Chapter 8 â Ratios, Proportions, and Percents. Answer Key. Middle School Math Concepts - Grade 6. 3. 8.5 Comparison of Unit Rates. Answers. 1. 7/1. ...

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Chapter 8 – Ratios, Proportions, and Percents 8.1 Equivalent Ratios Answers 1. 1: 5, 1/5, 1 to 5

2. 1: 2, 1 to 2, ½

3. 2 to 5, 2:5, 2/5

4. 1:5, 1/5, 1 to 5

5. 2 to 5, 2:5, 2/5

6. 1 to 2, 1:2, ½

7. 3:3, 3/3, 3 to 3

8. 2 to 2, 2/2, 2:2

9. 2 to 2, 2/2, 2:2

10. 4: 22, 4/22, 4 to 22

11. 2:2, 2 to 2, 2/2

12. 22: 4, 22/4, 22 to 4

13. 22: 6, 22 to 6, 22/6

14. 2: 22, 2/22, 2 to 22

15. 2 to 22, 2: 22, 2/22

8.2 Ratios in Simplest Form Answers 1. ½

2. ½

3. 1/3

4. 1/15

5. 2/3

6. 2/3

7. 1/3

8. ¾

9. ¼

10. ¼

11. 5/6

12. 1/3

13. ½

14. 1/3

15. 9/10

16. 4/5

17. 9/40

8.3 Comparison of Ratios in Decimal Form Answers 1. .75

2. .5

3. .20

4. .25

5. .5

6. .8

7. .3

8. .25

9. .83

10. .5

12. .2

13. .75

14. .33

15. .75

11. .4

8.4 Identification and Writing of Equivalent Rates Answers There are several possible answers – here is one possible choice 1. 28 apples to 4 barrels

2. 16 crayons in 1 box

3. 6 bottles in 1 carrier

4. 40 students on 8 teams

5. 50 students on 10 teams

6. 25 students in 1 class

7. 30 students on 1 bus

8. 1 student ate 2 cupcakes

9. 24 campers in 4 tents

10. 48 hikers on 2 trails

11. 12 campers in 2 tents

12. 3 tents

Middle School Math Concepts - Grade 6

1

Answer Key

Chapter 8 – Ratios, Proportions, and Percents 13. 5 tents

14. 72 campers

15. 12 students on 1 team

Middle School Math Concepts - Grade 6

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Answer Key

Chapter 8 – Ratios, Proportions, and Percents 8.5 Comparison of Unit Rates Answers 1. 7/1

2. 16/1

3. 6/1

4. 5/1

5. 5/1

6. 25/1

7. 30/1

8. ½

9. 6/1

10. 24/1

11. 4/1

12. 12/1

13. 3/1

14. 4/1

15. $12/1

8.6 Proportions Using Cross Products Answers 1. yes

2. Yes

3. No

4. Yes

5. No

6. Yes

7. no

8. Yes

9. Yes

10. Yes

11. Yes

12. No

13. yes

14. No

15. No

8.7 Mental Math to Solve Proportions Answers 1. 4

2. 10

3. 12

4. 4

5. 8

6. 10

7. 7

8. 9

9. 5

10. 6

13. 4

14. 16

11. 10

12. 20

15. 42

8.8 Proportions to Find Dimensions Answers 1. 25 feet

2. 35 feet

3. 75 feet

4. 40 feet

5. 27 feet

6. 21 feet

7. 9 feet

8. 250 miles

9. 150 miles

11. 6’ x 9’ = 54 sq. ft.

12. 10 x 10 = 100 sq. ft

14. 30 x 30 = 900 sq. ft

15. 24 x 24 = 576 sq. ft

10. 250 kilometers

13. 20 x 20 = 400 sq. ft.

Middle School Math Concepts - Grade 6

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Answer Key

Chapter 8 – Ratios, Proportions, and Percents 8.9 Proportions to Find Scale Ratios Answers 1. 1”/2’

2. 1”/2’

3.1”/3’

4. 1”/3’

5. 1”/4’

6. 1”/6’

7. 1”/10’

8. 1”/20 miles

9. 1”/25 miles

10. 1”/200 km

11. 1”/200 km

12. 1”/3000 m

13. 1”/1000 km

14. 1”/200 km

15. 1”/3000 m

8.10

Conversion of Decimals, Fractions and Percent

Answers 1. 23/100

2. .23

3. 18/100

4. 18%

5. .34

6. 34%

7. 57 out of 100

8. 57/100

9. 98/100

10. 98%

11. 77/100

12. .77

13. 77%

14. 12%

15. 15%

8.11

Percents as Decimals

Answers 1. .54

2. .11

3. .06

4. .12

5. .89

6. .83

7. .19

8. .04

9. .09

10. .32

11. .65

12. .88

13. .78

14. .675

15. .182

8.12

Percents as Fractions

Answers 1. 54/100

2. 11/100

3. 6/100

4. 12/100

5. 89/100

6. 83/100

7. 19/100

8. 4/100

9. 9/100

10. 18/100

11. 89/100

12. 100/100

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Middle School Math Concepts - Grade 6

Answer Key

Chapter 8 – Ratios, Proportions, and Percents 13. 23/100

14. 77/100

15. 98/100

Middle School Math Concepts - Grade 6

16. 2/100

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Answer Key

Chapter 8 – Ratios, Proportions, and Percents 8.13

Interpretation of Circle Graphs

Answers 1. German

2. 70%

3. 10%

4. 90%

5. 0%

6. 70%

7. 15%

8. 95%

9. 15%

10. 25%

11. 65%

12. 65%

13. False

14. 35%

15. 25%

8.14

Fractions as Percents

Answers 1. 4%

2. 24%

3. 20%

4. 76%

5. 61%

6. 25%

7. 75%

8. 50%

9. 40%

10. 80%

11. 80%

12. 60%

13. 12%

14. 12%

15. 40%

8.15

Decimals as Percents

Answers 1. 31%

2. 56%

3. 43%

4. 8%

5. 1%

6. 40%

7. 60%

8. 65%

9. 33%

10. 19%

11. 30%

12. 90%

13. 11%

14. 18%

15. 34%

16. 99%

17. 21%

18. 88%

8.16

Comparison of Fractions, Decimals and Percents

Answers 1. 16/100, 1/5, .27, 53%

2. .30, 68%, 9/10, 99/100

3. 18/100, 10/20, 87%, .99

4. .18, 1/5, 23%, 88/100

5. 6%, ½, 93/100, .98

6. .37, 2/5, 77/100, 93%

7. 12/100, 13%, 1/3, .76

8. 9/100, .2, 67%, 4/5

9. 2/10, .29, 35%, 88/100

10. >

11. =

12. <

13. >

14. =

15. >

Middle School Math Concepts - Grade 6

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Answer Key

Chapter 8 – Ratios, Proportions, and Percents 8.17

Percent of a Number

Answers 1. .2

2. 2.5

3. 3

6. 4.4

7. 6.4

11. 2.4

12. 4.25

8.18

4. 4.5

5. 7.2

8. 6.75

9. 20

10. 62.5

13. .36

14. 13.95

15. 14.35

Prices Involving Discounts

Answers 1. $16.96

2. $10.00

3. $31.95

4. $35.00

5. $80.00

6. $52.50

7. $23.96

8. $16.20

9. $42.75

10. $52.50

11. $100.00

12. $202.95

13. $342.00

14. $371.00

15. $660.00

8.19

Prices Involving Sales Tax

Answers 1. $59.02

2. $44.98

3. $67.60

4. $26.52

5. $19.50

6. $61.36

7. $22.36

8. $46.28

9. $130.52

10. $447.20

11. $926.12

12. 1038.28

13. $2451.02

14. $3125.72

15. $5905.38

8.20

Tip Estimation

Answers 1. $1.50

2. $2.70

3. $3.75

4. $4.50

5. $2.25

6. $7.00

7. $13.50

8. $18.00

9. $20.00

10. $16.50 – 17.00

11. $20.00

12. $21.00

13. $15.00

14. $13.50

15. $15.00

Middle School Math Concepts - Grade 6

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Answer Key

Chapter 8 – Ratios, Proportions, and Percents 8.21

Simple Interest

Answers 1. $40

2. $30

3. $200

4. $60

5. $96

6. $45

7. $92

8. $40

9. $625

10. $330

11. $525

12. $2100

13. $3510

14. $8050

15. $25,000

8.22

Problem Solving Plan, Proportions

Answers 1. 15 feet

2. 6 miles

3. 20 miles

4. 2”

6. 8 feet

7. 6 feet

8. 9 feet

9. 4 feet

10. 3”

11. 2”

12. 2.5”

13. 4”

14. 2”

15. 12”

16. 3”

17. 24 minutes

18. 48 minutes

Middle School Math Concepts - Grade 6

5. 6”

19. 1 mile in 10 minutes

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