Rates

Conversions

Proportions

Similar Figures and

Scale

Probability and Odds

Ratio

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RatioRates Conversions ProportionsSimilar

Figures and Scale

Probability and Odds

How do you change a rate

into a unit rate?

What is you make the denominator equal 1 by dividing the numerator and denominator by the

denominator?

I traveled 291 miles with 6 gallons of gas (in my Prius). Change that to a unit rate (round to the

nearest tenth if necessary).

What is 48.5miles/gallon?

I paid $5.99 for 64oz of ice-cream. Find

the cost (to the nearest penny) per

ounce.

What is

$0.09/oz?

Change each to a unit rate to determine

which is the better deal:

A: $2.05 for 16lb B $3.92 for 28lb

What is choice A ($0.13/lb)?

Jerry threw 84 strikeouts in 10 games. Tom had 60 in 8 games. Who has the better strikeouts per game average and by

how much?

Who is Jerry by 0.9 strikeouts

per game?

Change 0.254 to a percent.

What is

25.4%?

Convert 5/25 to a decimal and

percent

What is 0.2 and 20%?

Convert 0.6% to a decimal and

fraction (in lowest terms)

What is 0.006 and

3/500?

Convert to a decimal and

percent

538

What is

5.375 and 537.5%?

Convert 1.852 to a fraction and percent

What is

and 185.2%?

1213250

Do the ratios below form proportion? How

can you tell?

8=

212 4

What is no, because 8x4 does not equal

12x2?

Do the ratios below form proportion?

Prove it.3.8

=15.2

3.1 12.4

What is yes 3.8x12.4 =

3.1x15.2 (47.12)?

Find n. Round to the nearest tenth.

n=

99 8

What is

h = 10.1?

Find p. Round to the nearest tenth.

16=

p20 9

What is

p = 7.2?

12 bags of potatoes cost $30. How many bags can you buy for

$510?

What is

204 bags?

What are the characteristics of

similar figures and what does the sign for similar figures look

like?

Similar figures (1) have the same shape (equal angles) and (2) their sides are in

proportion. The sign indicating similarity looks

like ~.

Two cities are 350 miles apart. A map

uses a scale of 2.5cm:20miles. How far apart are the cities

on the map?

What is

43.75cm?

A model of a T-Rex uses a scale of 4.5in:7ft. The arms of the model are 1.9in long. How long were the T-Rex’s arms in real life (round to

the nearest foot)?

What is

3ft?

Find y in these similar figures. y

5in90in24in

What is

y = 18.75in?

Find g and h in these similar figures.

3m

gh

10.5m

14m

7m

What is

h = 4m and g = 2m?

Explain the difference between probability and

odds.

Probability is the amount of successful outcomes over total possible outcomes. Odds are the amount of

successful outcomes over unsuccessful outcomes.

Find the probability of rolling a number less

than 3 on an eight sided die numbered 1-8.

What is 1/4?

Find the odds in favor of choosing a green M&M out of a bag

containing 6 orange, 3 yellow, 5 green and 2

blue M&Ms.

What is 5:11?

Use all 26 letters of the alphabet to answer the following:

a.P(a vowel or a consonant)

b. P(П)

c. P(a letter in the word ‘street’)

What isa. P(a vowel or a consonant) =

certain, 1

b. P(П) = impossible, 0

c. P(a letter in the word ‘street’) =

2/13

You create a game where two players roll a number cube.

Player A gets 2 points if it lands on 1 or 2. Player B gets 2 points

if it lands on 3 or 4 and both players get 0 points if it lands on

5 or 6. Is this a fair game?

What is yes because both players have the same probability of scoring 2 points 1/3

and scoring no points 1/3?

 

What is the difference

between a ratio and a rate?

A ratio compares two numbers and a

rate is a type of ratio that compares two

quantities using different units.

Describe the ratios formed by the figure below in 4

different ways?

What is 3 shaded : 8 total 8 total : 3 shaded

5 unshaded : 8 total 8 total : 5 unshaded

5 unshaded : 3 shaded 3shaded : 5 unshaded

What are three ways of writing a ratio? (You can use any numbers to make

your ratios)

What is

2 : 5

2 to 5 and2

?5

Write as a ratio in simplest form:

70 homes out of 125 have a computer with

internet access.

What is

14 to 25?

A recent poll PA residents found the following results:

Candidate # in favor

Clinton 104

Obama 72

Undecided 24

Write the following ratios in simplest form:

a. number in favor of Clinton to Obama

b. number of undecided to total

What is

a. 13 to 9

b. 3 to 25