Circles
Scale
Multi-Step
Proportional Relationships
Vocab
100

What is the diameter of a circle with a 8 in radius? 

16 in 

100

Jackson draws a model of his yard using the scale 3 ft to 1 in. If his yard is 39 ft long, how long is Jackson's drawing?

13 inches

100

Antone is baking Lili dog treats. The ingredients are 1.6 oz of flour, 0.4 oz of pumpkin, and 0.5 cups of water. If the recipe makes 5 treats, how many ounces of pumpkin will Antone need to make 20 treats? 

1.6 ounces

100

A plane traveled 9645 miles in 5 hours. Find the unit rate. 

1929 miles per hour

100

The length across an entire circle

diameter

200

What is the exact area of a circle with a 10 cm radius?

100pi cm sq

200

A drawing of Antone's house is 2 in to 5 ft. If the drawing of Antone's house is 8.5 in tall, how tall is Antone's house in real life?

21.25 ft tall

200

Michael went to the fair. It cost him $15 for fair entrance, and ride tickets were each $2. If Michael brought $45 to the fair, how many ride tickets did he buy?

15 ride tickets

200

Jason is planning a trip with his family. He needs one adult for every 4 of his cousins. How many adults will Jason need if 16 cousins go on the trip?

4 adults

200

The number used to multiply to get any number in a proportional relationship

constant of proportionality

300

What is the approximate area of a circle with a 10 cm radius?

314 sq cm

300

Simon bought a scale drawing of the castle at Disneyland. The scale of the drawing is 60 ft per in. Simon wants to redraw the drawing using the scale 100 ft per in. If the side of the drawing is 8 inches, what will the side of the new drawing be?

4.8 inches

300

Loni and Mark meet at Six Flags. Together, they traveled 400 miles in 4 hours. If Mark traveled 212 miles, what was Loni's speed in miles per hour? 

47 miles per hour

300

Karla buys rabbit food at $6 per pound. Write an equation representing the cost, c, for p, pounds of rabbit food. 

c=6p

300

A fraction with another fraction in the numerator and/or denominator 

complex fraction

400

A ferris wheel has a diameter of 50 ft. How many feet will the ferris wheel travel after 6 rotations? Use 3.14 for pi. 

942 ft

400

Ashley is drew a picture of her hamster. Originally, she used a 5 cm to 1 in scale to draw the hamster. She wants to know which new scale would be bigger:

 10 cm to 1 in or 2 cm to 1 in? 

Explain. 

2 cm to 1 in

400

A website offers $15 off for every $75 purchase. How much money would you need to spend to receive $90 off? 

$375

400

Jordan walks 3/4 of mile for every 6/9 of a mile Alexandria runs. How many miles does Jordan walk for every mile Alexandria runs?

1 1/8 miles

400

the rate per one

unit rate

500

A circle has a diameter of 5 in. 

Find the Area and Circumference. Use 3.14 for pi. 

A= 19.625 sq in 

C= 15.7 in

500
Laura wants to enlarge a postcard she bought while on vacation. The photocenter at Costco offers to enlarge photos at the scale 1 in to 4 inches. If the canvas Laura received was 24 inches long, how big was the original postcard?



6 inches

500

Sierra writes a 4 minute song containing 132 beats. Write an equation showing the total beats, b that happen for minute, m, of Sierra's song. 

b=33m

500

Find the constant of proportionality: c=7.5t

7.5

500

the length around the entire circle

circumference 

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