Download JAMES MARTIN MIDDLE SCHOOL MATH DEPARTMENT 20011

JAMES MARTIN MIDDLE SCHOOL
MATH DEPARTMENT
20011-2012
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Name____________________________________________________ DATE____________________
Prime Time Practice Test A
WORK MUST BE SHOWN FOR CREDIT!!!!
π
Factors/Multiples:
1) List 4 factors of 42. ___ ___ ___ ___
2) List 4 factors of 21. ___ ___ ___ ___
3) What is the greatest common factor of 10 and 35?
4) What is the least common multiple of 6 and 9?
5) What is the least common multiple of 5, 12, and 15?
Prime, Composite & Prime Factorization:
1) Which of the following numbers is a composite number: (May be more than one)
19, 21, 41, 47, 58, 67, 88, 100
2) Make a list of all the prime numbers between 40 and 65.
3) Find the prime factorization of each number.
a) 125
b) 90
c) 210
4) Find the number with the given prime factorization.
5) Use prime factorization to find the LCM of 18 and 24.
EOG Style Questions
1) Angie works in a pet store. She needs to divide 42 angelfish, 126 rainbow fish, and 36 goldfish into
aquariums so that each aquarium has the same number of each type of fish, and there are no fish left over.
What is the greatest number of aquariums Angie can fill under these conditions?
2) Mr. Simon wants to make packages of art supplies for his class. Pads of paper come 6 to a box, pencils
come 16 to a box, and erasers come 8 to a box. What is the least amount of boxes of each does he need to
buy to have none left over?
3) Rob set up a three week schedule for his activities. He has to practice soccer every second day, do
homework every day, and clean his room every fifth day. He does all of his chores on the first day. How
many more times (not including the first day) will Paul have to do all three activities on the same day?
4) Maria handed out 125 flyers that gave students the time and location of try outs for the school volleyball
team. What is 125 written in exponential notation?
5) Latisha has two pieces of ribbon she plans to cut. One piece of ribbon is 48 inches and the other is 80
inches. She plans to cut all the ribbon into pieces of equal lengths. What is the greatest possible length of
each piece?
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JAMES MARTIN MIDDLE SCHOOL
MATH DEPARTMENT
20011-2012
∑ ≠
∞
Name____________________________________________________ DATE____________________
Prime Time Practice Test A
WORK MUST BE SHOWN FOR CREDIT!!!!
π
Factors/ Multiples
Factors are numbers that are multiplied by another number to get a product.
1. Pick any 4 from the list Factors of 42: 1, 2, 3, 6, 7, 14, 21, 42
2. Factors of 21: 1, 3, 7, 21
Greatest Common Factor is the largest factor that 2 or more numbers share.
3. Factors of 10: 1, 2, 5, 10 Factors of 35: 1, 5, 7, 35 Largest number in common GCF = 5
Multiples are the product of any number and that whole number
4. Multiples of 6: 6, 12, 18, 24, Multiplies of 9: 9, 18, 27, 36, 45 the smallest number they share is 18
5. Multiples of 5: 5, 10, 15, 20, 25, Multiples of 12: 12, 24, 36, 48, 60 Multiples of 15: 15, 30, 45, 60
They all share 60
Prime, Composite, & Prime Factorization
1. Composite numbers are greater than 1 and have more than 2 whole number factors
21: 1, 3, 7, 21 58: 1, 2, 29, 58 88: 1, 2, 4, 8, 11, 22, 44, 88 100: 1, 2, 4, 5, 10, 20, 25, 50, 100
2. Prime numbers are whole numbers greater than 1 that have exactly two factors 1 and itself
41, 43, 47, 51, 53, 57, 59, 61
3. Use ladder, tree or any other method.
a) 125= 5 x 5 x 5
b) 90 = 2 x 3 x 3 x 5
c) 210 = 2 x 3 x 5 x 7
4. To find the number multiply 2 x 2 x 5 x 7 = 140
5. 18 = 2 x 3 x 3 24 = 2 x 2 x 2 x 3 they have one 2 and one 3 in common so the LCM is 2 x 3 = 6
EOG Style Questions
1. The word greatest tells us to find the GCF
42: 1, 2, 3, 6, 7, 14, 21, 42
126: 1, 2, 3, 6, 7, 18, 21, 42, 63, 126
36: 1, 2, 3, 4, 6, 9, 12, 18, 36
2.
Least amount gives us a hint that w need to find the LCM
6: 6, 12, 18, 24, 30, 36, 42, 48
16: 16, 32, 48, 64
8: 8, 16, 24, 32, 40, 48
3. 2: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20
5: 5, 10, 15, 20
4. 53
5. 48: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48
80: 1, 2, 4, 5, 8, 10, 16, 20, 40, 80
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