 4. The remainder of is 11, the remainder of is 6. Is divisible by 17? Can you tell without calculating and dividing? 5. The 4-digit number A7A9 (where A stands for some digit) is divisible by 9. What is A? 6. a. What is the smallest number which is divisible by 2, 3, and 4? b. (*)We have a large bag of apples. If we try dividing them evenly among 2, 3, or 4 people, every time there will be 1 apple left. However, they can be evenly divided among 5 people. How many apples are there in a bag (it is known that it contains not more than 70 apples)? 7. Compute: Remember you can have a remainder a. ( ) ( ) ( )415 5 b ( ) ( )

6 8. In some remote village many years ago villagers tamed the dragons. They even started to breed them. Somehow on a weekend day or a holiday the villages had 2 eggs less hatching then on a week day. How many dragons have been hatched on a week day and on a weekend day if for one full week they added 80 dragons to their dragon flock? 9. A boy had 120 cubical blocks. He constructed the following : 10. How many blocks he has left?

7 MATH 4D October 4, 2015 HOMEWORK 3 1. A package of plastic forks contains 16 forks. A package of plastic knives contains 12 knives. What is the smallest number of packages of each kind you have to buy to get exactly the same number of forks as knives? LCM (Least Common Multiple) 2. Find the LCM and GCF of the following numbers: (When determining GCF think about numbers as a fraction, you simplify) a. 9 and 12 b. 16 and 12; c. 24 and 8; d. 28 and 30; 3. Two bells ring together at 10:45 a.m. One bell rings every 9 minutes and the other every 12 minutes. When will they next ring together? 4. The remainder of is 11, the remainder of is 6. Is divisible by 17? Can you tell without calculating and dividing? 5. The 4-digit number A7A9 (where A stands for some digit) is divisible by 9. What is A? 6. a. What is the smallest number which is divisible by 2, 3, and 4? b. (*)We have a large bag of apples. If we try dividing them evenly among 2, 3, or 4 people, every time there will be 1 apple left. However, they can be evenly divided among 5 people. How many apples are there in a bag (it is known that it contains not more than 70 apples)? 7. Compute: Remember you can have a remainder a. ( ) ( ) ( )415 5 b ( ) ( )

8 8. In some remote village many years ago villagers tamed the dragons. They even started to breed them. Somehow on a weekend day or a holiday the villages had 2 eggs less hatching then on a week day. How many dragons have been hatched on a week day and on a weekend day if for one full week they added 80 dragons to their dragon flock? 9. A boy had 120 cubical blocks. He constructed the following : 10. How many blocks he has left?

9 MATH 4D October 4, 2015 HOMEWORK 3 1. A package of plastic forks contains 16 forks. A package of plastic knives contains 12 knives. What is the smallest number of packages of each kind you have to buy to get exactly the same number of forks as knives? LCM (Least Common Multiple) 2. Find the LCM and GCF of the following numbers: (When determining GCF think about numbers as a fraction, you simplify) a. 9 and 12 b. 16 and 12; c. 24 and 8; d. 28 and 30; 3. Two bells ring together at 10:45 a.m. One bell rings every 9 minutes and the other every 12 minutes. When will they next ring together? 4. The remainder of is 11, the remainder of is 6. Is divisible by 17? Can you tell without calculating and dividing? 5. The 4-digit number A7A9 (where A stands for some digit) is divisible by 9. What is A? 6. a. What is the smallest number which is divisible by 2, 3, and 4? b. (*)We have a large bag of apples. If we try dividing them evenly among 2, 3, or 4 people, every time there will be 1 apple left. However, they can be evenly divided among 5 people. How many apples are there in a bag (it is known that it contains not more than 70 apples)? 7. Compute: Remember you can have a remainder a. ( ) ( ) ( )415 5 b ( ) ( )

10 8. In some remote village many years ago villagers tamed the dragons. They even started to breed them. Somehow on a weekend day or a holiday the villages had 2 eggs less hatching then on a week day. How many dragons have been hatched on a week day and on a weekend day if for one full week they added 80 dragons to their dragon flock? 9. A boy had 120 cubical blocks. He constructed the following : 10. How many blocks he has left?

11 MATH 4D October 4, 2015 HOMEWORK 3 1. A package of plastic forks contains 16 forks. A package of plastic knives contains 12 knives. What is the smallest number of packages of each kind you have to buy to get exactly the same number of forks as knives? LCM (Least Common Multiple) 2. Find the LCM and GCF of the following numbers: (When determining GCF think about numbers as a fraction, you simplify) a. 9 and 12 b. 16 and 12; c. 24 and 8; d. 28 and 30; 3. Two bells ring together at 10:45 a.m. One bell rings every 9 minutes and the other every 12 minutes. When will they next ring together? 4. The remainder of is 11, the remainder of is 6. Is divisible by 17? Can you tell without calculating and dividing? 5. The 4-digit number A7A9 (where A stands for some digit) is divisible by 9. What is A? 6. a. What is the smallest number which is divisible by 2, 3, and 4? b. (*)We have a large bag of apples. If we try dividing them evenly among 2, 3, or 4 people, every time there will be 1 apple left. However, they can be evenly divided among 5 people. How many apples are there in a bag (it is known that it contains not more than 70 apples)? 7. Compute: Remember you can have a remainder a. ( ) ( ) ( )415 5 b ( ) ( )

12 8. In some remote village many years ago villagers tamed the dragons. They even started to breed them. Somehow on a weekend day or a holiday the villages had 2 eggs less hatching then on a week day. How many dragons have been hatched on a week day and on a weekend day if for one full week they added 80 dragons to their dragon flock? 9. A boy had 120 cubical blocks. He constructed the following : 10. How many blocks he has left?

13 MATH 4D October 4, 2015 HOMEWORK 3 1. A package of plastic forks contains 16 forks. A package of plastic knives contains 12 knives. What is the smallest number of packages of each kind you have to buy to get exactly the same number of forks as knives? LCM (Least Common Multiple) 2. Find the LCM and GCF of the following numbers: (When determining GCF think about numbers as a fraction, you simplify) a. 9 and 12 b. 16 and 12; c. 24 and 8; d. 28 and 30; 3. Two bells ring together at 10:45 a.m. One bell rings every 9 minutes and the other every 12 minutes. When will they next ring together? 4. The remainder of is 11, the remainder of is 6. Is divisible by 17? Can you tell without calculating and dividing? 5. The 4-digit number A7A9 (where A stands for some digit) is divisible by 9. What is A? 6. a. What is the smallest number which is divisible by 2, 3, and 4? b. (*)We have a large bag of apples. If we try dividing them evenly among 2, 3, or 4 people, every time there will be 1 apple left. However, they can be evenly divided among 5 people. How many apples are there in a bag (it is known that it contains not more than 70 apples)? 7. Compute: Remember you can have a remainder a. ( ) ( ) ( )415 5 b ( ) ( )

14 8. In some remote village many years ago villagers tamed the dragons. They even started to breed them. Somehow on a weekend day or a holiday the villages had 2 eggs less hatching then on a week day. How many dragons have been hatched on a week day and on a weekend day if for one full week they added 80 dragons to their dragon flock? 9. A boy had 120 cubical blocks. He constructed the following : 10. How many blocks he has left?

15 MATH 4D October 4, 2015 HOMEWORK 3 1. A package of plastic forks contains 16 forks. A package of plastic knives contains 12 knives. What is the smallest number of packages of each kind you have to buy to get exactly the same number of forks as knives? LCM (Least Common Multiple) 2. Find the LCM and GCF of the following numbers: (When determining GCF think about numbers as a fraction, you simplify) a. 9 and 12 b. 16 and 12; c. 24 and 8; d. 28 and 30; 3. Two bells ring together at 10:45 a.m. One bell rings every 9 minutes and the other every 12 minutes. When will they next ring together? 4. The remainder of is 11, the remainder of is 6. Is divisible by 17? Can you tell without calculating and dividing? 5. The 4-digit number A7A9 (where A stands for some digit) is divisible by 9. What is A? 6. a. What is the smallest number which is divisible by 2, 3, and 4? b. (*)We have a large bag of apples. If we try dividing them evenly among 2, 3, or 4 people, every time there will be 1 apple left. However, they can be evenly divided among 5 people. How many apples are there in a bag (it is known that it contains not more than 70 apples)? 7. Compute: Remember you can have a remainder a. ( ) ( ) ( )415 5 b ( ) ( )

16 8. In some remote village many years ago villagers tamed the dragons. They even started to breed them. Somehow on a weekend day or a holiday the villages had 2 eggs less hatching then on a week day. How many dragons have been hatched on a week day and on a weekend day if for one full week they added 80 dragons to their dragon flock? 9. A boy had 120 cubical blocks. He constructed the following : 10. How many blocks he has left?

17 MATH 4D October 4, 2015 HOMEWORK 3 1. A package of plastic forks contains 16 forks. A package of plastic knives contains 12 knives. What is the smallest number of packages of each kind you have to buy to get exactly the same number of forks as knives? LCM (Least Common Multiple) 2. Find the LCM and GCF of the following numbers: (When determining GCF think about numbers as a fraction, you simplify) a. 9 and 12 b. 16 and 12; c. 24 and 8; d. 28 and 30; 3. Two bells ring together at 10:45 a.m. One bell rings every 9 minutes and the other every 12 minutes. When will they next ring together? 4. The remainder of is 11, the remainder of is 6. Is divisible by 17? Can you tell without calculating and dividing? 5. The 4-digit number A7A9 (where A stands for some digit) is divisible by 9. What is A? 6. a. What is the smallest number which is divisible by 2, 3, and 4? b. (*)We have a large bag of apples. If we try dividing them evenly among 2, 3, or 4 people, every time there will be 1 apple left. However, they can be evenly divided among 5 people. How many apples are there in a bag (it is known that it contains not more than 70 apples)? 7. Compute: Remember you can have a remainder a. ( ) ( ) ( )415 5 b ( ) ( )

18 8. In some remote village many years ago villagers tamed the dragons. They even started to breed them. Somehow on a weekend day or a holiday the villages had 2 eggs less hatching then on a week day. How many dragons have been hatched on a week day and on a weekend day if for one full week they added 80 dragons to their dragon flock? 9. A boy had 120 cubical blocks. He constructed the following : 10. How many blocks he has left?

19 MATH 4D October 4, 2015 HOMEWORK 3 1. A package of plastic forks contains 16 forks. A package of plastic knives contains 12 knives. What is the smallest number of packages of each kind you have to buy to get exactly the same number of forks as knives? LCM (Least Common Multiple) 2. Find the LCM and GCF of the following numbers: (When determining GCF think about numbers as a fraction, you simplify) a. 9 and 12 b. 16 and 12; c. 24 and 8; d. 28 and 30; 3. Two bells ring together at 10:45 a.m. One bell rings every 9 minutes and the other every 12 minutes. When will they next ring together? 4. The remainder of is 11, the remainder of is 6. Is divisible by 17? Can you tell without calculating and dividing? 5. The 4-digit number A7A9 (where A stands for some digit) is divisible by 9. What is A? 6. a. What is the smallest number which is divisible by 2, 3, and 4? b. (*)We have a large bag of apples. If we try dividing them evenly among 2, 3, or 4 people, every time there will be 1 apple left. However, they can be evenly divided among 5 people. How many apples are there in a bag (it is known that it contains not more than 70 apples)? 7. Compute: Remember you can have a remainder a. ( ) ( ) ( )415 5 b ( ) ( )

20 8. In some remote village many years ago villagers tamed the dragons. They even started to breed them. Somehow on a weekend day or a holiday the villages had 2 eggs less hatching then on a week day. How many dragons have been hatched on a week day and on a weekend day if for one full week they added 80 dragons to their dragon flock? 9. A boy had 120 cubical blocks. He constructed the following : 10. How many blocks he has left?