Exam
Name___________________________________
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Fill in the blanks to complete the sentence.
1)
The fraction 26
58 represents of the equal parts into which a whole is divided.
1)
A)
26
58 , 26
B)
26
58 , 58
C)
58, 26
D)
26, 58
Write fractions to represent the shaded and unshaded portions of the figure.
2)
2)
A)
7
8, 1
8
B)
7
1, 1
4
C)
7
4, 1
4
D)
1
7, 4
1
List the improper fractions in the group.
3)
55
2, 2
56 , 4
9, 60
16 , 58
58
3)
A)
55
2, 2
56 , 4
9, 60
16 , 58
58
B)
2
56 , 4
9
C)
55
2, 2
56 , 4
9, 58
58
D)
55
2, 60
16 , 58
58
Write the fraction in lowest terms.
4)
60
135
4)
A)
60
135
B)
15
9
C)
4
15
D)
4
9
Multiply. Write the answer in lowest terms and as a whole or mixed number where possible.
5)
120 ·1
6
5)
A)
1
6
B)
2
C)
20
D)
120
6
Solve the problem.
6)
In a microbiology class of 41 students, 16 students are graduate students. What fraction of the
students are not graduate students?
6)
A)
25
41
B)
41
25
C)
16
41
D)
41
16
List the proper fractions in the group.
7)
16
13 , 13
12 , 11
8, 17
17 , 2
3
7)
A)
2
3
B)
13
12 , 11
8, 17
17
C)
16
13 , 13
12 , 11
8, 2
3
D)
11
8
Multiply. Write the answer in lowest terms.
8)
1
4·4
5·1
8
8)
A)
1
32
B)
1
40
C)
1
5
D)
8
5
Write the fractions in lowest terms. Then determine whether the pair of fractions is equivalent or not equivalent.
9)
2
6 and 36
78
9)
A)
Equivalent
B)
Not equivalent
Provide an appropriate response.
10)
Fill in the blank with “always greater than,” “sometimes greater than,” “always less than,” or “cannot
be determined,” whichever response is correct. When dividing a positive fraction by 2
11 , the answer
is the fraction.
10)
A)
always less than
B)
cannot be determined
C)
sometimes greater than
D)
always greater than
Divide. Write the answer in lowest terms and as a whole or mixed number where possible.
11)
5
13 ÷15
52
11)
A)
3
4
B)
11
3
C)
75
676
D)
62
3
Write the fraction in lowest terms.
12)
40
48
12)
A)
8
6
B)
5
6
C)
5
8
D)
40
48
Find all the factors for the number.
13)
66
13)
A)
1, 3, 11, 22, 33, 66
B)
1, 2, 3, 6, 11, 22, 33, 66
C)
1, 2, 3, 4, 11, 16, 22, 33, 66
D)
1, 2, 3, 9, 11, 22, 33, 66
D)
Find the prime factorization of the number. Write the answer with exponents when repeated factors appear.
14)
350
14)
A)
14 ·52
B)
2·5·7
C)
2·52·7
D)
22·52·7
D)
Divide. Write the answer in lowest terms and as a whole or mixed number where possible.
15)
5
12
5
18
15)
A)
71
2
B)
11
2
C)
25
216
D)
2
3
D)
D)
Refer to the following recipe to first estimate the answer and then use multiplication or division to find the exact answer.
Simplify.
Old Grandma’s Fork Cookies
11
2 cups brown sugar
11
2 cups white sugar
11
4 cups shortening
1 pinch salt
3 eggs
21
2 tsp soda
21
4 tsp cream of tartar
11
2 tsp vanilla
Cream sugars and shortening. Beat in remaining ingredients. Add flour to stiffen like regular cookie dough. Roll into
balls, then flatten with a fork. Cook until brown.
16)
Find the amount of cream of tartar needed if you take 11
2 times the recipe.
16)
A)
Estimate: 4 tsp
Exact: 33
4 tsp
B)
Estimate: 6 tsp
Exact: 33
8 tsp
C)
Estimate: 4 tsp
Exact: 33
8 tsp
D)
Estimate: 3 3
4 tsp
Exact: 6 tsp
Solve the problem.
17)
A restaurant has a capacity of 33 patrons. If the restaurant is 7
11 full, how many patrons are at the
restaurant?
17)
A)
21 patrons
B)
14 patrons
C)
3 patrons
D)
28 patrons
Multiply. Write the answer in lowest terms.
18)
1
8·4
5
18)
A)
4
9
B)
1
10
C)
4
40
D)
5
13
Provide an appropriate response.
19)
You are asked to change 18
13 to a mixed number. What should be your first step?
19)
A)
Add 18 and 13.
B)
Divide 18 by 13.
C)
Multiply 18 and 13.
D)
Divide 13 by 18.
Find the prime factorization of the number. Write the answer with exponents when repeated factors appear.
20)
72
20)
A)
22·3
B)
23·32
C)
22·32
D)
23·3
Solve the problem.
21)
During elections at the local union, 4
7 of the members voted. If there are 105 members, how many
voted?
21)
A)
64 members
B)
15 members
C)
56 members
D)
60 members
Write the numerator and denominator of the fraction as a product of prime factors and divide by the common factors.
Then write the fraction in lowest terms.
22)
40
36
22)
A)
2 · 2 · 2 ·5
2 · 2 · 2 ·3=5
3
B)
2 · 2 ·5·5
2 · 2 ·3·3=25
9
C)
2 · 2 · 2 ·5
2 · 2 ·3·3=10
9
D)
2 · 2 ·5
2 ·3·3=10
9
Write the fraction in lowest terms.
23)
30
40
23)
A)
30
40
B)
3
10
C)
3
4
D)
10
4
Divide. Write the answer in lowest terms and as a whole or mixed number where possible.
24)
8
7
2
24)
A)
22
7
B)
13
4
C)
4
D)
4
7
Provide an appropriate response.
25)
Multiply two fractions by the numerators and the denominators.
25)
A)
multiplying; adding
B)
multiplying; multiplying
C)
multiplying; canceling
D)
adding; multiplying
Solve the problem.
26)
A high school basketball team has 10 members. If 7 of the team members are juniors, find the
fraction of the team members that are juniors.
26)
A)
7
10
B)
10
3
C)
10
7
D)
3
10
List the improper fractions in the group.
27)
50
7, 6
48 , 7
9, 20
12 , 22
22
27)
A)
50
7, 6
48 , 7
9, 22
22
B)
50
7, 6
48 , 7
9, 20
12 , 22
22
C)
50
7, 20
12 , 22
22
D)
6
48 , 7
9
Divide. Write the answer in lowest terms and as a whole or mixed number where possible.
28)
18
3
5
28)
A)
1
30
B)
10 4
5
C)
6
D)
30
Find the area of the rectangle.
29)
A =16
27 mi
B =18
22 mi
29)
A)
7
10 mi2
B)
288
594 mi2
C)
16
33 mi2
D)
34
49 mi2
Solve the problem.
30)
The floor of a rectangular room is to be tiled with 1
3 foot square tiles along a 73
8 foot wall. How
many tiles will be needed along the wall?
30)
A)
21 3
8 tiles
B)
24 tiles
C)
211
24 tiles
D)
22 1
8 tiles
Multiply. Write the answer in lowest terms and as a whole or mixed number where possible.
31)
66
60 ·720 ·4
8
31)
A)
400
B)
360
C)
440
D)
396
Multiply to find the exact answer. Express the answer as a whole or mixed number when possible and simplify.
32)
31
5·61
4
32)
A)
20
B)
24
C)
21
D)
18 4
20
Multiply. Write the answer in lowest terms and as a whole or mixed number where possible.
33)
90 ·2
3
33)
A)
90
B)
60
C)
80
D)
120
Determine whether the number is divisible by 2, 3, 4, 5, 6, 7, 8, 9, and/or 10.
34)
22,962
34)
A)
2, 3, 6
B)
4, 5, 6
C)
2, 3, 4
D)
3, 4, 6
Divide. Write the answer in lowest terms and as a whole or mixed number where possible.
35)
5
4÷2
5
35)
A)
1
20
B)
10
C)
31
8
D)
1
2
Multiply. Write the answer in lowest terms.
36)
48
64 ·16
27 ·45
24
36)
A)
5
6
B)
5
9
C)
5
18
D)
5
24
Multiply to find the exact answer. Express the answer as a whole or mixed number when possible and simplify.
37)
41
5·1·4
7
37)
A)
52
5
B)
22
5
C)
42
5
D)
47
20
The following table shows the earnings for the Juarez family last year. Use this information to answer the question.
Month Earnings Month Earnings
Jan. $1400 July $1300
Feb. $1150 Aug. $2450
Mar. $2950 Sept. $2500
Apr. $2300 Oct. $2000
May $1650 Nov. $2350
June $2700 Dec. $2400
38)
The family used 7
100 of their income for food purchases. How much did they spend on food
purchases for the year?
38)
A)
$1760.50
B)
$2072
C)
$1470
D)
$1890
Write the mixed number as an improper fraction.
39)
23
7
39)
A)
14
7
B)
17
3
C)
17
7
D)
14
3
Solve the problem.
40)
It requires 11
4 cups of concentrate per quart of water to make a certain juice. How many cups are
needed to make 73
4 quarts of juice?
40)
A)
61
5 cups
B)
911
16 cups
C)
38 3
4 cups
D)
155 cups
Write fractions to represent the shaded and unshaded portions of the figure.
41)
41)
A)
1
4, 3
4
B)
1
3, 2
3
C)
3
1, 3
2
D)
3
4, 1
4
Solve the problem.
42)
A building contractor finds that 3
5 can of pipe joint compound is needed to plumb each new home.
How many homes can be plumbed with 24 cans of compound?
42)
A)
30 homes
B)
40 homes
C)
24 homes
D)
14 2
5 homes
Write the numerator and denominator of the fraction as a product of prime factors and divide by the common factors.
Then write the fraction in lowest terms.
43)
1512
132
43)
A)
2 · 2 ·3·3·3·7
2 ·3·11 =126
11
B)
2 · 3 ·3·7
11 =126
11
C)
2 · 2 · 2 ·3·3·3·7
2 · 2 ·3·11 =126
11
D)
2 · 2 · 2 ·3·3·3·7
2 · 2 ·3·11 =1512
132
Determine whether the number is divisible by 2, 3, 4, 5, 6, 7, 8, 9, and/or 10.
44)
12,118
44)
A)
4
B)
3, 4
C)
2
D)
2, 3, 4
Write the mixed number as an improper fraction.
45)
18 1
10
45)
A)
191
10
B)
181
10
C)
18
10
D)
19
10
Solve the problem.
46)
A rectangular dog bed is 2
7 yard by 1
7 yard. Find its area.
46)
A)
3
49 yd2
B)
3
14 yd2
C)
3
7yd2
D)
2
49 yd2
Write the mixed number as an improper fraction.
47)
25
9
47)
A)
23
9
B)
18
9
C)
18
5
D)
23
5
Solve the problem.
48)
One fifth of Joan’s earned income is deducted for withholdings. Three tenths of the withholdings
are for federal income tax. What fraction of Joan’s earned income is deducted for federal income
tax?
48)
A)
2
25
B)
2
3
C)
4
15
D)
3
50
49)
A certain scholarship will pay for 3
5 of a student’s total tuition. How much will a student who
receives this scholarship pay toward tuition, if tuition is $300?
49)
A)
$180
B)
$240
C)
$120
D)
$297
50)
A mechanic uses on average 3
2 gallon(s) of gear lube to service each tractor differential. Find the
number of tractors that can be serviced with 6 gallons of gear lube.
50)
A)
4 tractors
B)
9 tractors
C)
18 tractors
D)
2 tractors
Divide. Write the answer in lowest terms and as a whole or mixed number where possible.
51)
15 ÷3
5
51)
A)
1
25
B)
5
C)
9
D)
25
Write the improper fraction as a whole or mixed number.
52)
26
5
52)
A)
41
5
B)
61
5
C)
51
7
D)
51
5
Find the prime factorization of the number. Write the answer with exponents when repeated factors appear.
53)
176
53)
A)
23·11
B)
24·7
C)
23·13
D)
24·11
54)
265
54)
A)
52·53
B)
52
C)
5·51
D)
5·53
Write the fractions in lowest terms. Then determine whether the pair of fractions is equivalent or not equivalent.
55)
1
5 and 10
50
55)
A)
Equivalent
B)
Not equivalent
Solve the problem.
56)
A car traveled 249 miles on 83
10 gallons of gas. How many miles per gallon did it get?
56)
A)
30 mpg
B)
31 mpg
C)
31
D)
31 1
8 mpg
Find all the factors for the number.
57)
72
57)
A)
1, 2, 3, 4, 6, 9, 12, 14, 18, 24, 36, 72
B)
1, 2, 3, 4, 6, 8, 9, 12, 24, 36, 72
C)
1, 2, 3, 4, 5, 6, 7, 8, 9, 12, 18, 24, 36, 72
D)
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
The following table shows the earnings for the Juarez family last year. Use this information to answer the question.
Month Earnings Month Earnings
Jan. $1400 July $1300
Feb. $1150 Aug. $2450
Mar. $2950 Sept. $2500
Apr. $2300 Oct. $2000
May $1650 Nov. $2350
June $2700 Dec. $2400
58)
What was the family’s total income for the year?
58)
A)
$22,000
B)
$23,750
C)
$25,150
D)
$24,000
Divide. Write the answer in lowest terms and as a whole or mixed number where possible.
59)
7
8÷8
59)
A)
7
64
B)
7
C)
1
64
D)
1
7
Solve the problem.
60)
An upholsterer wants to reupholster 160 chairs for a banquet hall. If each chair needs 1
8 pound of
brass tacks, how many pounds of brass tacks are needed?
60)
A)
128 pounds
B)
20 pounds
C)
2 pounds
D)
1280 pounds
Divide. Write the answer in lowest terms and as a whole or mixed number where possible.
61)
4÷2
5
61)
A)
10
B)
2
C)
1
10
D)
13
5
Solve the problem.
62)
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?
62)
A)
33
4 servings
B)
9 servings
C)
16 servings
D)
51
3 servings
Write the improper fraction as a whole or mixed number.
63)
7
2
63)
A)
31
2
B)
31
7
C)
21
2
D)
41
2