Exam
Name___________________________________
SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
Provide an appropriate response.
1)
Do you agree with the following statement? “If the numerator of a fraction is prime and the
denominator is not prime, the fraction cannot be simplified.” If you agree with the
statement, explain your thinking. If you do not agree with it, give an example of a fraction
which can be simplified and whose numerator is prime and whose denominator is not
prime.
1)
2)
The prime factorization for the number X is a · b where a and b represent two different
prime numbers. Is it possible that X could be a number larger than 1500? If not, explain
why not. If it is possible, give an example of such a number and give its prime
factorization.
2)
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Simplify.
3)
15
0
A)
0
B)
Not defined
C)
15
D)
1
15
Find another name for the given number, but with the denominator indicated.
4)
7
24 =?
144
A)
13
144
B)
168
144
C)
42
144
D)
7
144
Find all the factors of the number.
5)
30
A)
1, 5, 6, 30
B)
1, 2, 3, 5, 6, 10, 20, 30
C)
1, 2, 3, 5, 6, 10, 15, 30
D)
5, 6, 10, 30
What part of the set of objects is shaded?
6)
A)
6
10
B)
4
10
C)
4
6
D)
6
4
Provide an appropriate response.
7)
A company with 1080 total employees prepares the following analysis for the length of time its
employees have been with the company. Use the table to answer the question.
What is the ratio of the number of employees working 4 years or less but more than 2 years to the
number of employees working 2 years or less?
A)
305
1080
B)
305
225
C)
1080
305
D)
225
305
Determine if the second number is a factor of the first number.
8)
45; 45
A)
Yes
B)
No
Provide an appropriate response.
9)
Y represents a positive whole number. Tell which of the quantities below is smallest and which is
largest.
A: Y ·1
3
B: Y ·1
4
C: Y ÷1
3
D: Y ÷1
4
A)
Smallest: D; largest: B
B)
Smallest: B; largest: D
C)
Smallest: A; largest: D
D)
Smallest: D; largest: A
10)
Which, if any, of the following statements are true?
A: If a number is divisible by 9, it must be divisible by 3.
B: If a number is divisible by 3, it must be divisible by 9.
10)
A)
A false, B true
B)
A true, B false
C)
A true, B true
D)
A false, B false
Simplify.
11)
75
75
11)
A)
0
B)
75
C)
Not defined
D)
1
Determine if the second number is a factor of the first number.
12)
65; 23
12)
A)
Yes
B)
No
Multiply and simplify.
13)
12
5·15
14
13)
A)
14
15
B)
18
7
C)
27
19
D)
180
70
Find the reciprocal.
14)
1
18
14)
A)
1
18
B)
0
C)
18
D)
1
Provide an appropriate response.
15)
The only consecutive whole numbers that are both prime numbers are and .
15)
A)
1 and 2
B)
2 and 3
C)
0 and 1
D)
6 and 7
What part of the object or set of objects is shaded?
16)
16)
A)
11
6
B)
11
12
C)
1
11
D)
11
1
Use the circle graph to answer the question.
17)
What do teachers do during their summer vacations? The responses of 100 teachers are organized
in the circle graph below. Simplify the fraction representing the number of teachers who
teach summer school.
17)
A)
19
50
B)
7
25
C)
3
10
D)
8
25
Multiply by 1, 2, 3, and so on, to find ten multiples of the number.
18)
2
18)
A)
2, 3, 4, 5, 6, 7, 8, 9, 10, 11
B)
1, 2, 3, 4, 5, 6, 7, 8, 9, 10
C)
2, 4, 6, 8, 10, 12, 14, 16, 18, 20
D)
0, 2, 4, 6, 8, 10, 12, 14, 16, 18
C
19)
75
19)
A)
75, 85, 95, 105, 115, 125, 135, 145, 155, 165
B)
75, 150, 225, 300, 375, 450, 525, 600, 675, 750
C)
75, 175, 275, 375, 475, 575, 675, 775, 875, 975
D)
0, 80, 85, 90, 95, 100, 105, 110, 115, 120
B
D
Multiply.
20)
23 ×2
9
20)
A)
46
9
B)
25
9
C)
2
207
D)
46
207
Multiply by 1, 2, 3, and so on, to find ten multiples of the number.
21)
15
21)
A)
15, 30, 45, 60, 75, 90, 105, 120, 135, 150
B)
0, 15, 30, 45, 60, 75, 90, 105, 120, 135
C)
15, 17, 20, 24, 29, 35, 42, 50, 59, 69
D)
15, 16, 17, 18, 19, 20, 21, 22, 23, 24
Simplify.
22)
2
12
22)
A)
2
7
B)
1
6
C)
2
12
D)
1
12
Find the prime factorization of the number.
23)
198
23)
A)
2·3·3·11
B)
22 ·3·3
C)
2·3·11
D)
2·2·3·3·11
Provide an appropriate response.
24)
If a fraction simplifies to 0, what, if anything can you conclude about its numerator? What, if
anything, can you conclude about its denominator?
24)
A)
Numerator can be anything, denominator is 0.
B)
Numerator is 0, denominator is 0.
C)
Numerator is 0, denominator is 1.
D)
Numerator is 0, denominator is not 0.
Determine whether the number is prime, composite, or neither.
25)
8
25)
A)
Neither
B)
Prime
C)
Composite
C
Find the prime factorization of the number.
26)
122
26)
A)
2·2
B)
2·61
C)
2·2·61
D)
2·59
B
Multiply by 1, 2, 3, and so on, to find ten multiples of the number.
27)
28
27)
A)
28, 29, 30, 31, 32, 33, 34, 35, 36, 37
B)
28, 38, 48, 58, 68, 78, 88, 98, 108, 118
C)
28, 56, 84, 112, 140, 168, 196, 224, 252, 280
D)
28, 30, 33, 37, 42, 48, 55, 63, 72, 82
C
Find another name for the given number, but with the denominator indicated.
28)
4
14 =?
84
28)
A)
336
1176
B)
56
84
C)
4
84
D)
24
84
D
D
Determine whether the first number is divisible by the second number.
29)
6840; 9
29)
A)
Yes
B)
No
30)
Julia preheated her oven for 21 minutes. What fraction of an hour was this? (1 hour = 60 min)
30)
A)
21
60 hr
B)
21
26 hr
C)
20
60 hr
D)
60
21 hr
Simplify.
31)
24
4
31)
A)
1
6
B)
12
2
C)
6
4
D)
6
Multiply.
32)
5
7·3
32)
A)
15
7
B)
8
7
C)
5
21
D)
15
21
Determine whether the first number is divisible by the second number.
33)
433; 6
33)
A)
Yes
B)
No
Identify the numerator and denominator.
34)
13
2
34)
A)
Numerator: 1
Denominator: 2
13
B)
Numerator: 2
Denominator: 13
C)
Numerator: 13
2
Denominator: 1
D)
Numerator: 13
Denominator: 2
Determine whether the number is prime, composite, or neither.
35)
81
35)
A)
Neither
B)
Composite
C)
Prime
Provide an appropriate response.
36)
If a fraction simplifies to 1, what, if anything can you conclude about its numerator and
denominator?
36)
A)
The numerator can be anything, the denominator is 1.
B)
The numerator is smaller than the denominator.
C)
The numerator is 1, the denominator can be anything.
D)
The numerator and denominator are equal.
Find the reciprocal.
37)
4
5
37)
A)
1
4
B)
5
1
C)
5
4
D)
5
Determine whether the first number is divisible by the second number.
38)
1563; 6
38)
A)
Yes
B)
No
Find all the factors of the number.
39)
72
39)
A)
1, 2, 3, 4, 5, 6, 7, 8, 9, 12, 18, 24, 36, 72
B)
1, 2, 3, 4, 6, 8, 9, 12, 24, 36, 72
C)
1, 2, 3, 4, 6, 9, 12, 14, 18, 24, 36, 72
D)
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
Provide an appropriate response.
40)
What part of an inch is highlighted?
40)
A)
16
26
B)
26
32
C)
26
16
D)
32
26
Determine whether the first number is divisible by the second number.
41)
303; 13
41)
A)
Yes
B)
No
Use = or
for
to write a true sentence.
42)
4
311
9
42)
A)
=
B)
Simplify.
43)
19 –19
264
43)
A)
Not defined
B)
19
C)
1
264
D)
0
Provide an appropriate response.
44)
There are 5 people on a committee, and 3 of them are women. What is the ratio of the number of
women to the number of men on the committee?
44)
A)
2
5
B)
3
5
C)
3
2
D)
2
3
Simplify.
45)
29
1
45)
A)
Not defined
B)
0
C)
29
D)
1
Determine whether the number is divisible by 2, 3, 4, 5, 6, 8, 9, and/or 10.
46)
2706
46)
A)
2, 3, 6
B)
3, 4, 6
C)
4, 5, 6
D)
2, 3, 4
Multiply and simplify.
47)
3
10 ·5
10
47)
A)
3
5
B)
3
4
C)
3
20
D)
2
5
Solve and simplify.
48)
7
5· y =49
5
48)
A)
343
25
B)
35
C)
7
D)
1
7
Solve.
49)
A land developer wants to develop 8 acres of land. Each lot in the development is to be 4
11 of an
acre. How many lots will the land developer have in the 8 acres?
49)
A)
51
2 lots
B)
2
11 lot
C)
32
11 lot(s)
D)
22 lots
Multiply and simplify.
50)
72 ·3
8
50)
A)
1729
80
B)
216
8
C)
24
D)
27
Simplify.
51)
0
8
51)
A)
8
B)
0
C)
Not defined
D)
1
What part of the set of objects is shaded?
52)
52)
A)
3
4
B)
3
7
C)
4
7
D)
7
4
Determine whether the number is divisible by 2, 3, 4, 5, 6, 8, 9, and/or 10.
53)
16,031
53)
A)
None
B)
3
C)
5
D)
3, 5
Multiply.
54)
3
8×5
7
54)
A)
8
15
B)
15
56
C)
8
56
D)
15
40
Use = or
for
to write a true sentence.
55)
1
23
7
55)
A)
B)
=
Use the circle graph to answer the question.
56)
How did a family spend a total of 20,000 miles driving to different locations for various purposes
over the course of one year? Simplify the fraction representing the number of Social/recreational
miles driven.
56)
A)
8
25
B)
13
100
C)
3
25
D)
3
50
B
Determine whether the number is prime, composite, or neither.
57)
1
57)
A)
Composite
B)
Neither
C)
Prime
B
A
Multiply.
58)
4
7·4
9
58)
A)
1
63
B)
4
63
C)
8
16
D)
16
63
Solve.
59)
Darren has traveled 7
8 of his total trip. He has traveled 21 miles so far. How many more miles does
he have to travel?
59)
A)
3 miles
B)
None of these
C)
25
8 miles
D)
24 miles
Use = or
for
to write a true sentence.
60)
70
100 700
1000
60)
A)
B)
=
Provide an appropriate response.
61)
There are 14 people on a committee, and 5 of them are women. What is the ratio of the number of
men to the number of women on the committee?
61)
A)
5
14
B)
5
9
C)
9
14
D)
9
5
Simplify.
62)
40
79 –79
62)
A)
40
79
B)
0
C)
Not defined
D)
40
Solve.
63)
A storehouse stores 590 different inventory items. 3
10 of these items are perishable. How many of
the inventory items are perishable?
63)
A)
180 items
B)
177 items
C)
59 items
D)
174 items
Multiply by 1, 2, 3, and so on, to find ten multiples of the number.
64)
200
64)
A)
200, 210, 220, 230, 240, 250, 260, 270, 280, 290
B)
0, 200, 400, 600, 800, 1000, 1200, 1400, 1600, 1800
C)
200, 250, 300, 350, 400, 450, 500, 550, 600, 650
D)
200, 400, 600, 800, 1000, 1200, 1400, 1600, 1800, 2000
Multiply and simplify.
65)
12 ·3
5
65)
A)
36
60
B)
36
5
C)
3
60
D)
60
What part of the set of objects is shaded?
66)
66)
A)
6
8
B)
8
2
C)
2
8
D)
2
6
Determine whether the number is prime, composite, or neither.
67)
19
67)
A)
Composite
B)
Neither
C)
Prime
68)
There are 35 students in Jose’s class. 1
5 of the students are science majors. How many students are
science majors?
68)
A)
28 students
B)
5 students
C)
7 students
D)
35 students
Simplify.
69)
208
1
69)
A)
1
B)
0
C)
Not defined
D)
208
Provide an appropriate response.
70)
Give fraction notation for the amount of gas (a) in the tank and (b) used from a full tank.
70)
A)
(a) 6
10; (b) 4
10
B)
(a) 5
8; (b) 3
8
C)
(a) 4
10; (b) 6
10
D)
(a) 3
8; (b) 5
8
71)
Greg’s water bottle can hold 5
7 L. When he starts on his bicycle race, his water bottle is 1
3 full. How
much water does he have?
71)
A)
5
10 L
B)
6
10 L
C)
6
3 L
D)
5
21 L
Multiply.
72)
4·2
7
72)
A)
8
28
B)
2
28
C)
6
7
D)
8
7
What part of the object or set of objects is shaded?
73)
73)
A)
5
4
B)
5
3
C)
5
8
D)
3
5
Divide and simplify.
74)
16
5÷2
74)
A)
8
5
B)
32
5
C)
8
D)
5
8
75)
A child’s dose of medicine is 1
6 of a pre–measured dose cup. If the bottle of medicine is the size of 5
dose cups, how many children’s doses are there in the bottle?
75)
A)
11 doses
B)
5
6 dose(s)
C)
30 doses
D)
51
6 doses
Multiply and simplify.
76)
15
21 ·3
9
76)
A)
45
189
B)
5
21
C)
9
17
D)
2
21
Determine whether the number is divisible by 2, 3, 4, 5, 6, 8, 9, and/or 10.
77)
9455
77)
A)
5
B)
5, 10
C)
10
D)
2, 5, 10
Multiply and simplify.
78)
1
6·10
78)
A)
10
60
B)
1
60
C)
10
10
D)
5
3
Determine whether the first number is divisible by the second number.
79)
475; 5
79)
A)
Yes
B)
No
Solve.
80)
One of 17 initial applicants for a certain job will receive a first interview. Of those who receive a
first interview, one of 12 will receive a second interview. What fraction of initial applicants will
receive a second interview?
80)
A)
2
29
B)
1
204
C)
2
204
D)
1
29
Multiply.
81)
1
4×1
10
81)
A)
1
40
B)
2
14
C)
2
40
D)
1
14
Multiply and simplify.
82)
1
6·3
8
82)
A)
2
7
B)
1
16
C)
3
48
D)
3
11
Find the reciprocal.
83)
1
7
83)
A)
1
B)
7
C)
1
7
D)
0
Provide an appropriate response.
84)
There are 13 people on a committee, and 7 of them are women. What is the ratio of the number of
men to the total number of people on the committee?
84)
A)
6
13
B)
7
6
C)
7
13
D)
6
7
Solve.
85)
On a map, 1 in. represents 600 miles. How much does 3
4 in. represent?
85)
A)
460 mi
B)
450 mi
C)
440 mi
D)
800 mi
What part of the object or set of objects is shaded?
86)
86)
A)
7
4
B)
7
8
C)
3
4
D)
1
7
Determine whether the number is divisible by 2, 3, 4, 5, 6, 8, 9, and/or 10.
87)
15,340
87)
A)
4, 5
B)
4, 5, 10
C)
2, 4, 5, 10
D)
2, 5
Solve.
88)
A company has 12,600 employees. Of these, 1
4 drive alone to work, 1
6 car pool, 1
8 use public
transportation, 1
9 cycle, and the remainder use other methods of transportation. How many
employees use each method of transportation?
88)
A)
Drive alone: 315; car pool: 2100; public transportation: 1575; cycle: 1400; other: 4375
B)
Drive alone: 3150; car pool: 2100; public transportation: 1575; cycle: 1400; other: 4375
C)
Drive alone: 3250; car pool: 2100; public transportation: 1475; cycle: 1400; other: 1000
D)
Drive alone: 3150; car pool: 2100; public transportation: 1575; cycle: 1400; other: 1400
What part of the set of objects is shaded?
89)
89)
A)
6
2
B)
4
2
C)
4
6
D)
2
6
Find the prime factorization of the number.
90)
22
90)
A)
2·11
B)
2 ·2·2
C)
2·2· 5
D)
2·12
Multiply.
91)
2·1
5
91)
A)
2
5
B)
1
10
C)
2
10
D)
3
5
Determine whether the number is divisible by 2, 3, 4, 5, 6, 8, 9, and/or 10.
92)
713
92)
A)
3
B)
None
C)
3, 5
D)
3, 9
Solve.
93)
A bag of chips is 24 ounces. A serving size is 3
4 ounce. How many servings are in the bag of chips?
93)
A)
18 servings
B)
63
4 servings
C)
91
3 servings
D)
32 servings
Provide an appropriate response.
94)
There are 11 people on a committee, and 2 of them are women. What is the ratio of the number of
women to the total number of people on the committee?
94)
A)
9
2
B)
2
9
C)
9
11
D)
2
11
Use = or
for
to write a true sentence.
95)
1
32
6
95)
A)
=
B)
Simplify.
96)
9
9
96)
A)
9
B)
1
C)
Not defined
D)
0
What part of the set of objects is shaded?
97)
97)
A)
7
3
B)
4
7
C)
4
3
D)
3
7
Use = or
for
to write a true sentence.
98)
3
69
17
98)
A)
=
B)
Divide and simplify.
99)
3
4÷7
8
99)
A)
7
6
B)
6
7
C)
21
32
D)
32
21
Find all the factors of the number.
100)
56
100)
A)
2, 4, 7, 8, 14, 28
B)
1, 2, 3, 4, 7, 8, 14, 18, 28, 56
C)
1, 2, 4, 7, 8, 14, 18, 28, 56
D)
1, 2, 4, 7, 8, 14, 28, 56
Determine whether the first number is divisible by the second number.
101)
7784; 26
101)
A)
Yes
B)
No
Find all the factors of the number.
102)
28
102)
A)
1, 2, 4, 7, 8, 14, 28
B)
1, 2, 7, 14, 28
C)
2, 7, 14, 28
D)
1, 2, 4, 7, 14, 28
Simplify.
103)
30
10
103)
A)
6
2
B)
1
3
C)
3
10
D)
3
Determine whether the number is divisible by 2, 3, 4, 5, 6, 8, 9, and/or 10.
104)
13,400
104)
A)
2, 4, 5, 8
B)
2, 5, 8, 10
C)
2, 5, 4, 8, 10
D)
2, 4, 5
Simplify.
105)
30
50
105)
A)
3
10
B)
30
50
C)
10
5
D)
3
5
Solve and simplify.
106)
x ·4
21 =6
35
106)
A)
2
3
B)
126
140
C)
8
245
D)
9
10
Determine whether the first number is divisible by the second number.
107)
3990; 19
107)
A)
Yes
B)
No
Multiply and simplify.
108)
15
20 ·1
20
108)
A)
3
1280
B)
2
5
C)
3
80
D)
15
Provide an appropriate response.
109)
Fill in the blank with “always greater than,” “sometimes greater than,” “always less than, or “can not
tell,” whichever response is correct. When dividing a fraction by 3
5, the answer is the fraction.
109)
A)
Cannot tell without knowing the fraction
B)
Always less than
C)
Sometimes greater than
D)
Always greater than
Find another name for the given number, but with the denominator indicated.
110)
11
18 =?
324
110)
A)
11
324
B)
29
324
C)
121
324
D)
198
324
Use the circle graph to answer the question.
111)
How did a family spend a total of 20,000 miles driving to different locations for various purposes
over the course of one year? Simplify the fraction representing the number of Vacation miles
driven.
111)
A)
3
25
B)
8
25
C)
3
50
D)
1
50
Multiply.
112)
1
15 ×2
15
112)
A)
2
225
B)
4
225
C)
3
30
D)
2
30
Find the reciprocal.
113)
13
113)
A)
1
13
B)
13
1
C)
1
D)
13
Find the prime factorization of the number.
114)
10
114)
A)
2·6
B)
2·5
C)
2·7
D)
2+5
115)
Mr. Rivera opened a package of 75 drinking cups for his restaurant. During the day, 2 cups were
used. What fraction of the package of cups was used?
115)
A)
73
3 of the package
B)
2
73 of the package
C)
75
2 of the package
D)
2
75 of the package
116)
A statistician has readings that take 1
3 minute each to read and record. How many readings can be
completed in 15 minutes?
116)
A)
5 readings
B)
45 readings
C)
16 readings
D)
6 readings
117)
Each piece of pizza is 1
10 of the pizza. What fraction of the pizza is 1
2 of a piece?
117)
A)
2
12
B)
1
20
C)
1
12
D)
2
20
Provide an appropriate response.
118)
There are 7 women and 8 men on a committee. What is the ratio of the women to men?
118)
A)
8
7
B)
7
8
C)
7
15
D)
8
15
Multiply.
119)
3
5· 1
119)
A)
1
B)
4
5
C)
3
5
D)
4
6
Determine whether the number is divisible by 2, 3, 4, 5, 6, 8, 9, and/or 10.
120)
2378
120)
A)
4
B)
2
C)
3, 4
D)
2, 3, 4
121)
2523
121)
A)
9
B)
3, 9
C)
3
D)
2, 3, 9
Provide an appropriate response.
122)
There are 10 women and 6 men on a committee. What is the ratio of the men to women?
122)
A)
6
10
B)
6
16
C)
10
16
D)
10
6
Multiply.
123)
5
9·40
123)
A)
45
9
B)
200
9
C)
200
360
D)
5
360
Simplify.
124)
70
80
124)
A)
10
8
B)
7
8
C)
7
10
D)
70
80
What part of the object or set of objects is shaded?
125)
125)
A)
5
1
B)
5
6
C)
1
6
D)
1
5
126)
It takes 3
3 lb of flour to make a cake. How much flour is needed to make 4 cakes?
126)
A)
12
12 lb
B)
3
12 lb
C)
7
3 lb
D)
12
3 lb
Divide and simplify.
127)
2
3÷1
3
127)
A)
9
2
B)
1
2
C)
2
D)
2
9
Provide an appropriate response.
128)
A company with 1080 total employees prepares the following analysis for the length of time its
employees have been with the company. Use the table to answer the question.
What is the ratio of the number of employees working more than 6 years to the total number of
employees?
128)
A)
225
1080
B)
1080
225
C)
150
1080
D)
1080
150
Multiply and simplify.
129)
1
4·80
129)
A)
80
4
B)
80
320
C)
2
D)
20
Determine whether the number is divisible by 2, 3, 4, 5, 6, 8, 9, and/or 10.
130)
71
130)
A)
3, 5
B)
None
C)
3, 9
D)
3
Determine if the second number is a factor of the first number.
131)
580; 150
131)
A)
Yes
B)
No
Simplify.
132)
60
64
132)
A)
15
16
B)
15
4
C)
4
16
D)
60
64
Multiply and simplify.
133)
4
5·400
133)
A)
1600
5
B)
280
C)
320
D)
160004
5
Determine if the second number is a factor of the first number.
134)
13; 78
134)
A)
Yes
B)
No
Multiply and simplify.
135)
12 ·1
12
135)
A)
12
144
B)
1
144
C)
144
D)
1
136)
4
7·1
4
136)
A)
5
11
B)
4
28
C)
1
7
D)
4
11
Solve.
137)
Jeremy has traveled 4
5 of his total trip. He has traveled 432 miles so far. How many more miles
does he have to travel?
137)
A)
862
5 miles
B)
None of these
C)
540 miles
D)
108 miles
138)
A box of cereal contains about 12 cups. A serving size is 3
4 cup. About how many servings are in
the box of cereal?
138)
A)
9 servings
B)
8 servings
C)
33
4 servings
D)
16 servings
Provide an appropriate response.
139)
The prime factorization of a number is 2· 2· 2· 2. How many different factors does the number have,
other than itself and one? Remember that the factors do not have to be prime.
139)
A)
Three
B)
One
C)
Four
D)
Two
Divide and simplify.
140)
28 ÷4
3
140)
A)
7
B)
21
C)
1
21
D)
112
3
What part of the set of objects is shaded?
141)
141)
A)
2
6
B)
6
4
C)
4
6
D)
2
4
Find the reciprocal.
142)
5
3
142)
A)
1
5
B)
3
C)
3
5
D)
3
1
Solve and simplify.
143)
9
7· x =135
143)
A)
105
B)
174
C)
135
D)
22
What part of the set of objects is shaded?
144)
144)
A)
8
6
B)
6
8
C)
2
8
D)
6
2
D)
Provide an appropriate response.
145)
Finish the statement with a correct response. To divide two fractions one needs to:
145)
A)
Invert the second fraction (divisor) and multiply.
B)
Add the numerators and factor the denominators.
C)
Invert the second fraction (divisor), add the numerators and multiply the denominators.
D)
Add the numerators and multiply the denominators.
D)
Find all the factors of the number.
146)
66
146)
A)
1, 2, 3, 4, 11, 16, 22, 33, 66
B)
1, 2, 3, 9, 11, 22, 33, 66
C)
1, 2, 3, 6, 11, 22, 33, 66
D)
1, 3, 11, 22, 33, 66
D)
147)
The pitch of a screw is the distance between threads. With each complete rotation of the screw, it
goes in or out a distance equal to its pitch. How far will a screw with a pitch of 2
45 in. go into a
piece of wood when it is turned 10 complete rotations clockwise?
147)
A)
9
4 in.
B)
4
9 in.
C)
1
225 in.
D)
1
9 in.
D)
Determine if the second number is a factor of the first number.
148)
84; 14
148)
A)
Yes
B)
No
Multiply by 1, 2, 3, and so on, to find ten multiples of the number.
149)
50
149)
A)
0, 55, 60, 65, 70, 75, 80, 85, 90, 95
B)
50, 60, 70, 80, 90, 100, 110, 120, 130, 140
C)
50, 110, 170, 230, 290, 350, 410, 470, 530, 590
D)
50, 100, 150, 200, 250, 300, 350, 400, 450, 500
What part of the object or set of objects is shaded?
150)
150)
A)
3
1
B)
3
4
C)
1
3
D)
1
4
Find another name for the given number, but with the denominator indicated.
151)
2
7=?
21
151)
A)
8
21
B)
5
21
C)
6
21
D)
14
21
Simplify.
152)
30
40
152)
A)
3
10
B)
10
4
C)
3
4
D)
30
40
Solve and simplify.
153)
5
8· n =15
4
153)
A)
1
6
B)
6
C)
3
D)
75
32
154)
A rectangular sheet of paper measures 1
7 ft by 2
3 ft. What is its area?
154)
A)
3
21 ft2
B)
3
10 ft2
C)
3
3ft2
D)
2
21 ft2
Determine whether the number is divisible by 2, 3, 4, 5, 6, 8, 9, and/or 10.
155)
40
155)
A)
2, 4, 5, 8, 10
B)
2, 4, 5
C)
2, 4, 5, 10
D)
2, 4, 5, 8
Solve and simplify.
156)
5
4· x =60
156)
A)
75
B)
16
C)
60
D)
48
What part of the set of objects is shaded?
157)
157)
A)
6
4
B)
4
6
C)
6
10
D)
4
10
Find all the factors of the number.
158)
70
158)
A)
1, 2, 5, 7, 10, 14, 35, 70
B)
1, 3, 5, 7, 9, 15, 20, 35, 70
C)
1, 2, 5, 7, 35, 70
D)
1, 2, 3, 5, 7, 9, 15, 35, 70
Find another name for the given number, but with the denominator indicated.
159)
12
8=?
16
159)
A)
96
16
B)
12
16
C)
192
128
D)
24
16
Solve and simplify.
160)
5
8· t =95
160)
A)
95
B)
238
C)
27
D)
152
Multiply and simplify.
161)
6
8·4
2
161)
A)
24
16
B)
5
6
C)
3
D)
3
2
What part of the set of objects is shaded?
162)
162)
A)
2
3
B)
3
5
C)
5
2
D)
2
5
Solve.
163)
A piece of cheese weighing 2
5 lb is to be divided into 10 equal portions. What will be the weight of
each portion?
163)
A)
1
25 lb
B)
1 lb
C)
25 lb
D)
4 lb
Simplify.
164)
525
0
164)
A)
1
525
B)
0
C)
525
D)
Not defined
Multiply.
165)
13
16 ·17
23
165)
A)
221
39
B)
30
368
C)
221
368
D)
30
39
Determine whether the first number is divisible by the second number.
166)
90; 9
166)
A)
Yes
B)
No
Find the reciprocal.
167)
3
167)
A)
1
3
B)
1
C)
3
1
D)
3
Find the prime factorization of the number.
168)
105
168)
A)
15 ·7
B)
3·5·7
C)
3·3·7
D)
5·5·3
B
Simplify.
169)
464
1057
169)
A)
464
1057
B)
154
352
C)
352
154
D)
22
151
A
Find all the factors of the number.
170)
45
170)
A)
1, 3, 5, 9, 15, 30, 45
B)
1, 2, 3, 5, 9, 15, 30, 45
C)
1, 3, 5, 9, 15, 45
D)
1, 3, 5, 15, 45
C
Use = or
for
to write a true sentence.
171)
35
10 350
1000
171)
A)
B)
=
A
A
Provide an appropriate response.
172)
There are 7 women and 3 men on a committee. What is the ratio of the number of men to the total
number of people on the committee?
172)
A)
3
7
B)
3
10
C)
7
3
D)
7
10
Find all the factors of the number.
173)
63
173)
A)
1, 2, 3, 7, 9, 21, 36, 63
B)
1, 3, 5, 7, 9, 11, 21, 63
C)
1, 3, 7, 9, 21, 63
D)
3, 5, 7, 9, 11, 21, 63
Divide and simplify.
174)
5
8÷3
174)
A)
5
24
B)
5
11
C)
None of these
D)
5
8
Solve and simplify.
175)
3
4· t =48
175)
A)
20
B)
64
C)
48
D)
72
Divide and simplify.
176)
15 ÷3
7
176)
A)
35
B)
45
7
C)
5
D)
1
35
Find all the factors of the number.
177)
36
177)
A)
1, 2, 3, 4, 6, 9, 12, 18, 36
B)
1, 2, 3, 4, 5, 6, 9, 10, 12, 18, 36
C)
2, 4, 6, 12, 18, 36
D)
1, 2, 4, 6, 12, 18, 36
Simplify.
178)
35
63
178)
A)
35
63
B)
5
7
C)
7
9
D)
5
9
Use = or
for
to write a true sentence.
179)
4
512
15
179)
A)
=
B)
Multiply.
180)
2
5·7
9
180)
A)
14
35
B)
9
45
C)
14
45
D)
9
14
Multiply and simplify.
181)
12 ·1
2
181)
A)
1
24
B)
24
C)
12
24
D)
6
Solve.
182)
A restaurant has a capacity of 90 patrons. If the restaurant is 8
10 full, how many patrons are at the
restaurant?
182)
A)
9 patrons
B)
72 patrons
C)
64 patrons
D)
80 patrons
183)
1
5 of Mary’s earned income is deducted from her paycheck for withholdings. 3
4 of the withholdings
are for taxes. What fraction of Mary’s earned income is deducted for taxes?
183)
A)
3
20
B)
4
15
C)
1
5
D)
4
9
Multiply.
184)
1 ×2
3
184)
A)
3
4
B)
3
3
C)
1
D)
2
3
Use = or
for
to write a true sentence.
185)
132
242 102
187
185)
A)
B)
=
Multiply.
186)
11
12 ·11
12
186)
A)
22
24
B)
121
144
C)
121
12
D)
1
Solve and simplify.
187)
3
4· x =3
5
187)
A)
60
12
B)
4
5
C)
5
6
D)
9
100
188)
A recipe calls for 2
3 cup of milk. How much milk should be used to make 1
6 of the recipe?
188)
A)
1
9 cup
B)
3
18 cup
C)
2
9 cup
D)
1
18 cup
Multiply.
189)
1
7×3
189)
A)
1
21
B)
3
21
C)
3
7
D)
4
7
Determine whether the first number is divisible by the second number.
190)
210; 15
190)
A)
Yes
B)
No
Use = or
for
to write a true sentence.
191)
20
100 230
1000
191)
A)
B)
=
Multiply.
192)
1
9·1
4
192)
A)
2
13
B)
1
36
C)
2
36
D)
1
13
What part of the object or set of objects is shaded?
193)
193)
A)
7
4
B)
1
7
C)
7
8
D)
7
1
Solve and simplify.
194)
k ·9
32 =3
24
194)
A)
3
4
B)
96
216
C)
4
9
D)
9
1024
Find all the factors of the number.
195)
84
195)
A)
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84
B)
1, 2, 3, 4, 7, 14, 21, 28, 42, 84
C)
1, 2, 3, 4, 5, 6, 7, 8, 9, 12, 14, 21, 28, 42, 84
D)
1, 2, 3, 4, 6, 7, 12, 14, 21, 42, 84
Divide and simplify.
196)
6
7÷6
5
196)
A)
7
5
B)
5
7
C)
35
36
D)
36
35
Solve.
197)
A piece of cable which is 2
5 m long is to be cut into pieces 1
20 m long. How many pieces will there
be?
197)
A)
100 pieces
B)
1
8 piece
C)
8 pieces
D)
40 pieces
What part of the object or set of objects is shaded?
198)
198)
A)
5
3
B)
3
5
C)
5
8
D)
3
8
Determine whether the number is prime, composite, or neither.
199)
23
199)
A)
Composite
B)
Prime
C)
Neither
Solve.
200)
When Maria finished medical school she owed $51,000 in student loans. She repaid 1
5 of the total
amount within two years of graduating. How much did she repay within two years of graduating?
200)
A)
$11,220
B)
$10,200
C)
$9180
D)
$1020
201)
Tyler and his sister arranged a party for their father’s birthday. The total cost of the party was $900.
Tyler paid 3
4 of the total cost and his sister paid the remainder. How much did Tyler pay?
201)
A)
$690
B)
$685
C)
$675
D)
$695
Provide an appropriate response.
202)
There are 6 women and 3 men on a committee. What is the ratio of the number of women to the
total number of people on the committee?
202)
A)
3
6
B)
3
9
C)
6
9
D)
6
3
Determine whether the first number is divisible by the second number.
203)
27; 6
203)
A)
Yes
B)
No
Simplify.
204)
0
542
204)
A)
0
B)
542
C)
Not defined
D)
1
205)
6
9
205)
A)
2
3
B)
6
3
C)
2
9
D)
3
2
What part of the object or set of objects is shaded?
206)
206)
A)
3
5
B)
3
8
C)
5
8
D)
5
3
207)
207)
A)
2
5
B)
5
2
C)
2
3
D)
3
2
Use the circle graph to answer the question.
208)
What do teachers do during their summer vacations? The responses of 100 teachers are organized
in the circle graph below. Simplify the fraction representing the number of teachers who volunteer.
208)
A)
3
50
B)
1
25
C)
1
100
D)
1
50
Find the prime factorization of the number.
209)
108
209)
A)
2·2·3·3· 5
B)
2·2·3·3·3
C)
2·2·3·3
D)
2 ·2·2·3·3·3
Multiply and simplify.
210)
5
10 ·30
160
210)
A)
150
1600
B)
7
320
C)
3
32
D)
7
34
What part of the set of objects is shaded?
211)
211)
A)
2
3
B)
2
5
C)
3
2
D)
3
5
Multiply.
212)
2
7·1
5
212)
A)
1
35
B)
3
12
C)
2
12
D)
2
35
Divide and simplify.
213)
5
12 ÷35
72
213)
A)
6
7
B)
175
864
C)
7
6
D)
30
7
What part of the object or set of objects is shaded?
214)
214)
A)
5
1
B)
5
6
C)
1
5
D)
5
3
Identify the numerator and denominator.
215)
7
4
215)
A)
Numerator: 11
Denominator: 1
B)
Numerator: 4
Denominator: 7
C)
Numerator: 7
Denominator: 4
D)
Numerator: 4
7
Denominator: 7
Use = or
for
to write a true sentence.
216)
2
66
18
216)
A)
=
B)
Multiply and simplify.
217)
19
5·15
14
217)
A)
34
19
B)
285
70
C)
14
15
D)
57
14
Multiply.
218)
5
47 ·4
59
218)
A)
20
110
B)
20
2773
C)
52
110
D)
52
1000
Find the prime factorization of the number.
219)
20
219)
A)
5·5
B)
4·2
C)
2·2·5
D)
4·5
Multiply and simplify.
220)
11
10 ·10
11
220)
A)
0
B)
100
121
C)
1
D)
121
100
Multiply.
221)
4
9·20
221)
A)
24
9
B)
4
180
C)
80
180
D)
80
9
Find the prime factorization of the number.
222)
465
222)
A)
5·5·31
B)
3·5·31
C)
3·3·31
D)
15 ·31
Answer Key
Testname: C2
Answer Key
Testname: C2
Answer Key
Testname: C2
Answer Key
Testname: C2
Answer Key
Testname: C2