Ratios, Rates, and Percents

Basics of Ratios and Rates

100

Write ALL THREE notations for the ratio that represents the number of legs to noses on a tiger. 

4 to 1 

4:1

4/1 

200

What ratio is represented in the tape diagram on the board?

3:8

300

Simplify this ratio: 14:35

2:5

400

Find the missing value for x in the ratio table below:

4  |  20 |  44     

5  |   x  |  55

x=25

500

Describe what makes a rate different than other ratios.

Rates compare two quantities that have different units. They're compared using the word PER. 

Fractions, Decimals, and Percents

100

Convert 3/5 to a decimal. 

0.6

200

Convert 2.06 to a percent. 

206%

300

Convert 7/8 to a percent. Do not round. 

87.5%

400

To make a percent a decimal, you must...

move the decimal LEFT two times.

AKA, divide by 100. 

500

Convert 145% to a simplified fraction. 

1 9/20 

Ratio Applications

100

The ratio of black squares to green circles on a bulletin board is 4:7. If there are 28 green circles on the board, how many black squares are there? 

16 black squares

200

A florist puts 3 lilies for every 4 roses in her bouquets. If she makes a bouquet with 12 lilies, how many roses will be in the bouquet? 

16 roses

300

For every 14 children's tickets the Band Boosters sell, they also sell 3 adult tickets. If they sell a total of 119 tickets, how many adult tickets did they sell?  

21 adult tickets

400

For every 3 cows on the Bert's Farm, there are 8 chickens. If Bert's farm has 24 cows, how many TOTAL cows and chickens do they have? 

88 cows and chickens

500

For every 5 blue cars a dealership sells, it also sells 8 silver cars. If the dealership sold a total of 585 blue and silver cars last quarter, how many MORE silver cars than blue cars did they sell? 

135 more silver cars

Rates Application

100

A car travels at a rate of 55 miles per hour for 3 hours. How far will the car travel in this time? 

165 miles

200

In 4 minutes, a student read 500 words. What is this as a unit rate of words per minute? 

125 words per minute

300

A helicopter travels at a constant speed of 112 miles per hour. How long would it take the helicopter to travel 400 miles? Round your answer to the nearest hundredth place. 

3.57 hours

400

Billy's dad bought 212 rolls of toilet paper for $178.08. What is the unit price of the toilet paper? 

$0.84 per roll

500

Jessica can make 3/8 of a bracelet in an hour. How many bracelets will she be able to make in 4 hours? 

1.5 bracelets

Percents/ Proportions Application

100

What percent of 76 is 19? 

25%

200

3 is 12% of what number? 

25

300

Jane wants to leave an 18% tip for a meal that cost $20. What amount should this tip be? 

$3.60

400

For the seventh grade class election, 28 people voted for Malaki to be president. 7 students voted for their other classmates. What percent of the votes did Malaki receive?

80%

500

Bananas are marked down 15% this week at Aldi. If a bunch of bananas typically costs $6, what is the sale price of bananas this week?

$5.10