MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

Write fractions to represent the shaded and unshaded portions of the figure.1)

A) 51

, 54

B) 56

, 16

C) 16

, 56

D) 15

, 45

1)

2)

A) 17

, 67

B) 74

, 14

C) 34

, 14

D) 78

, 18

2)

3)

A) 35

, 55

B) 54

, 34

C) 53

, 33

D) 58

, 38

3)

4)

A) 52

, 53

B) 25

, 35

C) 32

, 12

D) 23

, 13

4)

1

5)

A) 31

, 32

B) 13

, 23

C) 14

, 34

D) 34

, 14

5)

6)

A) 35

, 25

B) 38

, 58

C) 53

, 52

D) 58

, 38

6)

7)

A) 56

, 16

B) 53

, 13

C) 51

, 11

D) 15

, 11

7)

8)

A) 17

, 41

B) 71

, 14

C) 74

, 14

D) 78

, 18

8)

9)

A) 111

, 112

B) 1112

, 112

C) 111

, 121

D) 116

, 16

9)

10)

A) 38

, 58

B) 35

, 25

C) 53

, 13

D) 58

, 38

10)

2

Solve the problem.11) Of 19 crates of apples, 2 crates are Granny Smiths. What fraction of the crates are Granny Smiths?

A) 219

B) 192

C) 1917

D) 1719

11)

12) Of 19 crates of apples, 2 crates are Granny Smiths. What fraction of the crates are not GrannySmiths?

A) 1719

B) 219

C) 1917

D) 192

12)

13) A high school basketball team has 10 members. If 7 of the team members are juniors, find thefraction of the team members that are juniors.

A) 710

B) 107

C) 103

D) 310

13)

14) A high school basketball team has 9 members. If 7 of the team members are juniors and the restare seniors, find the fraction of the team members that are seniors.

A) 92

B) 97

C) 79

D) 29

14)

15) In a microbiology class of 41 students, 17 students are graduate students. What fraction of thestudents are graduate students?

A) 4117

B) 1741

C) 2441

D) 4124

15)

16) In a microbiology class of 29 students, 13 students are graduate students. What fraction of thestudents are not graduate students?

A) 1629

B) 2916

C) 2913

D) 1329

16)

17) Of 88 bicycles in a bike rack, 41 are mountain bikes. What fraction of the bicycles are mountainbikes?

A) 8847

B) 8841

C) 4188

D) 4788

17)

18) Of 94 bicycles in a bike rack, 41 are mountain bikes. What fraction of the bicycles are not mountainbikes?

A) 9441

B) 4194

C) 5394

D) 9453

18)

19) Of 206 trees in the park, 43 are coniferous trees. What fraction of the trees are coniferous trees?

A) 43206

B) 20643

C) 163206

D) 206163

19)

20) Of 176 trees in the park, 13 are coniferous trees. What fraction of the trees are not coniferous trees?

A) 13176

B) 176163

C) 163176

D) 17613

20)

3

Identify the numerator and denominator.

21) 32

A) Numerator 2

Denominator 3

B) Numerator 5

Denominator 1

C) Numerator 3

Denominator 2

D) Numerator 23

Denominator 3

21)

22) 192

A) Numerator 1

Denominator 219

B) Numerator 19

Denominator 2

C) Numerator 2

Denominator 19

D) Numerator 192

Denominator 1

22)

List the proper fractions in the group.

23) 97

, 512

, 715

, 317

A) 97

B) 512

, 715

, 317

C) 97

, 512

, 715

, 317

D) 97

, 1317

23)

24) 14

, 117

, 1818

, 54

, 83

A) 14

, 54

, 83

B) 117

, 1818

, 54

, 83

C) 14

, 117

, 1818

, 54

, 83

D) 14

24)

25) 712

, 1413

, 72

, 114

, 34

A) 712

, 34

B) 712

, 114

, 34

C) 72

, 114

, 34

D) 1413

, 72

, 114

25)

26) 1613

, 1312

, 118

, 1717

, 23

A) 118

B) 1312

, 118

, 1717

C) 1613

, 1312

, 118

, 23

D) 23

26)

4

27) 37

, 519

, 77

, 211

, 16219

A) 77

B) 37

, 519

, 211

, 16219

C) 519

, 77

, 211

D) 37

, 519

, 77

, 211

, 16219

27)

28) 97

, 512

, 715

, 1912

, 317

A) 512

, 715

, 317

B) 97

, 1912

C) 97

, 512

, 715

D) 97

, 512

, 715

, 1912

, 317

28)

List the improper fractions in the group.

29) 146

, 536

, 78

, 4630

, 3939

A) 146

, 536

, 78

, 3939

B) 146

, 536

, 78

, 4630

, 3939

C) 536

, 78

D) 146

, 4630

, 3939

29)

30) 108

, 226

, 39

, 4016

, 5757

A) 108

, 226

, 39

, 5757

B) 226

, 39

C) 108

, 4016

, 5757

D) 108

, 226

, 39

, 4016

, 5757

30)

31) 318

, 948

, 56

, 2217

, 2020

A) 318

, 2217

, 2020

B) 948

, 56

C) 318

, 948

, 56

, 2217

, 2020

D) 318

, 948

, 56

, 2020

31)

32) 456

, 349

, 89

, 2220

, 4949

A) 456

, 349

, 89

, 2220

, 4949

B) 349

, 89

C) 456

, 2220

, 4949

D) 456

, 349

, 89

, 4949

32)

5

33) 556

, 342

, 69

, 4837

, 5656

A) 556

, 342

, 69

, 4837

, 5656

B) 342

, 69

C) 556

, 4837

, 5656

D) 556

, 342

, 69

, 5656

33)

34) 145

, 931

, 57

, 4421

, 3636

A) 145

, 931

, 57

, 3636

B) 145

, 931

, 57

, 4421

, 3636

C) 145

, 4421

, 3636

D) 931

, 57

34)

Fill in the blanks to complete the sentence.

35) The fraction 1147

represents of the equal parts into which a whole is divided.

A) 1147

, 47 B) 47, 11 C) 1147

, 11 D) 11, 47

35)

Write the mixed number as an improper fraction.

36) 3 79

A) 279

B) 347

C) 277

D) 349

36)

37) 2 78

A) 237

B) 238

C) 168

D) 167

37)

38) 7 27

A) 497

B) 517

C) 512

D) 492

38)

39) 5 37

A) 387

B) 357

C) 353

D) 383

39)

40) 12 710

A) 12710

B) 13710

C) 8410

D) 1910

40)

6

41) 2123

A) 35 B) 653

C) 294 D) 14

41)

Write the improper fraction as a whole or mixed number.

42) 203

A) 23

B) 7 23

C) 5 27

D) 6 23

42)

43) 454

A) 10 14

B) 11 14

C) 12 14

D) 11 17

43)

44) 375

A) 6 25

B) 7 27

C) 8 25

D) 7 25

44)

45) 376

A) 5 16

B) 6 17

C) 6 16

D) 7 16

45)

46) 468

A) 5 67

B) 4 68

C) 5 68

D) 6 68

46)

47) 1547

A) 22 B) 222

C) 155 D) 153

47)

48) 1957

A) 195 1957

B) 27 67

C) 195 7195

D) 7195

48)

49) 9675

A) 2901 9675

B) 5967

C) 2901 5967

D) 193 25

49)

7

50) 233814

A) 167 B) 2337 C) 1672

D) 2339

50)

Find all the factors for the number.51) 30

A) 1, 2, 3, 5, 6, 10, 15, 30 B) 1, 2, 3, 5, 6, 10, 20, 30C) 1, 5, 6, 30 D) 5, 6, 10, 30

51)

52) 28A) 2, 7, 14, 28 B) 1, 2, 7, 14, 28C) 1, 2, 4, 7, 14, 28 D) 1, 2, 4, 7, 8, 14, 28

52)

53) 36A) 1, 2, 3, 4, 5, 6, 9, 10, 12, 18, 36 B) 2, 4, 6, 12, 18, 36C) 1, 2, 4, 6, 12, 18, 36 D) 1, 2, 3, 4, 6, 9, 12, 18, 36

53)

54) 45A) 1, 3, 5, 9, 15, 30, 45 B) 1, 2, 3, 5, 9, 15, 30, 45C) 1, 3, 5, 9, 15, 45 D) 1, 3, 5, 15, 45

54)

55) 56A) 1, 2, 4, 7, 8, 14, 28, 56 B) 1, 2, 3, 4, 7, 8, 14, 18, 28, 56C) 2, 4, 7, 8, 14, 28 D) 1, 2, 4, 7, 8, 14, 18, 28, 56

55)

56) 63A) 3, 5, 7, 9, 11, 21, 63 B) 1, 2, 3, 7, 9, 21, 36, 63C) 1, 3, 7, 9, 21, 63 D) 1, 3, 5, 7, 9, 11, 21, 63

56)

57) 66A) 1, 2, 3, 4, 11, 16, 22, 33, 66 B) 1, 2, 3, 9, 11, 22, 33, 66C) 1, 2, 3, 6, 11, 22, 33, 66 D) 1, 3, 11, 22, 33, 66

57)

58) 70A) 1, 3, 5, 7, 9, 15, 20, 35, 70 B) 1, 2, 5, 7, 35, 70C) 1, 2, 5, 7, 10, 14, 35, 70 D) 1, 2, 3, 5, 7, 9, 15, 35, 70

58)

59) 72A) 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72 B) 1, 2, 3, 4, 6, 8, 9, 12, 24, 36, 72C) 1, 2, 3, 4, 6, 9, 12, 14, 18, 24, 36, 72 D) 1, 2, 3, 4, 5, 6, 7, 8, 9, 12, 18, 24, 36, 72

59)

60) 84A) 1, 2, 3, 4, 7, 14, 21, 28, 42, 84 B) 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84C) 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

60)

Decide whether the number is prime or composite.61) 44

A) Prime B) Composite61)

8

62) 97A) Prime B) Composite

62)

63) 84A) Prime B) Composite

63)

64) 11A) Prime B) Composite

64)

65) 9A) Prime B) Composite

65)

Find the prime factorization of the number. Write the answer with exponents when repeated factors appear.66) 63

A) 72 B) 9 ∙ 7 C) 9 ∙ 3 D) 32 ∙ 766)

67) 134A) 22 ∙ 67 B) 22 C) 2 ∙ 65 D) 2 ∙ 67

67)

68) 448A) 26 ∙ 5 B) 25 ∙ 7 C) 26 ∙ 7 D) 25 ∙ 11

68)

69) 6A) 22 ∙ 32 B) 22 ∙ 3 C) 2 ∙ 3 D) 2 ∙ 32

69)

70) 110A) 2 ∙ 5 ∙ 11 B) 10 ∙ 11 C) 52 ∙ 2 D) 22 ∙ 11

70)

71) 350A) 14 ∙ 52 B) 2 ∙ 52 ∙ 7 C) 2 ∙ 5 ∙ 7 D) 22 ∙ 52 ∙ 7

71)

72) 612A) 23 ∙ 32 ∙ 17 B) 34 ∙ 17 C) 22 ∙ 32 ∙ 17 D) 24 ∙ 17

72)

73) 7425A) 33 ∙ 53 ∙ 11 B) 3 ∙ 54 ∙ 11 C) 34 ∙ 5 ∙ 11 D) 33 ∙ 52 ∙ 11

73)

74) 4400A) 23 ∙ 52 ∙ 11 B) 24 ∙ 52 ∙ 13 C) 24 ∙ 5 ∙ 11 D) 24 ∙ 52 ∙ 11

74)

75) 4680A) 23 ∙ 32 ∙ 5 ∙ 11 B) 23 ∙ 32 ∙ 13 C) 22 ∙ 33 ∙ 5 ∙ 13 D) 23 ∙ 32 ∙ 5 ∙ 13

75)

Determine whether the number is divisible by 2, 3, 4, 5, 6, 7, 8, 9, and/or 10.76) 30

A) 2, 3, 5, 6 B) 2, 3, 5, 10 C) 2, 3, 5, 6, 10 D) 2, 3, 576)

9

77) 14,200A) 2, 5, 8, 10 B) 2, 4, 5, 8 C) 2, 5, 4, 8, 10 D) 2, 4, 5

77)

78) 191A) 3, 7 B) None C) 3 D) 3, 5

78)

79) 3139A) 3 B) 3, 7 C) 3, 5 D) None

79)

80) 174,511A) 3, 7 B) 3 C) None D) 3, 5

80)

81) 1634A) 4 B) 2 C) 2, 3, 4 D) 3, 4

81)

82) 2442A) 2, 3, 4 B) 4, 5, 6 C) 3, 4, 6 D) 2, 3, 6

82)

83) 1705A) 2, 5, 10 B) 10 C) 5 D) 5, 10

83)

84) 1311A) 3 B) 9 C) 3, 9 D) 2, 3, 9

84)

85) 42,340A) 4, 5, 10 B) 4, 5 C) 2, 4, 5, 10 D) 2, 5

85)

Write the fraction in lowest terms.

86) 68

A) 34

B) 64

C) 43

D) 38

86)

87) 315

A) 115

B) 26

C) 15

D) 210

87)

88) 3035

A) 3035

B) 67

C) 57

D) 65

88)

89) 5577

A) 511

B) 117

C) 57

D) 5577

89)

10

90) 1547

A) 237

B) 723

C) 147

D) 1547

90)

91) 7090

A) 109

B) 79

C) 710

D) 7090

91)

92) 4857

A) 4857

B) 1619

C) 319

D) 163

92)

93) 100140

A) 520

B) 57

C) 100140

D) 207

93)

94) 247342

A) 247342

B) 1319

C) 1918

D) 1318

94)

95) 82020

A) 141

B) 42 C) 82020

D) 41

95)

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.

96) 1216

A) 2 ∙ 2 ∙ 32 ∙ 2 ∙ 2

= 32

B) 2 ∙ 2 ∙ 32 ∙ 2 ∙ 2 ∙ 2

= 34

C) 2 ∙ 2 ∙ 32 ∙ 2 ∙ 2 ∙ 2

= 32

D) 2 ∙ 32 ∙ 2 ∙ 2

= 34

96)

97) 3556

A) 2 ∙ 5 ∙ 72 ∙ 2 ∙ 2 ∙ 7

= 514

B) 5 ∙ 72 ∙ 2 ∙ 2 ∙ 7

= 58

C) 3 ∙ 72 ∙ 2 ∙ 7

= 218

D) 2 ∙ 2 ∙ 2 ∙ 72 ∙ 5 ∙ 7

= 145

97)

11

98) 4084

A) 2 ∙ 2 ∙ 5 ∙ 52 ∙ 2 ∙ 3 ∙ 7

= 2521

B) 2 ∙ 2 ∙ 2 ∙ 52 ∙ 2 ∙ 3 ∙ 7

= 1021

C) 2 ∙ 2 ∙ 2 ∙ 52 ∙ 2 ∙ 2 ∙ 7

= 53

D) 2 ∙ 2 ∙ 52 ∙ 3 ∙ 7

= 1021

98)

99) 320156

A) 2 ∙ 3 ∙ 2 ∙ 513

= 8039

B) 2 ∙ 2 ∙ 2 ∙ 2 ∙ 2 ∙ 2 ∙ 52 ∙ 2 ∙ 3 ∙ 13

= 320156

C) 2 ∙ 2 ∙ 2 ∙ 2 ∙ 2 ∙ 2 ∙ 52 ∙ 2 ∙ 3 ∙ 13

= 8039

D) 2 ∙ 2 ∙ 2 ∙ 2 ∙ 2 ∙ 52 ∙ 3 ∙ 13

= 8039

99)

Write the fractions in lowest terms. Then determine whether the pair of fractions is equivalent or not equivalent.

100) 58

and 100160

A) Equivalent B) Not equivalent

100)

101) 16

and 512

A) Equivalent B) Not equivalent

101)

102) 37

and 1923

A) Equivalent B) Not equivalent

102)

103) 13

and 1854

A) Equivalent B) Not equivalent

103)

104) 1025

and 820

A) Equivalent B) Not equivalent

104)

105) 4555

and 5477

A) Equivalent B) Not Equivalent

105)

Multiply. Write the answer in lowest terms.

106) 34

∙ 13

A) 37

B) 14

C) 47

D) 312

106)

12

107) 14

∙ 23

A) 37

B) 25

C) 16

D) 212

107)

108) 25

∙ 49

A) 109

B) 458

C) 845

D) 37

108)

109) 12

∙ 19

A) 18 B) 29

C) 211

D) 118

109)

110) 35

∙ 1229

A) 36145

B) 2920

C) 2029

D) 365

110)

111) 23

∙ 47 ∙ 5

6

A) 54

B) 3536

C) 863

D) 2063

111)

112) 35

∙ 12 ∙ 3

8

A) 45

B) 980

C) 910

D) 940

112)

113) 1225

∙ 4066

∙ 1532

A) 611

B) 344

C) 311

D) 322

113)

114) 4864

∙ 1627

∙ 4524

A) 56

B) 59

C) 524

D) 518

114)

Multiply. Write the answer in lowest terms and as a whole or mixed number where possible.

115) 27 ∙ 29

A) 6 B) 3 C) 8 D) 10 1172

115)

13

116) 15 ∙ 79

A) 727

B) 11 23

C) 7 D) 35

116)

117) 280 ∙ 17

A) 4 B) 40 C) 17

D) 2807

117)

118) 350 ∙ 25

A) 350 B) 140 C) 300 D) 120

118)

119) 23

∙ 111

A) 111 B) 74 C) 76 D) 55 12

119)

120) 15

∙ 149

A) 149 B) 29 45

C) 1745

D) 15

120)

121) 50 ∙ 310

∙ 521

A) 75 B) 3 47

C) 725

D) 514

121)

122) 7866

∙ 308 ∙ 214

A) 52 B) 48 C) 57 15

D) 52 45

122)

14

Find the area of the rectangle.123)

A = 49

foot

B = 12

foot

A) 29

square foot B) 411

square foot C) 418

square foot D) 511

square foot

123)

124)

A = 27

in.

B = 7 in.

A) 147

in.2 B) 517

in.2 C) 97

in.2 D) 2 in.2

124)

125)

A = 724

mi

B = 169

mi

A) 2333

mi2 B) 1427

mi2 C) 57

mi2 D) 112216

mi2

125)

Solve the problem. Write the answer in lowest terms and as a whole or mixed number where possible.

126) Find the area of a rectangular banner having a length of 24 feet and a width of 79

foot.

A) 7 ft2 B) 727

ft2 C) 18 23

ft2 D) 56 ft2

126)

127) Find the area of a rectangular table top having a length of 4 feet and a width of 114

feet.

A) 3 34

ft2 B) 111

ft2 C) 11 ft2 D) 7 12

ft2

127)

15

128) A rectangular parking lot measures 314

mile by 29

mile. Find the area of the parking lot.

A) 121

mi2 B) 523

mi2 C) 263

mi2 D) 5126

mi2

128)

129) Layer Cake A is 23

yard long and 14

yard wide. Layer Cake B is 12

yard long and 38

yard wide.

Which cake has the larger area?A) Layer Cake B B) Layer Cake A

129)

Solve the problem.

130) A rectangular parking lot measures 38

mile by 29

mile. Find the area of the parking lot.

A) 572

mi2 B) 112

mi2 C) 517

mi2 D) 118

mi2

130)

131) Find the area of a rectangular table top having a length of 5 feet and a width of 114

feet.

A) 4 ft2 B) 455

ft2 C) 8 ft2 D) 13 34

ft2

131)

132) A rectangular sheet of paper measures 13

foot by 27

foot. Find its area.

A) 221

ft2 B) 17

ft2 C) 37

ft2 D) 310

ft2

132)

133) A rectangular dog bed is 25

yard by 47

yard. Find its area.

A) 835

yd2 B) 67

yd2 C) 12

yd2 D) 635

yd2

133)

134) A warehouse stores 1575 different inventory items, of which 325

are perishable. How many of the

inventory items are perishable?A) 186 items B) 189 items C) 194 items D) 787 items

134)

135) Mr. and Mrs. Jones have a home equity loan of $18,200. They have paid off 814

of the loan. How

much of the loan have they paid off?A) $9600 B) $10400 C) $11200 D) $1300

135)

136) During elections at the local union, 324

of the members voted. If there are 120 members, how many

voted?A) 15 members B) 18 members C) 5 members D) 12 members

136)

16

137) A restaurant has a capacity of 266 patrons. If the restaurant is 319

full, how many patrons are at the

restaurant?A) 45 patrons B) 14 patrons C) 39 patrons D) 42 patrons

137)

138) Rich can machine 32 units in 8 hours. How many units can he machine in 4 hours?A) 1 unit(s) B) 16 units C) 4 units D) 128 units

138)

139) Karen can ride her bike 30 miles in 6 hours. How many miles can she ride in 4 hours?A) 20 miles B) 5 miles C) 1 mile(s) D) 120 miles

139)

140) One fifth of Mary's earned income is deducted from her paycheck for withholdings. Three fourthsof the withholdings are for taxes. What fraction of Mary's earned income is deducted for taxes?

A) 15

B) 320

C) 49

D) 415

140)

141) One fifth of Joan's earned income is deducted for withholdings. Three tenths of the withholdingsare for federal income tax. What fraction of Joan's earned income is deducted for federal incometax?

A) 350

B) 225

C) 415

D) 23

141)

142) One fifth of Joe's earned income is deducted for withholdings. One third of the withholdings arefor social security (FICA). What fraction of Joe's earned income is deducted for social security?

A) 14

B) 35

C) 215

D) 115

142)

143) A certain scholarship will pay for 38

of a student's total tuition. How much will a student who

receives this scholarship pay toward tuition, if tuition is $800?A) $794 B) $500 C) $300 D) $750

143)

17

Use the circle graph to answer the question.144) Last year, one family ate fast food 576 times. The circle graph shows the types of food eaten for the

year. Find the number of times chicken was eaten.

A) 144 times B) 4608 times C) 72 times D) 192 times

144)

145) On a typical night at Skinny's Pizza, 240 pizzas are ordered. How many cheese pizzas are ordered?

A) 48 pizzas B) 60 pizzas C) 80 pizzas D) 56 pizzas

145)

The following table shows the earnings for the Juarez family last year. Use this information to answer the question.

Month Earnings Month EarningsJan. $1400 July $1300Feb. $1150 Aug. $2450Mar. $2950 Sept. $2500Apr. $2300 Oct. $2000May $1650 Nov. $2350June $2700 Dec. $2400

146) What was the family's total income from January thru June?A) $11,000 B) $12,150 C) $13,000 D) $9,200

146)

18

147) What was the family's total income for the year?A) $23,750 B) $25,150 C) $24,000 D) $22,000

147)

148) If the family paid 950

of their total income in taxes for the year, how much was paid in taxes?

A) $3780 B) $4527 C) $4860 D) $5328

148)

149) If 110

of the family's total income was spent on clothing, how much was spent for clothing last

year?A) $2700 B) $2900 C) $2515 D) $2400

149)

150) The family saved 9100

of their total income each month. How much savings did they have at the

end of June?A) $1170 B) $1044 C) $828 D) $1093.50

150)

151) The family saved 425

of their total income each month. How much savings did they have at the

end of the year?A) $4320 B) $4736 C) $3360 D) $4024

151)

152) The family used 11100

of their income for food purchases. How much did they spend on food

purchases for the year?A) $2310 B) $2970 C) $2766.50 D) $3256

152)

153) The family used 17100

of their income on rent payments. How much did they spend on rent for the

year?A) $5032 B) $4590 C) $3570 D) $4275.50

153)

154) If 14

of the family income is spent on entertainment, how much did they spend for entertainment

last year?A) $6750 B) $7400 C) $5250 D) $6287.50

154)

155) Other expenses account for 750

of the family income. How much was spent last year on other

expenses?A) $2940 B) $2800 C) $3521 D) $3864

155)

Find the reciprocal.

156) 817

A) 18

B) 817

C) 178

D) 17

156)

19

157) 112

A) 112

B) 1 C) 12 D) No reciprocal

157)

158) 5

A) 15

B) 5 C) 1 D) No reciprocal

158)

159) 1411

A) 111

B) 1114

C) 114

D) 11

159)

Divide. Write the answer in lowest terms and as a whole or mixed number where possible.

160) 34

÷ 45

A) 35

B) 12 C) 112

D) 1516

160)

161) 13

÷ 75

A) 17

B) 1 23

C) 521

D) 4 15

161)

162) 16

÷ 56

A) 1 15

B) 15

C) 5 D) 56

162)

163) 38

÷ 34

A) 12

B) 332

C) 10 23

D) 2

163)

164) 25

÷ 58

A) 1 916

B) 1625

C) 14

D) 4

164)

165) 47

÷ 85

A) 3235

B) 1 332

C) 2 45

D) 514

165)

20

166) 53

÷ 13

A) 5 B) 15

C) 59

D) 1 45

166)

167) 513

÷ 3091

A) 67

B) 5 56

C) 1 16

D) 1501183

167)

168)34

13

A) 14

B) 34

C) 2 14

D) 711

168)

169)512518

A) 1 12

B) 25216

C) 23

D) 7 12

169)

170) 15 ÷ 37

A) 5 B) 35 C) 6 37

D) 135

170)

171) 6 ÷ 15

A) 1 15

B) 130

C) 30 D) 6

171)

172) 18 ÷ 35

A) 130

B) 30 C) 10 45

D) 6

172)

173) 2 ÷ 32

A) 3 B) 34

C) 1 13

D) 16

173)

21

174) 74

÷ 2

A) 78

B) 27

C) 18

D) 3 12

174)

175) 710

÷ 1

A) 107

B) 710

C) 711

D) 1 37

175)

176) 67

÷ 2

A) 1 57

B) 2 13

C) 3 D) 37

176)

177)18

25

A) 45 B) 7 15

C) 145

D) 18

177)

178)10

27

A) 35 B) 2 67

C) 135

D) 5

178)

179)

2035

A) 34

B) 33 13

C) 4 D) 1 13

179)

Solve the problem.

180) A land developer wants to develop 6 acres of land. Each lot in the development is to be 14

of an

acre. How many lots will the land developer have in the 6 acres?

A) 6 lots B) 112

lot C) 24 lots D) 1 12

lot(s)

180)

22

181) A box of cereal contains about 12 cups. A serving size is 34

cup. About how many servings are in

the box of cereal?

A) 16 servings B) 9 servings C) 5 13

servings D) 3 34

servings

181)

182) A bag of chips weighs 24 ounces. A serving size is 34

ounce. How many servings are in the bag of

chips?

A) 9 13

servings B) 18 servings C) 32 servings D) 6 34

servings

182)

183) A bottle of ketchup has a net weight of 22 ounces. A serving size is 12

ounce. How many servings

are in the bottle of ketchup?

A) 24 servings B) 11 servings C) 22 12

servings D) 44 servings

183)

184) A child's dose of medicine is 16

of a pre-measured dose cup. If the bottle of medicine is the size of

9 dose cups, how many children's doses are there in the bottle?

A) 1 12

dose(s) B) 15 doses C) 54 doses D) 9 16

doses

184)

185) A worker has readings that take 23

minute each to read and record. How many readings can be

completed in 48 minutes?A) 72 readings B) 16 readings C) 32 readings D) 18 readings

185)

186) The floor of a rectangular room is to be tiled with 13 -foot square tiles along a 12-foot wall. How

many tiles will be needed along the wall?

A) 37 tiles B) 12 13

tiles C) 36 tiles D) 4 tiles

186)

187) A piece of cheese weighing 23

pound is to be divided into 4 equal portions. What will be the weight

of each portion?

A) 6 pounds B) 16

pound C) 23

pound(s) D) 2 23

pound(s)

187)

23

188) A piece of cable which is 23

m long is to be cut into pieces 19

m long. How many pieces will there

be?

A) 6 pieces B) 16

piece C) 27 pieces D) 18 pieces

188)

189) The recipe for a chocolate chip cake calls for 23

pound of chocolate chips. If a bakery wants to make

24 cakes, how many pounds of chocolate chips will they need?A) 14 pounds B) 12 pounds C) 8 pounds D) 16 pounds

189)

190) An upholsterer wants to reupholster 120 chairs for a banquet hall. If each chair needs 13

pound of

brass tacks, how many pounds of brass tacks are needed?A) 4 pounds B) 360 pounds C) 36 pounds D) 40 pounds

190)

191) A mechanic uses on average 45

gallon(s) of gear lube to service each tractor differential. Find the

number of tractors that can be serviced with 16 gallons of gear lube.

A) 4 tractors B) 64 tractors C) 12 45

tractors D) 20 tractors

191)

192) A building contractor finds that 25

can of pipe joint compound is needed to plumb each new home.

How many homes can be plumbed with 12 cans of compound?

A) 15 homes B) 4 45

homes C) 12 homes D) 30 homes

192)

193) Jeremy has traveled 67

of his total trip. If the trip is a total of 749 miles, how many miles has he

gone?

A) 642 miles B) 107 miles C) 321 miles D) 91 57

miles

193)

194) Susan has been working on a job that will require 40 hours to complete. If she has completed 45

of

the job, how many hours has she worked?

A) 8 hours B) 32 hours C) 16 hours D) 6 25

hours

194)

195) A scarf manufacturer requires 35

yard of fabric for each scarf produced. Find the number of

scarves that can be made from 867 yards of fabric.A) 347 scarves B) 1445 scarves C) 2168 scarves D) 520 scarves

195)

24

196) Each patient will receive 910

vial of medication. How many patients can be treated with 4950 vials

of medication?A) 4455 patients B) 8910 patients C) 550 patients D) 5500 patients

196)

Multiply to find the exact answer. Express the answer as a whole or mixed number when possible and simplify.

197) 4 45

∙ 4 38

A) 21 B) 22 C) 16 1240

D) 23

197)

198) 3 13

∙ 1 15

A) 7 B) 3 215

C) 5 D) 4

198)

199) 2 47

∙ 2 13

A) 5 B) 6 C) 4 D) 2

199)

200) 3 47

∙ 14

A) 42 B) 294 C) 17 47

D) 50

200)

201) 8 ∙ 2 1718

A) 23 79

B) 23 59

C) 10 59

D) 16 1718

201)

202) 4 ∙ 5 516

A) 20 B) 21 14

C) 20 14

D) 20 516

202)

203) 2 16

∙ 37

A) 2 342

B) 1314

C) 1 1314

D) 1114

203)

204) 1 14

∙ 17 ∙ 4

5

A) 25

B) 135

C) 27

D) 17

204)

25

205) 3 ∙ 5 29

∙ 45

A) 12 815

B) 8 1215

C) 12 715

D) 11 815

205)

206) 4 27

∙ 5 ∙ 35

A) 12 67

B) 20 1021

C) 9 67

D) 20 67

206)

Divide to find the exact answer. Express the answer as a whole or mixed number when possible and simplify.

207) 5 89

÷ 1 59

A) 3 1114

B) 4 1114

C) 3 1113

D) 3 1214

207)

208) 5 89

÷ 1 16

A) 5 121

B) 5 120

C) 5 221

D) 6 121

208)

209) 2 23

÷ 1 29

A) 2 311

B) 2 211

C) 2 210

D) 3 211

209)

210) 5 18

÷ 1 35

A) 4 1364

B) 3 1464

C) 3 1363

D) 3 1364

210)

211) 44 ÷ 3 23

A) 12 B) 13 C) 10 12

D) 11

211)

212) 4 47

÷ 8

A) 37

B) 46

C) 57

D) 47

212)

213) 1 17

÷ 17

A) 7 B) 9 C) 6 12

D) 8

213)

26

Refer to the following recipe to first estimate the answer and then use multiplication or division to find the exactanswer. Simplify.

Old Grandma's Fork Cookies

1 12

cups brown sugar

1 12

cups white sugar

1 14

cups shortening

1 pinch salt3 eggs

2 12

tsp soda

2 14

tsp cream of tartar

1 12

tsp vanilla

Cream sugars and shortening. Beat in remaining ingredients. Add flour to stiffen like regular cookie dough. Roll intoballs, then flatten with a fork. Cook until brown.

214) If the recipe is tripled, how much soda will be needed?

A) Estimate: 9 tsp

Exact: 7 12

tsp

B) Estimate: 6 tsp

Exact: 6 34

tsp

C) Estimate: 7 12

tsp

Exact: 9 tsp

D) Estimate: 9 tbsp

Exact: 7 12

tbsp

214)

215) Find the amount of vanilla needed if the recipe is halved.

A) Estimate: 34

tsp

Exact: 1 tsp

B) Estimate: 12

tsp

Exact: 1 12

tsp

C) Estimate: 1 tsp

Exact: 34

tsp

D) Estimate: 2 tspExact: 3 tsp

215)

216) Find the amount of white sugar needed if you take 2 12

times the recipe.

A) Estimate: 3 cupsExact: 3 cups

B) Estimate: 6 cups

Exact: 3 34

cups

C) Estimate: 3 34

cups

Exact: 5 cups

D) Estimate: 4 cups

Exact: 3 34

cups

216)

27

217) Find the amount of cream of tartar needed if you take 1 12

times the recipe.

A) Estimate: 4 tsp

Exact: 334

tsp

B) Estimate: 6 tsp

Exact: 3 38

tsp

C) Estimate: 4 tsp

Exact: 338

tsp

D) Estimate: 3 34

tsp

Exact: 6 tsp

217)

Solve the problem.

218) A small company sells stock for 8 58

dollars per share. How much will 160 shares cost?

A) 18 3869

dollars B) 1380 dollars C) 165 dollars D) 160 dollars

218)

219) Tim needs to apply 3 34

gallons of herbicide per acre of soybeans. How many gallons of herbicide

are needed for 312 acres?

A) 1170 gallons B) 234 34

gallons C) 83 15

gallons D) 237 gallons

219)

220) On a certain map, 1 inch equals 40 miles. How many miles are in 3 14

inches?

A) 130 miles B) 30 14

miles C) 12 413

miles D) 31 miles

220)

221) A statistician has readings that take 1 23

minutes each to read and record. How many readings can

be completed in 120 minutes?A) 14 readings B) 42 readings C) 200 readings D) 72 readings

221)

222) The floor of a rectangular room is to be tiled with 13

foot square tiles along a 9 38

foot wall. How

many tiles will be needed along the wall?

A) 27 38

tiles B) 30 tiles C) 3 18

tiles D) 28 18

tiles

222)

223) Stock in a company is selling for $11 12

per share. If someone purchased $4140 worth of stock in

this company, how many shares did they get?

A) 16,560 shares B) 4140 shares C) 360 shares D) 551 12

shares

223)

28

224) It requires 1 14

cups of concentrate per quart of water to make a certain juice. How many cups are

needed to make 7 34

quarts of juice?

A) 155 cups B) 38 34

cups C) 6 15

cups D) 9 1116

cups

224)

225) A car traveled 141 miles on 9 25

gallons of gas. How many miles per gallon did it get?

A) 15 23

mpg B) 15 59

C) 16 mpg D) 15 mpg

225)

Provide an appropriate response.

226) When the numerator is the same as the denominator, for example 55

, the fraction is called a(n)

fraction.A) proper B) whole C) uncommon D) improper

226)

227) A proper fraction has the form x18

. What is the largest possible number that x can be?

A) 18 B) 19 C) 17 D) 9

227)

228) You are asked to change 18 711

to an improper fraction. What should be your first step?

A) Add 18 and 7. B) Divide 7 by 11.C) Multiply 7 and 18. D) Multiply 11 and 18.

228)

229) You are asked to change 3029

to a mixed number. What should be your first step?

A) Divide 30 by 29. B) Multiply 30 and 29.C) Add 30 and 29. D) Divide 29 by 30.

229)

230) A prime number has exactly factor(s).A) 2 B) 0 C) 1 D) 3

230)

231) The only consecutive whole numbers that are both prime numbers are and .A) 0 and 1 B) 6 and 7 C) 1 and 2 D) 2 and 3

231)

232) One way to determine if two fractions are equivalent is to use .A) simplification B) common factorsC) the method of prime factors D) equivalent terms

232)

233) Multiply two fractions by the numerators and the denominators.A) multiplying; multiplying B) multiplying; cancelingC) multiplying; adding D) adding; multiplying

233)

29

234) 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 35

, the

answer is the fraction.A) always greater than B) always less thanC) sometimes greater than D) cannot be determined

234)

235) Finish the statement with a correct response. To divide two fractions one needs to:A) Add the numerators and multiply the denominators.B) Use the reciprocal of the second fraction (divisor), add the numerators and multiply the

denominators.C) Use the reciprocal of the second fraction (divisor) and multiply.D) Add the numerators and factor the denominators.

235)

30

Answer KeyTestname: UNTITLED2

1) B2) B3) B4) B5) D6) B7) B8) C9) D

10) D11) A12) A13) A14) D15) B16) A17) C18) C19) A20) C21) C22) B23) B24) D25) A26) D27) B28) A29) D30) C31) A32) C33) C34) C35) D36) D37) B38) B39) A40) A41) B42) D43) B44) D45) C46) C47) A48) B49) D50) A

31

Answer KeyTestname: UNTITLED2

51) A52) C53) D54) C55) A56) C57) C58) C59) A60) B61) B62) A63) B64) A65) B66) D67) D68) C69) C70) A71) B72) C73) D74) D75) D76) C77) C78) B79) D80) C81) B82) D83) C84) A85) C86) A87) C88) B89) C90) D91) B92) B93) B94) D95) D96) B97) B98) B99) C

100) A32

Answer KeyTestname: UNTITLED2

101) B102) B103) A104) A105) B106) B107) C108) C109) D110) A111) D112) B113) D114) A115) A116) B117) B118) B119) B120) B121) B122) A123) A124) D125) B126) C127) C128) A129) A130) B131) D132) A133) A134) B135) B136) A137) D138) B139) A140) B141) A142) D143) B144) C145) A146) B147) B148) B149) C150) D

33

Answer KeyTestname: UNTITLED2

151) D152) C153) D154) D155) C156) C157) C158) A159) B160) D161) C162) B163) A164) B165) D166) A167) C168) C169) A170) B171) C172) B173) C174) A175) B176) D177) A178) A179) D180) C181) A182) C183) D184) C185) A186) C187) B188) A189) D190) D191) D192) D193) A194) B195) B196) D197) A198) D199) B200) D

34

Answer KeyTestname: UNTITLED2

201) B202) B203) B204) D205) A206) A207) A208) A209) B210) D211) A212) D213) D214) A215) C216) B217) C218) B219) A220) A221) D222) D223) C224) D225) D226) D227) C228) D229) A230) A231) D232) C233) A234) A235) C

35