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Name _________________________
Date______________
Block_____
Math 6: Prime Time Check Up 3 Practice Test
1.
a. Find the prime factorization of 144 using one of the methods you’ve learned in class.
b. Write the prime factorization from problem number 1 in exponential form.
2.
a. Find the prime factorization of 80 using one of the methods you’ve learned in class.
b. Write the prime factorization from problem number 2 in exponential form.
3.
Using the prime factorization from problem numbers 1 and 2, find the GCF of 144 and 80.
4.
Melissa’s Craft store wants to rent between 46 and 50 square yards of space for a big craft show. The space
must be rectangular, and the side lengths must be whole numbers. Find the number between 35 and 40 with
the most factor pairs that give the greatest number of rectangular arrangements.
5.
Two radio stations are playing the #1 hit song “2 Nice to be True” by Anita and the Goody-2-Shoes. WMTH plays
the song every 15 minutes. WMSU plays the song every 25 minutes. Both stations play the song at 3:00PM.
When is the next time the stations will play the song at the same time?
6.
Judy is planning a party for her younger brother. She has 45 prizes and 60 balloons. How many children can she
have at the party so that each child gets an equal number of prizes and an equal number of balloons? Explain
your answer.
A
B
NY
≥7 out of 8
6 out of 8
≤ 5 out of 8
Name _________________________
Date______________
Block_____
Math 6: Prime Time Check Up 3 Practice Test
1. a. Find the prime factorization of 144 using one of the methods you’ve learned in class.
3x3x2x2x2x2
b. Write the prime factorization from problem number 1 in exponential form.
32 x 24
2. a. Find the prime factorization of 80 using one of the methods you’ve learned in class.
2x2x2x2x5
b. Write the prime factorization from problem number 2 in exponential form.
24 x 51
3. Using the prime factorization from problem numbers 1 and 2, find the GCF of 144 and 80.
2 x 2 x 2 x 2 = 16
4. Melissa’s Craft store wants to rent between 46 and 50 square yards of space for a big craft show. The space
must be rectangular, and the side lengths must be whole numbers. Find the number between 35 and 40 with
the most factor pairs that give the greatest number of rectangular arrangements.
46: 1, 2, 23, 46
49: 1, 7, 49
47: 1, 47
50: 1, 2, 5, 10, 25, 50
48 has the most factor pairs.
48: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48
5. Two radio stations are playing the #1 hit song “2 Nice to be True” by Anita and the Goody-2-Shoes. WMTH plays
the song every 15 minutes. WMSU plays the song every 25 minutes. Both stations play the song at 3:00PM.
When is the next time the stations will play the song at the same time?
15: 15, 30, 45, 60, 75, …
25: 25, 50, 75, …
75 minutes past 3:00PM is 4:15PM.
6. Judy is planning a party for her younger brother. She has 45 prizes and 60 balloons. How many children can she
have at the party so that each child gets an equal number of prizes and an equal number of balloons? Explain
your answer.
45: 1, 3, 5, 9, 15, 45
60: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
Judy can have 15 friends at the party.
A
B
NY
≥7 out of 8
6 out of 8
≤ 5 out of 8