CHAPTER 2, FORM A BASIC COLLEGE MATHEMATICSaplustestbank.eu/sample/Test-Bank-for-Basic-College-Mathematics-… · BASIC COLLEGE MATHEMATICS Chapter 2, Form A T-24 13. 515 916 y 13.

T-23

CHAPTER 2, FORM A BASIC COLLEGE MATHEMATICS NAME: ____________________ SECTION: __________

Use a fraction to represent the shaded portions. 1. 1. ___________________ 2. 2. ___________________ 3. Name all the proper fractions. 3. ___________________

5 7 3 6 1 14

, , , , ,6 8 2 6 9 11

4. Write 3

54 as an improper fraction. 4. ___________________

5. Write 114

7 as a mixed number. 5. ___________________

6. Find all the factors of 24. 6. ___________________ Find the prime factorization of each number. Write the answer using exponents. 7. 116 7. ___________________ 8. 64 8. ___________________ 9. 400 9. ___________________ Write each fraction in lowest terms.

10. 18

27 10. __________________

11. 56

72 11. ___________________

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

12. 4 21

7 8⋅ 12. ___________________

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BASIC COLLEGE MATHEMATICS Chapter 2, Form A

T-24

13. 5 15

9 16÷ 13. ___________________

14. 34

8 14. ___________________

15. Find the reciprocal of 3

8 . 15. ___________________

16. Find the area of a rectangular picture frame measuring 16. ___________________ 9

14 meter by 23 meter.

17. 3

4 of all freshmen at Marion Community College take 17. ___________________

Fundamentals of Mathematics. If there are 2400 freshmen, how many of them take Fundamentals of Mathematics? 18. If 20 cups of syrup are poured into 4

5 -cup containers, 18. ___________________

how many containers can be filled?

For Problems 19−23, first estimate the answer. Then either multiply or divide to find the exact answer. Write the answer as a mixed number. 19. 1 4

6 57 1⋅ 19. ___________________

20. 2 1

3 51 5⋅ 20. ___________________

21. 3 1

4 64 1÷ 21. ___________________

22. 34

13

8

2 22. ___________________

23. Each loaf of banana bread contains 1

23 ounces of nuts. 23. ___________________

How many ounces of nuts are in 9 loaves? 24. Explain in your own words how to change an improper 24. ___________________ fraction to a mixed number. Give an example showing how this is done. 25. In your own words, explain the difference between a 25. ___________________ proper fraction and an improper fraction. Give an example of each.


T-25

CHAPTER 2, FORM B BASIC COLLEGE MATHEMATICS NAME: ____________________ SECTION: __________

Use a fraction to represent the shaded portions. 1. 1. ___________________ 2. 2. ___________________ 3. Name all the improper fractions. 3. ___________________

4 9 2 5 6 12

, , , , ,5 8 3 5 5 17

4. Write 3


5. Write 107

8 as a mixed number. 5. ___________________


10. 18

64 10. __________________

11. 39

91 11. ___________________


12. 5 3

6 4⋅ 12. ___________________


BASIC COLLEGE MATHEMATICS Chapter 2, Form B

T-26

13. 8 6

9 7÷ 13. ___________________

14. 23

16 14. ___________________

15. Find the reciprocal of 9. 15. ___________________ 16. Find the area of a rectangular window measuring 16. ___________________ 1


17. 3

5 of all the students at Clover Valley Academy are 17. ___________________

male. If Clover Valley has 1600 students, how many are male? 18. If a 15-foot log is cut into pieces 3

4 foot long, how 18. ___________________

many pieces will there be altogether?


8 34 3⋅ 19. ___________________

20. 51

2 66 1⋅ 20. ___________________

21. 3 1

4 55 2÷ 21. ___________________

22. 23

45

4

3 22. ___________________

23. If it snows 3

41 inches per hour, how long will it take to 23. ___________________

accumulate 10 inches of snow? 24. In your own words, write a definition of a prime number. 24. ___________________ Give an example of two different prime numbers. 25. Explain in your own words how to multiply two fractions. 25. ___________________ Give an example showing how this is done.


T-27

CHAPTER 2, FORM C BASIC COLLEGE MATHEMATICS NAME: ____________________ SECTION: __________


4 7 6 13 1 14

, , , , ,3 11 6 19 12 5

4. Write 5


5. Write 119

6 as a mixed number. 5. ___________________


10. 24

32 10. __________________

11. 54

81 11. ___________________


12. 2 3

9 16⋅ 12. ___________________

13. 5

168⋅ 13. ___________________


BASIC COLLEGE MATHEMATICS Chapter 2, Form C

T-28

14. 34

16 14. ___________________


7 . 15. ___________________

16. Find the area of a rectangular window measuring 16. ___________________ 3


17. 3

4 of all freshmen at Coastline Community College 17. ___________________

take history. If there are 1200 freshmen, how many of them take history? 18. If 24 cups of honey are poured into 2

3 -cup containers, 18. ___________________



3 55 1⋅ 19. ___________________

20. 3 7

4 88 2⋅ 20. ___________________

21. 5 1

8 75 2÷ 21. ___________________

22. 13

56

6

2 22. ___________________

23. Each serving of meat loaf contains 1

24 ounces of meat. 23. ___________________

How many ounces of meat are in 7 servings? 24. Explain in your own words how to change an improper 24. ___________________ fraction to a mixed number. Give an example how this is done. 25. In your own words, write a definition of a fraction in 25. ___________________ lowest terms. Give two examples of fractions expressed in lowest terms.


T-29

CHAPTER 2, FORM D BASIC COLLEGE MATHEMATICS NAME: ____________________ SECTION: __________


7 3 9 12 4 5

, , , , ,5 4 10 12 7 2

4. Write 2


5. Write 119

8 as a mixed number. 5. ___________________


10. 6

21 10. __________________

11. 56

64 11. ___________________


12. 7 4

8 5⋅ 12. ___________________


BASIC COLLEGE MATHEMATICS Chapter 2, Form D

T-30

13. 9 3

25 15÷ 13. ___________________

14. 45

16 14. ___________________


3 . 15. ___________________

16. Find the area of a rectangular flagstone that measures 16. ___________________ 7


17. 1

3 of all apartments are single bedroom units. If 825 17. ___________________

apartments are rented, how many are single bedroom units? 18. If a 21-foot log is cut into pieces 7

8 foot long, how many 18. ___________________

pieces will there be altogether?


8 37 2⋅ 19. ___________________

20. 3 2

4 34 6⋅ 20. ___________________

21. 3 2

8 35 2÷ 21. ___________________

22. 13

47

6

1 22. ___________________

23. If elephant grass grows 1

22 inches a day, how long will 23. ___________________

it grow in 7 days? 24. In your own words, write a definition of a prime number. 24. ___________________ Give an example of two different prime numbers. 25. Explain in your own words how to divide two fractions. 25. ___________________ Give an example showing how this is done.


T-31

CHAPTER 2, FORM E BASIC COLLEGE MATHEMATICS NAME: ____________________ SECTION: __________


2 8 7 4 2

, , , ,9 5 6 11 2

4. Write 4


5. Write 124

9 as a mixed number. 5. ___________________


10. 45

60 10. __________________

11. 18

99 11. ___________________


12. 4 3

9 8⋅ 12. ___________________


BASIC COLLEGE MATHEMATICS Chapter 2, Form E

T-32

13. 5

147⋅ 13. ___________________

14. 3 9

10 14÷ 14. ___________________


10 . 15. ___________________

16. Find the area of a rectangular window measuring 16. ___________________ 4


17. 5

7 of all the trees in Beachwood Park are hardwoods. 17. ___________________

If there are 2100 trees, how many of them are hardwoods? 18. If 15 cups of syrup are poured into 3

4 -cup containers, 18. ___________________



4 52 2⋅ 19. ___________________

20. 31

2 44 5⋅ 20. ___________________

21. 7 1

8 43 2÷ 21. ___________________

22. 23

16

5

2 22. ___________________

23. If a river is rising by 1

22 inches a day, how much will it 23. ___________________

rise in 7 days? 24. In your own words, write a definition of a proper fraction. 24. ___________________ Give two examples of proper fractions. 25. Explain in your own words how to write a fraction in 25. ___________________ lowest terms. Give an example showing how this is done.


T-33

CHAPTER 2, FORM F BASIC COLLEGE MATHEMATICS NAME: ____________________ SECTION: __________


2 4 5 13 6

, , , ,9 3 11 13 17

4. Write 1


5. Write 115

9 as a mixed number. 5. ___________________


10. 28

35 10. __________________

11. 72

96 11. ___________________


12. 5

147⋅ 12. ___________________


BASIC COLLEGE MATHEMATICS Chapter 2, Form F

T-34

13. 3 9

8 10÷ 13. ___________________

14. 9

10

15 14. ___________________

15. Find the reciprocal of 12. 15. ___________________ 16. Find the area of a rectangular window measuring 16. ___________________ 3


17. 3

5 of all apartments are single bedroom units. If 800 17. ___________________

apartments are rented, how many are single bedroom units? 18. If a 16-foot pipe is cut into pieces 4

7 foot long, how many 18. ___________________

pieces will there be altogether?

For Problems 19−23, first estimate the answer. Then either multiply or divide to find the exact answer. Write the answer as a mixed number, as needed. 19. 1 2

2 52 3⋅ 19. ___________________

20. 2 1

3 43 5⋅ 20. ___________________

21. 31

3 51 5÷ 21. ___________________

22. 78

16

5

2 22. ___________________

23. Each serving of meat loaf contains 1

25 ounces of meat. How 23. ___________________

many ounces of meat are in 9 servings? 24. In your own words, write a definition of a proper fraction. 24. ___________________ Give two examples of proper fractions. 25. Explain in your own words how to determine if two fractions 25. ___________________ are equivalent. Give an example showing how this is done.


T-35

CHAPTER 2, FORM G BASIC COLLEGE MATHEMATICS NAME: ____________________ SECTION: __________

Choose the best answer. For problems 1–2, determine which fraction represents the shaded portion.

1. A. 1

4 B.

1

12 C.

5

12 D.

4

1 1. __________

2. A. 4

5 B.

5

9 C.

5

4 D.

4

9 2. __________

3. Name all the proper fractions. 3. __________

4 9 2 7 12 3

, , , , ,7 9 3 5 11 4

A. 4 9 2 3

, , ,7 9 3 4

B. 9 7 12

, ,9 5 11

C. 4 2 3

, ,7 3 4

D. 7 12

,5 11

4. Write 2

57 as an improper fraction. 4. __________

A. 37

5 B.

19

5 C.

19

2 D.

17

5

5. Write 104

7 as a mixed number. 5. __________

A. 7146 B. 7

614 C. 6714 D. 14

6. Find all the factors of 12. 6. __________ A. 2, 3, 4, 6 B. 1, 2, 3, 4, 6, 12 C. 1, 12 D. 1, 2, 3 Find the prime factorization of each number. Write the answer using exponents. 7. 72 7. __________ A. 32 3⋅ B. 3 8⋅ C. 3 22 3⋅ D. 31 2 3⋅ ⋅ 8. 102 8. __________ A. 1 102⋅ B. 2 51⋅ C. 1 2 51⋅ ⋅ D. 2 3 17⋅ ⋅ 9. 300 9. __________ A. 1 300⋅ B. 2 22 3 5⋅ ⋅ C. 3 100⋅ D. 22 75⋅


BASIC COLLEGE MATHEMATICS Chapter 2, Form G

T-36

Write each fraction in lowest terms.

10. 21

28 10. _________

A. 3

4 B.

18

24 C.

9

12 D.

2

3

11. 72

84 11. _________

A. 8

9 B.

36

42 C.

18

21 D.

6

7


12. 2 3

3 4⋅ 12. _________

A. 6

12 B.

1

2 C.

8

9 D. 1

81

13. 3

244

÷ 13. _________

A. 32 B. 18 C. 9 D. 2

14. 7 5

8 6÷ 14. _________

A. 21

20 B. 1

201 C. 35

48 D.

20

21


5 . 15. _________

A. 152 B.

2

5 C. 1

25 D. 5

2

16. Find the area of a rectangular piece of land measuring 1

2 by 56 mile. 16. _________

A. 6

8 square mile B.

5

12 square mile

C. 252 square miles D.

3

4 square mile

17. 2

3 of all students at Coe Community College receive financial aid. 17. _________

If there are 2400 students total, how many receive financial aid? A. 1600 students B. 800 students C. 3600 students D. 1200 students 18. If 108 pounds of peas are packed in 3

4 -pound bags, how many bags 18. _________

will there be altogether? A. 81 bags B. 27 bags C. 144 bags D. 54 bags


Chapter 2, Form G BASIC COLLEGE MATHEMATICS

T-37

Multiply or divide. 19. 3 1

5 36 2÷ 19. _________

A. 1212 B. 2

515 C. 29352 D. 5

912

20. 4 1

5 81 7⋅ 20. _________

A. 1107 B. 5

138 C. 24

95 D. 33

4012

21. 7 2

8 35 3÷ 21. _________

A. 53881 B. 13

2421 C. 1223 D.

88

141

22. 56

13

3

1 22. _________

A. 195 B.

8

23 C. 7

82 D. 126

23. If it rains 1

43 inches per week, how much rain will fall over 125 weeks? 23. _________

A. 1815 inches B. 7

817 inches C. 15 inches D. 348 inches

24. Which of the following are equivalent fractions? 24. _________

A. 7 14

and 8 18

B. 2 4

and 3 9

C. 5 10

and 6 11

D. 3 9

and 4 12

25. Which one of the following fractions is in lowest terms? 25. _________

A. 8

12 B.

7

11 C.

8

8 D.

2

14



T-39

CHAPTER 2, FORM H BASIC COLLEGE MATHEMATICS NAME: ____________________ SECTION: __________

Choose the best answer. For problems 1–2, determine which fraction represents the shaded portion. 1. 1. __________

A. 7

5 B.

5

7 C.

5

12 D.

7

12

2. 2. __________

A. 4

9 B.

5

9 C.

5

4 D.

4

5

3. Name all the improper fractions. 3. __________

7 9 2 4 9 12

, , , , ,6 10 2 3 8 19

A. 9 12

,10 19

B. 9 2 12

, ,10 2 19

C. 7 4 9

, ,6 3 8

D. 7 2 4 9

, , ,6 2 3 8

4. Write 5

68 as an improper fraction. 4. __________

A. 46

6 B.

48

6 C.

53

6 D.

46

5

5. Write 133

9 as a mixed number. 5. __________

A. 7914 B. 9

714 C. 129 D. 9

147

6. Find all the factors of 18. 6. __________ A. 1, 18 B. 2, 3, 6, 9 C. 1, 2, 3 D. 1, 2, 3, 6, 9, 18 Find the prime factorization of each number. Write the answer using exponents. 7. 36 7. __________ A. 1 36⋅ B. 4 9⋅ C. 2 22 3⋅ D. 2 18⋅ 8. 54 8. __________ A. 1 54⋅ B. 6 9⋅ C. 32 3⋅ D. 2 3 9⋅ ⋅ 9. 440 9. __________ A. 32 5 11⋅ ⋅ B. 8 55⋅ C. 1 440⋅ D. 44 10⋅


BASIC COLLEGE MATHEMATICS Chapter 2, Form H

T-40

Write each fraction in lowest terms.

10. 32

40 10. _________

A. 16

20 B.

3

4 C.

32

40 D.

4

5

11. 96

108 11. _________

A. 96

108 B.

16

18 C.

8

9 D.

2

3


12. 5 3

6 4⋅ 12. _________

A. 10

9 B.

15

24 C.

9

10 D.

5

8

13. 5 3

8 10÷ 13. _________

A. 3

16 B. 1

35 C. 1122 D.

12

25

14. 6

11

24 14. _________

A. 1913 B. 4 C.

4

11 D. 44


8 . 15. _________

A. 8

9 B. 1

81 C. 9 D. 9

8

16. Find the area of a rectangular piece of land measuring 3

4 by 78 mile. 16. _________

A. 161 square mile B. 21

32 square mile

C. 732 square mile D. 6

7 square mile

17. 5

7 of all students at Judson Tech Community College receive 17. _________

financial aid. If there are 2100 students total, how many receive financial aid? A. 2940 students B. 300 students C. 420 students D. 1500 students 18. If 18 pounds of peas are packed in 2

3 -pound bags, how many bags 18. _________

will there be altogether? A. 12 bags B. 9 bags C. 27 bags D. 36 bags


Chapter 2, Form H BASIC COLLEGE MATHEMATICS

T-41

Multiply or divide. 19. 2 1

3 45 3⋅ 19. _________

A. 51218 B. 1

615 C. 29391 D. 7

1215

20. 3 5

5 81 4⋅ 20. _________

A. 384 B. 64

185 C. 1407 D. 2

57

21. 32

3 85 4÷ 21. _________

A. 311051 B. 7

937 C. 105

136 D. 7

1628

22. 25

13

3

1 22. _________

A. 8154 B. 11

202 C. 17

20 D. 1

54

23. If a highway department can resurface 1

43 miles of state highway 23. _________

per day, how many miles can they resurface in 125 days?

A. 7817 miles B. 15 miles C. 1

815 miles D. 3416 miles

24. Which of the following are equivalent fractions? 24. _________

A. 3 9

and 4 16

B. 7 2

and 8 16

C. 2 8

and 3 12

D. 1 6

and 2 16

25. Which one of the following fractions is in lowest terms? 25. _________

A. 8

9 B.

6

9 C.

7

7 D.

5

10



BASIC COLLEGE MATHEMATICS Answers to Chapter Test Forms

A-10

Chapter 2, Form A 1. 5

8

2. 7

10

3. 5 7 1

6 8 9, ,

4. 23

5

5. 2

716

6. 1, 2, 3, 4, 6, 8, 12, 24 7. 22 29⋅ 8. 62 9. 4 22 5⋅ 10. 2

3

11. 7

9

12. 1

21

13. 16

27

14. 2

310

15. 8

3

16. 3

7 square meter

17. 1800 freshmen 18. 25 containers 19. Estimate: 7 2 14⋅ =

Exact: 91012

20. Estimate: 2 5 10⋅ =

Exact: 238

21. Estimate: 5 1 5÷ =

Exact: 1144

22. Estimate: 1

29 2 4÷ =

Exact: 343

23. Estimate: 4 9 36⋅ = Exact: 1

231 ounces

24. Divide the numerator by the denominator. The

quotient is the whole number part of the mixed number, and the remainder is the numerator of the fraction part. The denominator is

unchanged. For example, 1

5 8 R3 , so 8 35 51= .

25. A proper fraction has a value that is less than 1.

An improper fraction has a value that is greater than or equal to 1. For example, 2

3 and 15 are

proper fractions, but 73 and 9

9 are improper

fractions.


Answers to Chapter Test Forms BASIC COLLEGE MATHEMATICS

A-11

Chapter 2, Form B 1. 3

8

2. 13

16

3. 9 5 6

8 5 5, ,

4. 38

5

5. 3

813

6. 1, 2, 4, 8, 16 7. 72 8. 22 3 5⋅ ⋅ 9. 3 22 5⋅ 10. 9

32

11. 3

7

12. 5

8

13. 1

271

14. 24 15. 1

9

16. 3

8 square meter

17. 960 male students 18. 20 pieces 19. Estimate: 4 4 16⋅ =

Exact: 1815

20. Estimate: 7 2 14⋅ =

Exact: 111211

21. Estimate: 6 2 3÷ =

Exact: 27442

22. Estimate: 1

45 4 1÷ =

Exact: 13571

23. Estimate: 10 2 5÷ =

Exact: 575 hours

24. A prime number has exactly two divisors, 1 and

itself. For example, 7 and 11 are prime numbers.

25. Multiply the numerators, then multiply the

denominators. For example, 3 7 3 7 214 8 4 8 32

⋅⋅⋅ = = .



A-12

Chapter 2, Form C 1. 7

8

2. 3

10

3. 7 13 1

11 19 12, ,

4. 53

6

5. 5

619

6. 1, 2, 4, 8, 16, 32 7. 2 3 7⋅ ⋅ 8. 2 32 3⋅ 9. 22 5 23⋅ ⋅ 10. 3

4

11. 2

3

12. 1

24

13. 10 14. 1

321

15. 7

10

16. 15

32 square meter

17. 900 freshmen 18. 36 containers 19. Estimate: 5 2 10⋅ =

Exact: 359

20. Estimate: 9 3 27⋅ =

Exact: 53225

21. Estimate: 6 2 3÷ =

Exact: 582

22. Estimate: 6 3 2÷ = Exact: 4

172


231 ounces

24. Divide the numerator by the denominator. The

quotient is the whole number part of the mixed number, and the remainder is the numerator of the fraction part. The denominator is

unchanged. For example, 9

3 29 R2 , so

29 23 39= .

25. A fraction in lowest terms has no common factors in its numerator and denominator. For example, 7

8 and 1013 are in lowest terms.



A-13

Chapter 2, Form D 1. 7

8

2. 5

12

3. 7 512

5 12 2, ,

4. 79

7

5. 7

814

6. 1, 2, 4, 5, 10, 20 7. 32 7⋅ 8. 32 11⋅ 9. 3 22 3 5⋅ ⋅ 10. 2

7

11. 7

8

12. 7

10

13. 4

51

14. 20 15. 3

11

16. 7

15 square meter

17. 275 apartments 18. 24 pieces 19. Estimate: 7 3 21⋅ =

Exact: 2319

20. Estimate: 5 7 35⋅ =

Exact: 2331

21. Estimate: 2

35 3 1÷ =

Exact: 1642


334


217 inches

24. A prime number has exactly two different

factors, only itself and 1. For example, 7 and 17 are prime numbers since each is only divisible by itself and 1.

25. Invert the second fraction which is the divisor

and multiply. For example, 3 7 3 9 274 9 4 7 28÷ = ⋅ = .



A-14

Chapter 2, Form E 1. 7

12

2. 5

7

3. 2 4

9 11,

4. 58

9

5. 7

913

6. 1, 2, 3, 5, 6, 10, 15, 30 7. 22 5⋅ 8. 3 22 3 5⋅ ⋅ 9. 3 32 5⋅ 10. 3

4

11. 2

11

12. 1

6

13. 10 14. 7

15

15. 10

7

16. 8

15 square meter

17. 1500 hardwoods 18. 20 containers 19. Estimate: 3 2 6⋅ =

Exact: 356

20. Estimate: 5 6 30⋅ =

Exact: 7825


181

22. Estimate: 6 2 3÷ =

Exact: 8132


217 inches

24. A proper fraction has a numerator less than the

denominator. For example, 34 and 9

11 are

proper fractions. 25. Divide the numerator and denominator by the

same number until there are no common factors in the numerator and denominator. For example, 12 612 2

18 18 6 3÷÷= = .



A-15

Chapter 2, Form F 1. 11

12

2. 7

10

3. 134

3 13,

4. 73

8

5. 7

912

6. 1, 2, 4, 7, 8, 14, 28, 56 7. 42 3⋅ 8. 2 5 11⋅ ⋅ 9. 22 5 13⋅ ⋅ 10. 4

5

11. 3

4

12. 10 13. 5

12

14. 2

316

15. 1

12

16. 1

2 square meter

17. 480 apartments 18. 28 pieces 19. Estimate: 3 3 9⋅ =

Exact: 128

20. Estimate: 4 5 20⋅ =

Exact: 1419

21. Estimate: 1

61 6÷ =

Exact: 521


522


249 ounces

24. A proper fraction has a numerator that is less

than the denominator. For example, 35 and 1

11

are proper fractions. 25. Find the cross products by multiplying the

numerator of each fraction by the denominator of the other fraction. If the cross products are equal, the fractions are equivalent. For example, 8

12 and 23 are equivalent because

8 3 24⋅ = and 2 12 24⋅ = .



A-16

Chapter 2, Form G Chapter 2, Form H 1. B

2. D

3. C 4. A 5. C

6. B

7. C 8. D 9. B 10. A 11. D 12. B

13. A

14. B

15. D 16. B 17. A 18. C 19. C

20. D 21. A 22. C 23. B 24. D 25. B

1. C

2. A 3. D 4. C 5. A 6. D 7. C 8. C 9. A 10. D 11. C 12. D 13. C 14. D 15. A 16. B 17. D 18. C 19. A 20. D 21. A 22. B 23. A 24. C 25. A


CHAPTER 2, FORM A BASIC COLLEGE MATHEMATICSaplustestbank.eu/sample/Test-Bank-for-Basic-College-Mathematics-… · BASIC COLLEGE MATHEMATICS Chapter 2, Form A T-24 13. 515 916 y 13.

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