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Jeopardy Ratios/ Rates and Using Proportion s Scale & Interest Percent Proportion s & Equations Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $100 Q $100 Q $100 Q $200 Q $200 Q $200 Q $200 Q $300 Q $300 Q $300 Q $300 Q $400 Q $400 Q $400 Q $400 Q $500 Q $500 Q $500 Q $500 Final Jeopardy Percent of Change & Probabi lity Fraction s Decimals Percents
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Jeopardy Ratios/Rates and Using Proportions Scale & Interest Percent Proportions & Equations Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q.

Mar 27, 2015

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Page 1: Jeopardy Ratios/Rates and Using Proportions Scale & Interest Percent Proportions & Equations Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q.

JeopardyRatios/Rates and Using Proportions

Scale & Interest

Percent Proportions & Equations

Q $100

Q $200

Q $300

Q $400

Q $500

Q $100 Q $100Q $100 Q $100

Q $200 Q $200 Q $200 Q $200

Q $300 Q $300 Q $300 Q $300

Q $400 Q $400 Q $400 Q $400

Q $500 Q $500 Q $500 Q $500

Final Jeopardy

Percent of Change & Probability

Fractions Decimals Percents

Page 2: Jeopardy Ratios/Rates and Using Proportions Scale & Interest Percent Proportions & Equations Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q.

$100 Question from H18 students out of 25 students as a ratio

8 students = 825 students 25

Page 3: Jeopardy Ratios/Rates and Using Proportions Scale & Interest Percent Proportions & Equations Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q.

$100 Answer from H1

8 students out of 25 students as a ratio

8 students = 825 students 25

Page 4: Jeopardy Ratios/Rates and Using Proportions Scale & Interest Percent Proportions & Equations Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q.

$200 Question from H1

10 inches to 4 feet –as a ratio simplified

Page 5: Jeopardy Ratios/Rates and Using Proportions Scale & Interest Percent Proportions & Equations Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q.

$200 Answer from H1

10 inches to 4 feet –as a ratio simplified

10 inches = 10 inches = 10 = 5 4 feet 48 inches 48 24

Page 6: Jeopardy Ratios/Rates and Using Proportions Scale & Interest Percent Proportions & Equations Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q.

$300 Question from H1

Solve the proportion:

n = 4 12 3

Page 7: Jeopardy Ratios/Rates and Using Proportions Scale & Interest Percent Proportions & Equations Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q.

$300 Answer from H1

Solve the proportion:

n = 4 3n = 4(12) n = 48 n = 1612 3 3 3 3

Page 8: Jeopardy Ratios/Rates and Using Proportions Scale & Interest Percent Proportions & Equations Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q.

$400 Question from H1

Solve the proportion:

5 = 0.3 7.5 m

Page 9: Jeopardy Ratios/Rates and Using Proportions Scale & Interest Percent Proportions & Equations Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q.

$400 Answer from H1Solve the proportion:

5 = 0.3 5m = 7.5(0.3) m = 2.25 m = .457.5 m 5 5 5

Page 10: Jeopardy Ratios/Rates and Using Proportions Scale & Interest Percent Proportions & Equations Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q.

$500 Question from H1

What is the best buy? 8 pencils for $1.19 = 12 pencils for $1.79 =20 pencils for $2.79 = 24 pencils for $3.59 =

Page 11: Jeopardy Ratios/Rates and Using Proportions Scale & Interest Percent Proportions & Equations Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q.

$500 Answer from H1What is the best buy? 8 pencils for $1.19 = .14875 ~ $0.15 12 pencils for $1.79 = .1491666 ~ $0.1520 pencils for $2.79 = .1395 ~ $0.14 24 pencils for $3.59 = .1495833 ~ $0.15

Page 12: Jeopardy Ratios/Rates and Using Proportions Scale & Interest Percent Proportions & Equations Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q.

$100 Question from H2

A _____ gives the relationship between the measurements on the drawing or model and the measurements of the real object.

Page 13: Jeopardy Ratios/Rates and Using Proportions Scale & Interest Percent Proportions & Equations Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q.

$100 Answer from H2

A scale gives the relationship between the measurements on the drawing or model and the measurements of the real object.

Page 14: Jeopardy Ratios/Rates and Using Proportions Scale & Interest Percent Proportions & Equations Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q.

$200 Question from H2What is the scale factor if the scale is 15 inches = 1yard?

Page 15: Jeopardy Ratios/Rates and Using Proportions Scale & Interest Percent Proportions & Equations Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q.

$200 Answer from H2

What is the scale factor if the scale is 15 inches = 1yard?

1 yard = 36 inches15 = 5 36 12

Page 16: Jeopardy Ratios/Rates and Using Proportions Scale & Interest Percent Proportions & Equations Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q.

$300 Question from H2

Given a scale of 0.25 inch = 5 feet.Find the actual length of a room ifits drawing is 1.6 inches. Hint: Map .25 in = 1.6 in Actual 5 ft. = x ft

Page 17: Jeopardy Ratios/Rates and Using Proportions Scale & Interest Percent Proportions & Equations Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q.

$300 Answer from H2

Given a scale of 0.25 inch = 5 feet.Find the actual length of a room ifits drawing is 1.6 inches.

Map .25 in = 1.6 in .25x = 5(1.6) Actual 5 ft. = x ft

x = 8/.25 x = 32 ft

Page 18: Jeopardy Ratios/Rates and Using Proportions Scale & Interest Percent Proportions & Equations Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q.

$400 Question from H2

What is the interest earned on $4,260if it is invested at 5.5% for 5 ½ years.

Page 19: Jeopardy Ratios/Rates and Using Proportions Scale & Interest Percent Proportions & Equations Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q.

$400 Answer from H2

What is the interest earned on $4,260if it is invested at 5.5% for 5 ½ years.

$4,260 x .055 x 5.5 = $1,288.65

Page 20: Jeopardy Ratios/Rates and Using Proportions Scale & Interest Percent Proportions & Equations Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q.

$500 Question from H2What is the interest earned on $1,580if it is invested at 4.5% per year for6 months.

Page 21: Jeopardy Ratios/Rates and Using Proportions Scale & Interest Percent Proportions & Equations Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q.

$500 Answer from H2

What is the interest earned on $1,580if it is invested at 4.5% per year for6 months.

6 months is .5 of a year so:$1,580 x .045 x .5 = $35.55

Page 22: Jeopardy Ratios/Rates and Using Proportions Scale & Interest Percent Proportions & Equations Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q.

$100 Question from H3

Express 9 as a decimal.40

Page 23: Jeopardy Ratios/Rates and Using Proportions Scale & Interest Percent Proportions & Equations Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q.

$100 Answer from H3

Express 9 as a decimal.40

9 = .225 40

Page 24: Jeopardy Ratios/Rates and Using Proportions Scale & Interest Percent Proportions & Equations Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q.

$200 Question from H3

Fraction Decimal Percent

.17

Page 25: Jeopardy Ratios/Rates and Using Proportions Scale & Interest Percent Proportions & Equations Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q.

$200 Answer from H3

Fraction Decimal Percent

17

100.17 17%

Page 26: Jeopardy Ratios/Rates and Using Proportions Scale & Interest Percent Proportions & Equations Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q.

$300 Question from H3

Fraction Decimal Percent

316%

Page 27: Jeopardy Ratios/Rates and Using Proportions Scale & Interest Percent Proportions & Equations Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q.

$300 Answer from H3

Fraction Decimal Percent

3 16 = 3 4

100 25

3.16 316%

Page 28: Jeopardy Ratios/Rates and Using Proportions Scale & Interest Percent Proportions & Equations Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q.

$400 Question from H3

Fraction Decimal Percent

3

8

3.282

Page 29: Jeopardy Ratios/Rates and Using Proportions Scale & Interest Percent Proportions & Equations Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q.

$400 Answer from H3

Fraction Decimal Percent

3

8.375 37.5%

3 282 = 3 141

1000 1000

3.282 328.2%

Page 30: Jeopardy Ratios/Rates and Using Proportions Scale & Interest Percent Proportions & Equations Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q.

$500 Question from H3

What is the largest and smallest of this set: { 3/5, 0.62, 61.5%, 5 out of 9}

Page 31: Jeopardy Ratios/Rates and Using Proportions Scale & Interest Percent Proportions & Equations Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q.

$500 Answer from H3What is the largest and smallest of this set: { 3/5, 0.62, 61.5%, 5 out of 9}

3/5 = .60.62 = .62 Largest61.5 = .6155 out of 9 = .555555… Smallest

Page 32: Jeopardy Ratios/Rates and Using Proportions Scale & Interest Percent Proportions & Equations Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q.

$100 Question from H4

What is 20% of 50?

Hint use formula:is = % of 100

Page 33: Jeopardy Ratios/Rates and Using Proportions Scale & Interest Percent Proportions & Equations Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q.

$100 Answer from H4What is 20% of 50?

Hint use formula:is = % x = 20 100x =50(20) of 100 50 100

x = 1000/100 x = 10

Page 34: Jeopardy Ratios/Rates and Using Proportions Scale & Interest Percent Proportions & Equations Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q.

$200 Question from H4

18 is what percent of 125?

18 = x125 100

Page 35: Jeopardy Ratios/Rates and Using Proportions Scale & Interest Percent Proportions & Equations Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q.

$200 Answer from H4

18 is what percent of 125?

18 = x 125x = 18(100) x = 1800125 100 125

x = 14.4%

Page 36: Jeopardy Ratios/Rates and Using Proportions Scale & Interest Percent Proportions & Equations Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q.

$300 Question from H4

20.25 is 112.5% of what number?

Page 37: Jeopardy Ratios/Rates and Using Proportions Scale & Interest Percent Proportions & Equations Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q.

$300 Answer from H4

20.25 is 112.5% of what number?

20.25 = 112.5 112.5x = 20.25(100)x 100

x = 2025/112.5

x = 18

Page 38: Jeopardy Ratios/Rates and Using Proportions Scale & Interest Percent Proportions & Equations Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q.

$400 Question from H4

A Laptop is on sale at a 30% discount. If it normally sells for $800 what is the sale price?

Page 39: Jeopardy Ratios/Rates and Using Proportions Scale & Interest Percent Proportions & Equations Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q.

$400 Answer from H4

A Laptop is on sale at a 30% discount. If it normally sells for $800 what is the sale price?

100%-30% = 70%$800 x .70=$560

Page 40: Jeopardy Ratios/Rates and Using Proportions Scale & Interest Percent Proportions & Equations Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q.

$500 Question from H4

A camera is on sale at a 25% discount. If it normally sells for $179.99, what is the sale price?

Page 41: Jeopardy Ratios/Rates and Using Proportions Scale & Interest Percent Proportions & Equations Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q.

$500 Answer from H4

A camera is on sale at a 25% discount. If it normally sells for $179.99, what is the sale price?

100%-25% =75%$179.99 x .75 = $134.9925 ~ $134.99

Page 42: Jeopardy Ratios/Rates and Using Proportions Scale & Interest Percent Proportions & Equations Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q.

$100 Question from H5Start with End with % of Change

25 110

Hint: End-Start = Change = % of Chang Start Start

Page 43: Jeopardy Ratios/Rates and Using Proportions Scale & Interest Percent Proportions & Equations Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q.

$100 Answer from H5

Start with End with % of Change

25 110 340%

Hint: End-Start = Change = % of Chang Start Start

110-25 = 85 = 3.4 = 340% 25 25

Page 44: Jeopardy Ratios/Rates and Using Proportions Scale & Interest Percent Proportions & Equations Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q.

$200 Question from H5

What is the % of change?From 32 cm to 59 cm(Round to nearest tenth)

Page 45: Jeopardy Ratios/Rates and Using Proportions Scale & Interest Percent Proportions & Equations Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q.

$200 Answer from H5What is the % of change?From 32 cm to 59 cm(Round to nearest tenth)

59-32 = 27 = .84375 ~ 84.4% 32 32

Page 46: Jeopardy Ratios/Rates and Using Proportions Scale & Interest Percent Proportions & Equations Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q.

$300 Question from H5

What is the % of change?From $88 to $124 (Round to nearest tenth)

Page 47: Jeopardy Ratios/Rates and Using Proportions Scale & Interest Percent Proportions & Equations Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q.

$300 Answer from H5What is the % of change?From $88 to $124 (Round to nearest tenth)

124-88 = 36 = .40909… ~ 40.9% 88 88

Page 48: Jeopardy Ratios/Rates and Using Proportions Scale & Interest Percent Proportions & Equations Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q.

$400 Question from H5A bag contains 6 blue marbles 8 red marbles 4 green marbles 1 white marble. One is selected at random. Find the probability of picking a red or white marble. (Round fraction to nearest tenth)

Page 49: Jeopardy Ratios/Rates and Using Proportions Scale & Interest Percent Proportions & Equations Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q.

$400 Answer from H5A bag contains 6 blue marbles 8 red marbles 4 green marbles 1 white marble. One is selected at random. Find the probability of picking a red or white marble. (Round fraction to nearest tenth)8+1 =9 9/19 ~.47.4%

Page 50: Jeopardy Ratios/Rates and Using Proportions Scale & Interest Percent Proportions & Equations Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q.

$500 Question from H5

A bag contains 7 orange marbles, 10 purple marbles, 4 green marbles, 1 white marble. One is selected at random. Find the probability of picking an orange, green or white marble. (Round fraction to nearest tenth)

Page 51: Jeopardy Ratios/Rates and Using Proportions Scale & Interest Percent Proportions & Equations Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q.

$500 Answer from H5

A bag contains 7 orange marbles, 10 purple marbles, 4 green marbles, 1 white marble. One is selected at random. Find the probability of picking an orange, green or white marble. (Round fraction to nearest tenth) __7 + 4 + 1 = 12 = 6 = .54 = 54.5% 22 11

Page 52: Jeopardy Ratios/Rates and Using Proportions Scale & Interest Percent Proportions & Equations Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q.

Final JeopardyOn 21 cards you have spelled out: “Only Seventeen Weeks Left”, with one letter on each card. If one card is chosen at random, determine the probability of each outcome. Write as a fraction and as a percent the probability of picking a “t”.(Round to the nearest tenth if necessary.)

Page 53: Jeopardy Ratios/Rates and Using Proportions Scale & Interest Percent Proportions & Equations Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q.

Final Jeopardy Answer On 22 cards you have spelled out: “Only Seventeen

Weeks Left”, with one letter on each card. If one card is chosen at random, determine the probability of each outcome. Write as a fraction and as a percent the probability of picking a “t”.

(Round to the nearest tenth if necessary.) __

There are two “t” = 2/22 = 1/11 = .09 = 9.1%