chapter 6 review1 ratios, proportions, and percents team challenge
TRANSCRIPT
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?