Exam
Name___________________________________
SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
Provide an appropriate response.
1)
In your own words, explain what a fraction means.
1)
2)
Explain the meaning of 2
3. Use a pizza in your explanation.
2)
3)
Explain, in your own words, what is the least common multiple of two numbers.
3)
4)
What is wrong if two fractions are added and the result is expressed as a whole number
and an improper fraction?
4)
5)
Tell what you would do if you added the fraction parts of mixed numbers and the result
was greater than 1.
5)
6)
Explain what it means to rename a fraction.
6)
7)
Is this statement correct or incorrect?
Explain.
31
4=3·
1
4
7)
8)
Explain in your own words the steps you would take to divide fractions.
8)
9)
Explain why, when rewriting a fraction with a different denominator, the fraction can be
multiplied by another fraction whose numerator and denominator are the same.
9)
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Find the least common denominator for the given set of denominators.
10)
84, 378
A)
756
B)
42
C)
2268
D)
1512
Write the fraction in lowest terms.
11)
36
156
A)
31
7
B)
37
157
C)
13
3
D)
3
13
Find the time–and–a–half rate for the regular rate.
12)
$17
A)
$29.75
B)
$23.80
C)
$34.00
D)
$25.50
Change the improper fraction to a whole or mixed number.
13)
49
7
A)
6
B)
72
7
C)
8
D)
7
Subtract. Write the answer in lowest terms.
14)
22
25 –
5
11
A)
6
275
B)
117
275
C)
234
25
D)
275
117
Add. Write the answer in lowest terms.
15)
5
9+5
6
A)
17
18
B)
5
C)
2
3
D)
5
27
Perform the operation and reduce to lowest terms.
16)
41
2×22
3
A)
81
6
B)
11
C)
13
D)
12
Write each mixed number as an improper fraction.
17)
612
16
A)
109
16
B)
9
8
C)
27
4
D)
11
2
The graph represents the 24–hour day of a small–business owner.
Sleep 1
4Work 1
3
Free time 1
24
Eat 1
12
Travel 1
8Worry 1
6
18)
What fraction of the day is spent in sleeping, eating, and free time?
A)
3
8
B)
7
24
C)
1
2
D)
5
12
Solve the problem.
19)
Jake wants to work 23
4 hours at his part–time job this week. He has already worked 14
5 hours.
How many more hours does he need to work?
A)
2
9 hr
B)
19
20 hr
C)
21
9 hr
D)
1
10 hr
Write an equivalent fraction using the given denominator.
20)
3
6=24
A)
12
B)
18
C)
3
D)
72
Find the least common denominator for the given set of denominators.
21)
7, 14, 28, 49
A)
49
B)
147
C)
196
D)
392
Write as a fraction in lowest terms.
22)
0.166
A)
83
250
B)
83
500
C)
1
166
D)
83
1000
Solve the problem.
23)
Tim needs to apply 31
2 gallons of herbicide per acre of soybeans. How many gallons of herbicide
are needed for 164 acres?
A)
574 gallons
B)
125 gallons
C)
46 6
7 gallons
D)
1231
2 gallons
24)
A tank contains 21
4 gallons of water. Its capacity is 31
5 gallons. How much more water is needed to
fill it?
A)
21
9 gal
B)
7
9 gal
C)
19
20 gal
D)
7
20 gal
Find the least common denominator for the given set of denominators.
25)
112, 96
A)
672
B)
1344
C)
224
D)
336
Solve the problem.
26)
Peter must practice the piano 33
5 hours per week. He has already practiced 25
6 hours. How many
more hours does he need to practice?
A)
1
11 hr
B)
23
30 hr
C)
21
11 hr
D)
1
30 hr
Find the least common denominator for the given set of denominators.
27)
24, 54, 9
A)
72
B)
54
C)
216
D)
108
Solve the problem.
28)
While shopping for a party, June bought 21
3 pounds of hamburger, 33
4 pounds of chicken, and
91
2 pounds of ham. How much meat did she buy?
A)
4 lb
B)
1
4 lb
C)
15 7
12 lb
D)
12
187 lb
Add. Write your answer in lowest terms.
29)
7
12
5
8
+1
6
A)
11
6
B)
13
8
C)
111
24
D)
13
24
Perform the operation and reduce to lowest terms.
30)
32
5×5×2
5
A)
151
B)
84
5
C)
15 4
5
D)
64
5
Determine if the number is divisible by 2, 3, 4, 5, 6, 8, 9, and/or 10. If it is not divisible by any of these, then answer
“None”.
31)
2257
A)
3, 6
B)
3
C)
3, 5
D)
None
Solve the problem.
32)
There were 24 1
2 yards of fabric on a bolt. After a customer bought 32
3 yards of fabric, how many
yards were left?
A)
25 yd
B)
73
5 yd
C)
61
3 yd
D)
20 5
6 yd
The graph represents the 24–hour day of a small–business owner.
Sleep 1
4Work 1
3
Free time 1
24
Eat 1
12
Travel 1
8Worry 1
6
33)
How many hours of the day are given to free time and eating?
A)
3 hours
B)
4 hours
C)
2 hours
D)
1 hour
Solve the problem.
34)
The fineness (purity) of gold is regulated by law and is the same in all parts of the world. The
purity is stated in terms of karats. 14–kt gold is 14 parts gold and 10 parts alloy. Write this measure
of purity as a fraction in lowest terms.
A)
7
12
B)
7
5
C)
5
12
D)
5
7
Subtract. Write the answer in lowest terms.
35)
7
12
–1
16
A)
1
6
B)
25
48
C)
1
8
D)
3
16
Perform the operation and reduce to lowest terms.
36)
21
3÷21 1
3
A)
7
64
B)
7
192
C)
49 7
9
D)
51
21
Solve the problem.
37)
A small company sells stock for 85
8 dollars per share. How much will 56 shares cost?
A)
634
69 dollars
B)
56 dollars
C)
61 dollars
D)
483 dollars
Write each mixed number as an improper fraction.
38)
25 2
5
A)
11
B)
127
5
C)
128
5
D)
27
5
Solve the problem.
39)
Ellen is knitting a scarf with one 21
2–inch blue stripe, one 31
3–inch green stripe, and one 6–inch
white stripe. How wide is the scarf?
A)
6
71 in.
B)
17
58 in.
C)
11 5
6 in.
D)
37
17 in.
Write as a fraction in lowest terms.
40)
0.00225
A)
9
400
B)
9
2000
C)
9
8000
D)
9
4000
Perform the operation and reduce to lowest terms.
41)
5
8÷
1
5
A)
5
8
B)
1
8
C)
6
13
D)
31
8
Determine if the number is divisible by 2, 3, 4, 5, 6, 8, 9, and/or 10. If it is not divisible by any of these, then answer
“None”.
42)
1368
A)
2, 3, 4, 6, 8, 9
B)
2, 3, 4, 8
C)
None
D)
2, 3, 6, 8
Subtract. Write the answer in lowest terms.
43)
14 6
7
–63
8
A)
67 6
7
B)
53
56
C)
56
475
D)
827
56
44)
13 1
9
– 3 8
9
A)
91
9
B)
16 2
9
C)
92
9
D)
15 2
9
Perform the operation and reduce to lowest terms.
45)
19
10 ÷21
2
A)
19
25
B)
21
6
C)
43
4
D)
19
200
Add. Write your answer in lowest terms.
46)
26
15 +
1
8+
27
10
A)
42010
13
B)
467
120
C)
29
3000
D)
58
65
Add. Write the answer in lowest terms.
47)
10
11 +1
9
A)
12
99
B)
11
20
C)
1
9
D)
51
20
Solve the problem.
48)
A tank contains 23
4 gallons of water. Its capacity is 34
5 gallons. How much more water is needed to
fill it?
A)
2
5 gal
B)
11
20 gal
C)
21
3 gal
D)
8
9 gal
49)
A laminated lab bench has 31
4 inches of plywood, 12
9 inches of pressed board, and 9
10 inch of
formica. What is the thickness of the lab bench?
A)
180
967 in.
B)
110
23 in.
C)
567
180 in.
D)
23
33 in.
Perform the operation and reduce to lowest terms.
50)
38
9÷24
5
A)
17
17
B)
14
9
C)
17
18
D)
27
18
51)
1
4×
1
3
A)
1
8
B)
3
11
C)
4
3
D)
1
12
52)
4×22
9×3
8
A)
323
72
B)
31
3
C)
21
3
D)
24 1
24
Solve the problem.
53)
A technician has readings that take 31
3 minutes each to read and record. How many readings can
be completed in 180 minutes?
A)
181 readings
B)
7 readings
C)
600 readings
D)
54 readings
D
Find the time–and–a–half rate for the regular rate.
54)
$8
A)
$16.00
B)
$11.20
C)
$14.00
D)
$12.00
D
Write the fraction in lowest terms.
55)
60
98
A)
49
30
B)
30
49
C)
97
59
D)
60
98
B
B
Subtract. Write the answer in lowest terms.
56)
8
9–
4
7
A)
63
20
B)
4
63
C)
20
9
D)
20
63
57)
5
6
–1
3
A)
2
B)
11
6
C)
3
4
D)
1
2
Solve the problem.
58)
While shopping for a party, June bought 61
3 pounds of hamburger, 11
2 pounds of chicken, and
13
8 pounds of ham. How much meat did she buy?
A)
19
42 lb
B)
95
24 lb
C)
24
221 lb
D)
24
19 lb
Subtract. Write the answer in lowest terms.
59)
1
15 –
2
35
A)
1
3
B)
1
105
C)
1
1575
D)
105
Solve the problem.
60)
How many pieces of string 31
4 inches long can be cut from a 72 inch piece of string? Round answer
to the nearest piece of string.
A)
234 pieces
B)
55 pieces
C)
22 pieces
D)
None of these
Determine if the number is divisible by 2, 3, 4, 5, 6, 8, 9, and/or 10. If it is not divisible by any of these, then answer
“None”.
61)
181
A)
3
B)
3, 5
C)
None
D)
3, 6
Find the time–and–a–half rate for the regular rate.
62)
$14.50
A)
$25.38
B)
$20.30
C)
$21.75
D)
$29.00
Write an equivalent fraction using the given denominator.
63)
3
4=28
A)
7
B)
42
C)
21
D)
28
Perform the operation and reduce to lowest terms.
64)
2
3×
2
3
A)
2
3
B)
4
9
C)
2
9
D)
1
65)
32
3×9
A)
12 2
3
B)
33
C)
27
D)
81
Write an equivalent fraction using the given denominator.
66)
3
5=175
A)
210
B)
15
C)
105
D)
7
Solve the problem.
67)
A nail 71
2 inches long is driven into a board 31
4 inches thick. How much of the nail protrudes from
the other side of the board?
A)
1
4 in.
B)
41
4 in.
C)
52
3 in.
D)
1
3 in.
Perform the operation and reduce to lowest terms.
68)
1
2×
7
8
A)
23
28
B)
1
48
C)
7
16
D)
7
4
Write the fraction in lowest terms.
69)
198
288
A)
16
11
B)
11
16
C)
199
289
D)
287
197
Convert the fraction to a decimal. If a division does not come out evenly, round the answer to the nearest thousandth.
70)
73
85
A)
0.859
B)
1.164
C)
0.086
D)
8.59
Subtract. Write the answer in lowest terms.
71)
1
2–
3
19
A)
38
13
B)
13
38
C)
1
152
D)
13
2
Change the improper fraction to a whole or mixed number.
72)
59
10
A)
61
10
B)
69
10
C)
49
10
D)
59
10
Perform the operation and reduce to lowest terms.
73)
4
9÷17
11
A)
2
81
B)
8
11
C)
22
81
D)
11
10
Solve the problem.
74)
Jeff studied math for 11
2 hours, history for 6 hours, and physics for 51
3 hours. How long did he
study?
A)
13
40 hr
B)
6
77 hr
C)
12 5
6 hr
D)
31
13 hr
The graph represents the 24–hour day of a small–business owner.
Sleep 1
4Work 1
3
Free time 1
24
Eat 1
12
Travel 1
8Worry 1
6
75)
What fraction of the day is spent in work, worry, and travel?
A)
1
2
B)
7
12
C)
2
3
D)
5
8
Change the improper fraction to a whole or mixed number.
76)
7
3
A)
3
B)
11
3
C)
31
3
D)
21
3
Find the time–and–a–half rate for the regular rate.
77)
$82.00
A)
$114.80
B)
$143.50
C)
$164.00
D)
$123.00
Find the least common denominator for the given set of denominators.
78)
7, 14, 21, 36
A)
280
B)
252
C)
112
D)
259
Add. Write the answer in lowest terms.
79)
12 1
3
+ 11 3
5
A)
23 14
15
B)
24 14
15
C)
12 14
15
D)
22 14
15
Write an equivalent fraction using the given denominator.
80)
8
5=30
A)
6
B)
48
C)
96
D)
30
Write the fraction in lowest terms.
81)
380
440
A)
22
19
B)
127
147
C)
439
379
D)
19
22
Determine if the number is divisible by 2, 3, 4, 5, 6, 8, 9, and/or 10. If it is not divisible by any of these, then answer
“None”.
82)
30
A)
2, 3, 5, 6, 10
B)
2, 3, 5, 10
C)
None
D)
2, 3, 5, 6