Name: 
 

Chapter 7 Study Guide


Multiple Choice
Identify the choice that best completes the statement or answers the question.
 

 1. 
Which number is prime?
a.
33
b.
41
c.
49
d.
51
 

 2. 
Which is a composite number?
a.
11
b.
29
c.
57
d.
61
 

 3. 
At CD Shack, all used CDs are the same price. Nathan spent $32 and Kayla spent $44 on used CDs. What is the most each used CD could cost?
a.
$2
b.
$4
c.
$8
d.
$11
 

 4. 
Savannah wants to tile behind her sink using green and beige tiles of the same size. She will use 24 tiles in all, 11 green and 13 beige. What fraction of the tiles will be green?
a.
mc004-1.jpg
b.
mc004-2.jpg
c.
mc004-3.jpg
d.
mc004-4.jpg
 

 5. 
Alyssa wants to make a collage out of photographs. She will use 17 photographs in all, 12 black-and-white and 5 color. What fraction of the photographs will be black-and-white?
a.
mc005-1.jpg
b.
mc005-2.jpg
c.
mc005-3.jpg
d.
mc005-4.jpg
 

 6. 
What fraction of the letters below are vowels?

mc006-1.jpg
a.
mc006-2.jpg
b.
mc006-3.jpg
c.
mc006-4.jpg
d.
mc006-5.jpg
 

 7. 
Which two fractions are equivalent to mc007-1.jpg?
a.
mc007-2.jpg, mc007-3.jpg
b.
mc007-4.jpg, mc007-5.jpg
c.
mc007-6.jpg, mc007-7.jpg
d.
mc007-8.jpg, mc007-9.jpg
 

 8. 
Which shows mc008-1.jpg in simplest form?
a.
mc008-2.jpg
b.
mc008-3.jpg
c.
mc008-4.jpg
d.
mc008-5.jpg
 

 9. 
Pearce made a conjecture that any number ending in four will be divisible by 4. Which of the following best describes whether or not the conjecture is reasonable?
a.
Yes, it is reasonable because 24, 44, and 64 are all divisible by 4.
b.
Yes, it is reasonable because a number that ends in 4 will be always be even.
c.
No, it is not reasonable because 14 is not divisible by 4.
d.
No, it is not reasonable because 8, 12, and 16 do not end in 4.
 

 10. 
Mackenzie made a conjecture that any number multiplied by 9 will have a product that is odd. Which of the following best describes whether or not the conjecture is reasonable?
a.
Yes, it is reasonable because a number that ends in 9 will be always be odd.     
b.
Yes, it is reasonable because 9 x 3, 9 x 5, and 9 x 9 are odd.
c.
No, it is not reasonable because 15, 21, and 33 are not multiples of 9.
d.
No, it is not reasonable because 9 x 2 is not odd.
 

 11. 
Noah made a conjecture that any number ending in zero will be divisible by 5. Which of the following best describes whether or not the conjecture is reasonable?
a.
No, it is not reasonable because 25, 35, and 45 do not end in 0.
b.
No, it is not reasonable because 5 is an odd number, but a number ending in 0 is even.
c.
Yes, it is reasonable because 30, 40, and 60 are all divisible by 5.
d.
Yes, it is reasonable because any number ending in 0 is divisible by 10, or 5 x 2.
 

 12. 
Cade wants to cut a 23-inch piece of wire into shorter pieces. Which is the only way to cut the wire into equal size pieces?
a.
cut it equally into 5-inch pieces
c.
cut it equally into 2-inch pieces
b.
cut it equally into 3-inch pieces
d.
cut it equally into 1-inch pieces
 

 13. 
Which is a composite number?
a.
7
b.
17
c.
27
d.
37
 

 14. 
Which shows the prime factorization of 50?
a.
2 mc014-1.jpg 5mc014-2.jpg
b.
2 mc014-3.jpg 5
c.
22 mc014-4.jpg 5
d.
2 mc014-5.jpg 25
 

 15. 
What is the greatest common factor of 28 and 70?
a.
2
b.
4
c.
7
d.
14
 

 16. 
At the used book store, all used mystery novels are the same price. Sedgewick spent $24 and Dee spent $40 on used mystery novels. What is the most each used mystery novel could cost?
a.
$40
b.
$8
c.
$4
d.
$2
 

 17. 
Use prime factorization to find the GCF of 45 and 135.
a.
135
b.
45
c.
15
d.
5
 

 18. 
Tommy wants to lay brick down for his patio using gray and white bricks of the same size. He will use 32 bricks in all, 15 gray and 17 white. What fraction of the bricks will be gray?
a.
mc018-1.jpg
b.
mc018-2.jpg
c.
mc018-3.jpg
d.
mc018-4.jpg
 

 19. 
Use the table below. On which two days did Ian read the same amount of time?

TIME READ BY IAN LAST WEEK
Day
Thursday
Friday
Saturday
Sunday
Time (hours)
mc019-1.jpg
mc019-2.jpg
mc019-3.jpg
mc019-4.jpg

a.
Friday and Saturday
c.
Thursday and Friday
b.
Friday and Sunday
d.
Thursday and Sunday
 

 20. 
Ninety-one out of 117 students knew that Missouri was nicknamed the Show Me State. About what fraction of the students knew the nickname?
a.
 mc020-1.jpg
b.
mc020-2.jpg
c.
mc020-3.jpg
d.
mc020-4.jpg
 

 21. 
Which two fractions are equivalent to mc021-1.jpg?
a.
mc021-2.jpg, mc021-3.jpg
b.
mc021-4.jpg, mc021-5.jpg
c.
mc021-6.jpg, mc021-7.jpg
d.
mc021-8.jpg, mc021-9.jpg
 

 22. 
Which shows mc022-1.jpg in simplest form?
a.
mc022-2.jpg
b.
mc022-3.jpg
c.
mc022-4.jpg
d.
mc022-5.jpg
 

 23. 
Which shows mc023-1.jpg in simplest form?
a.
mc023-2.jpg
b.
mc023-3.jpg
c.
mc023-4.jpg
d.
mc023-5.jpg
 

 24. 
Which shows mc024-1.jpg in simplest form?
a.
mc024-2.jpg
b.
mc024-3.jpg
c.
mc024-4.jpg
d.
mc024-5.jpg
 

 25. 
Bailey made a conjecture that any number ending in nine will be divisible by 9. Which of the following best describes whether or not the conjecture is reasonable?
a.
No, it is not reasonable because 18, 27, and 36 do not end in 9.
b.
No, it is not reasonable because 19 is not divisible by 9.
c.
Yes, it is reasonable because 99, 189, and 279 are all divisible by 9.
d.
Yes, it is reasonable because 9 can be subtracted from any number ending in 9.
 

 26. 
Molly made a conjecture that any number ending in 2 will be divisible by 8. Which of the following best describes whether or not the conjecture is reasonable?
a.
Yes, it is reasonable because 2 x 4 = 8.
b.
Yes, it is reasonable because 32, 72, and 112 are all divisible by 8.
c.
No, it is not reasonable because 22 is not divisible by 8.
d.
No, it is not reasonable because 8, 16, and 24 do not end in 2.
 

 27. 
Kira made a conjecture that any number ending in 1 will not be divisible by 7. Which of the following best describes whether or not the conjecture is reasonable?
a.
No, it is not reasonable because 21 is divisible by 7.
b.
No, it is not reasonable because 7, 14, and 28 do not end in 1.
c.
Yes, it is reasonable because 11, 31, and 41 are not divisible by 7.
d.
Yes, it is reasonable because a number ending in 1 is less than a number ending in 7.
 

 28. 
Elijah made a conjecture that when any number is multiplied by 10 the product will end in 0. Which of the following best describes whether or not the conjecture is reasonable?
a.
Yes, it is reasonable because a number ending in 0 is divisible by 10.
b.
Yes, it is reasonable because 2 x 10, 6 x 10, and 9 x 10 all end in 0.
c.
No, it is not reasonable because an odd number multiplied by 10 cannot end in 0.
d.
No, it is not reasonable because 2 + 10 does not end in 0.
 



 
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