chapter 6 review1 ratios, proportions, and percents team challenge

Chapter 6 Review 1

Ratios, Proportions, and Percents

Team Challenge

Chapter 6 Review 2

Ratios, Proportions, and Percents

Rules of the game– No calling out answers– You may discuss the

problem with the other members on your team

– Raise your hand when you have the answer

– I will call on the 1st person to raise their hand

– My decisions are final

Chapter 6 Review 3

Ratios, Proportions, and Percents

Scoring– Correct response

+1 point– Incorrect response

-1 point– Calling out answers

-2 points– Challenge puzzles

you may risk up to 5 points

Chapter 6 Review 4

Ratios, Proportions, and Percents

Let’s

Get

Started!

Chapter 6 Review 5

Ratios, Proportions, and Percents

This is a comparison of two quantities by division.

Ratio

Chapter 6 Review 6

Ratios, Proportions, and Percents

Write the following ratio as a fraction in simplest form.

5 : 30

1/6

Chapter 6 Review 7

Ratios, Proportions, and Percents

Write the following ratio as a fraction in simplest form.

98 homes in 100 have a TV.

49/50

Chapter 6 Review 8

Ratios, Proportions, and Percents

A ratio that compares quantities in different units is a

Rate

Chapter 6 Review 9

Ratios, Proportions, and Percents

A rate that has a denominator of 1 is a

Unit rate

Chapter 6 Review 10

Ratios, Proportions, and Percents

You may risk up to five points.If you complete the puzzle you

earn what you have risked.If you do not complete the

puzzle you lose what you have risked.

Captains record your wager now.

Challenge

Puzzle

Chapter 6 Review 11

Ratios, Proportions, and Percents

Write the following ratio as a unit rate.

150 miles in 3 hours

50 mph

Chapter 6 Review 12

Ratios, Proportions, and Percents

Find the unit rate.

A six pack of soda costs $2.70.

$.45 per soda

Chapter 6 Review 13

Ratios, Proportions, and Percents

A skydiver falls 144 feet in 3 seconds. How many feet does he fall in 1 second?

48 feet per second

Chapter 6 Review 14

Ratios, Proportions, and Percents

Convert 10 mph to feet per minute.

10mi 5280 1hr

1hr 1mile 60min* *

880 ft

minute

Chapter 6 Review 15

Ratios, Proportions, and Percents

An equality of two ratios is a

proportion

Chapter 6 Review 16

Ratios, Proportions, and Percents

Solve for n

5 n

6 42=

n = 35

Chapter 6 Review 17

Ratios, Proportions, and Percents

Challenge

Puzzle

Decide and record your risk amount.

Chapter 6 Review 18

Ratios, Proportions, and Percents

Do the following ratios form a proportion?

4 20

7 35and

yes

Chapter 6 Review 19

Ratios, Proportions, and Percents

Write a proportion and solve.

Three cans of soup cost $3.27.Find the cost of 12 cans.

3 3.27

12 x

x = $13.08

=

Chapter 6 Review 20

Ratios, Proportions, and Percents

Your team scores 4 runs in the first three innings of a 9-inning baseball game. If it continues at that rate, how many runs will it score in the game?

12 runs

Chapter 6 Review 21

Ratios, Proportions, and Percents

The triangles are similar. Solve for a.

3

9

1a

a = 3

Chapter 6 Review 22

Ratios, Proportions, and Percents

A map of the United States has a scale of 1 inch : 250 miles. The cities of Jackson, Mississippi and Carson City, Nevada are 7 inches apart. How many miles is it from Jackson to Carson City?

1750 miles

Chapter 6 Review 23

Ratios, Proportions, and Percents

A model airplane is 1/48 of the airplane’s actual size. The length of the model airplanes wing is ¾ foot. How long is the airplane’s wing?

36 feet

Chapter 6 Review 24

Ratios, Proportions, and Percents

Challenge

Puzzle

Record your wager.

Chapter 6 Review 25

Ratios, Proportions, and Percents

What is the probability of rolling an even number when rolling two dice?

1/2

Chapter 6 Review 26

Ratios, Proportions, and Percents

Suppose you select a letter at random from the word Arithmetic. What is the probability of selecting a t?

1/5

Arit h

metic

Chapter 6 Review 27

Ratios, Proportions, and Percents

A bag contains 5 grape lollipops, 6 orange lollipops, 4 root beer lollipops and 5 cherry lollipops. What are the odds in favor of choosing a grape lollipop?

5 to 15

Chapter 6 Review 28

Ratios, Proportions, and Percents

What is the probability of drawing a red ace from a standard deck of playing cards?

1/26

Chapter 6 Review 29

Ratios, Proportions, and Percents

What is the complement of an event.

All the outcomes not in the event.

Chapter 6 Review 30

Ratios, Proportions, and Percents

If P(green) = 4/27, what is the probability of not green?

23/27

Chapter 6 Review 31

Ratios, Proportions, and Percents

Challenge

Puzzle

How much will you risk?

Chapter 6 Review 32

Ratios, Proportions, and Percents

A ratio that compares a number to 100 is a

Percent

Chapter 6 Review 33

Ratios, Proportions, and Percents

Convert 1/5 to a percent.

20%

Chapter 6 Review 34

Ratios, Proportions, and Percents

Write 220% as a fraction or mixed number in simplest form.

2 1/5

Chapter 6 Review 35

Ratios, Proportions, and Percents

Write 4.4% as a decimal.

.044

Chapter 6 Review 36

Ratios, Proportions, and Percents

20% of x is 30. What is x?

150

Chapter 6 Review 37

Ratios, Proportions, and Percents

Challenge Puzzle

Record your bet.

Chapter 6 Review 38

Ratios, Proportions, and Percents

Write a proportion and solve. – A bicycle cost $250 last

year. The same bike costs $200 this year. What percent of last year’s cost is this year’s cost?

x 200

100 250

x = 80%

=

Chapter 6 Review 39

Ratios, Proportions, and Percents

Write an equation and solve.

What is 85% of 62?

n = .85 * 62

n = 52.7

Chapter 6 Review 40

Ratios, Proportions, and Percents

Lydia has read 14 pages of her 22-page reading assignment. To the nearest percent, what percent of the assignment has Lydia read?

64%

Chapter 6 Review 41

Ratios, Proportions, and Percents

Tom pole vaulted 8 foot yesterday. Today he vaulted 20% higher. How many feet did he vault today?

9.6 feet

Chapter 6 Review 42

Ratios, Proportions, and Percents

The space Surveillance Center in Colorado tracks about 8500 objects in orbit around Earth. All but about 500 objects are junk from past space missions. What percent are junk?

approximately 94 %

Chapter 6 Review 43

Ratios, Proportions, and Percents

Challenge

Puzzle

Will you lose

or gain?

Chapter 6 Review 44

Ratios, Proportions, and Percents

A video game that regularly sells for $40.00 is on sale for 20% off. What is the sale price?

$32.00

Chapter 6 Review 45

Ratios, Proportions, and Percents

Seventy students voted for Jason, 25% voted for Amanda, and the other 40% voted for Melissa. How many students voted in the election?

200

Chapter 6 Review 46

Ratios, Proportions, and Percents

The price of a computer was $1099 last year, this year the same computer costs $999. Find the percent change in price. Round to the nearest tenth of a percent.

9.1%

Chapter 6 Review 47

Ratios, Proportions, and Percents

In the United States in the 20th century, average life expectancy increased from about 47 years to about 77 years. Find the percent of increase to the nearest percent.

64%

Chapter 6 Review 48

Ratios, Proportions, and Percents

A rectangle is 55 inches wide and 34 inches long. Is it a golden rectangle? Why or why not.

Yes,

55/34 1.618

Chapter 6 Review 49

Ratios, Proportions, and Percents

ChallengePuzzle

The final challenge.

What are you willing to risk?