Scale Factor
Ratios
Math Facts
Proportional Relationships
Unit Rates
100

Define scale factor

The number by which a scaled or proportional copy of a figure is multiplied by

100

What is a ratio?

Two quantitative values which describe the proportional relationship between them

100

Multiply:

16 x 9

(Must show all work)

144

100

What is a proportional relationship?

A relationship between two variables which have consistent, equivalent ratios

100

What is a unit rate?

The rate per one unit; a ratio in which the denominator equals 1

200

If the rectangle is multiplied by a scale factor of 3, what is the new length and width?

(Length = __________)

(Width = ___________)


Length = 36ft

Width = 24ft

200

Charlie's ratio of Xbox to Playstation games is 4:3. If he has 21 Playstation games, how many Xbox games does he have?

28 Xbox games

200

Divide:

492 / 12

(Must show all work)

41

200

When looking at a graph, what two factors indicate a proportional relationship?

- Line must pass through origin; start at zero

- Points must change at a constant rate

200

Kevin buys 8 pairs of shoes for a total of 480 dollars. If each pair was the same price, what is the cost per shoe? 

(Must show all work)

30 dollars per shoe

(60 per pair)

300

If the rectangle is multiplied by a scale factor of 1/4, what is the new length and width

(Length = ____________)

(Width = ____________)


Length = 3ft

Width = 2ft

300

Nicholas has traveled 540 miles in 9 hours. Create a ratio table to show how far Nicholas can travel in 3, 6, and 9 hours

3 hours = 180 miles

6 hours = 360 miles

9 hours = 540 miles

300

Multiply:

218 x 12

(Must show all work)

2,616

300

Linda can make snow cones, using a ratio of 2 drops of syrup to 9 drops of concentrate.

If we write an equation to find the number of drops of concentrate Linda uses for every drop of syrup, what is our k value?

k = 9/2

300

Sharon spent 810 dollars on food over the course of 18 days. What was her unit rate in terms of cost per day?

(Must show all work)

45 dollars per day

400

What is the scale factor used to make figure ACT from figure GDO?


4

400

Peggy is picking apples. She has picked:

17 red apples, 19 green apples, 14 yellow apples

If she picked these amounts 4 times, what is the final ratio of yellow to green to red apples?

56 to 76 to 68

400

Divide:

408 / 12

(Must show all work)

34

400

Stacy makes trail mix using a ratio of 6 ounces of almonds for every 4 ounces of chocolate.

Write an equation (in the form of y=kx) that shows the relationship between the ounces of almonds, a, and the ounces of chocolate, c?

a = (6/4)c

400

Danielle walked 6 kilometers in 2/3 of an hour. At what rate did she walk, in kilometers per hour?

9 kilometers per hour

9kph

500

Walter is remodeling his living room to be 1 1/3 times as large. His current living room is 21 feet by 33 feet. What are the dimensions of his new living room?

28 feet by 44 feet

500

Courtney is baking desserts. Every 3 hours, she can make 6 pies, 3 cakes, and 36 cookies. If she ends the day with 216 cookies, how many hours did she spend baking?

18 hours



DAILY DOUBLE









How many cakes, cookies, and pies could Courtney make given 24 hours?

500

Divide:

918 / 24

(Must show all work; answer must have two decimal places)

38.25

500

Martha and Josh are making lemonade. Marth uses 1/5 a cup of sugar for every 2 cups of water. Josh uses 2/7 cups of sugar for every 3 cups of water.

If each are using 1 cup of sugar, how many cups of water will they each use?

Martha: 10 cups of water

Josh: 10.5 cups of water 

500

Two grocery stores are selling bananas at different rates:

Store A: 4/5 pounds for $8

Store B: 1 1/2 pounds for $12

What are each store's cost in price per pound

(Must show all work)

Store A = $10 per pound

Store B = $8 per pound