Scale Drawings
Ratios
Circles
Unit Rate
Proportional Relationships
100
A model is built with a scale of 1 ft: 12ft. If the model plane is 3 feet long, how long is the actual plane?
36 feet
100
Which of the following is not proportional to 9/12?
a. 6/7
b. 6/8
c. 3/4
d. 12/16
100
A circle has a radius of 5. What is its diameter?
10
100
Andy earns $8.50 per hour. How much does he earn in 9 hours?
$76.50
100
What is the constant?
45
200
A model house is shown above with a scale of 2 inches to 5 feet. How tall is the actual house?
21.25 feet
200
Which of the following show equivalent ratios?
A. 1:2 and 3:4
B. 1:3 and 4:5
C. 4:5 and 8:10
D. 3:5 and 6:8
200
A circle has a cirumference of 31.4. What is its diameter rounded to the nearest whole number?
10
200
Fred drove 18 miles on 1/2 gallon of gas. How many miles did he drive per gallon of gas?
36 miles per gallon
200
B
300
52.5
300
Is 4:5 equivalent to 36:45?
yes
300
A circle has a diameter of 6. What is its exact area?
9pi
300
One lap around a track is 1/3 mile. It takes Mrs. Day 1/4 hour to ride one lap. What is Mrs. Day's unit rate around the track?
1 1/3 miles per hour
300
What is the constant of proportionality?
6
400
A drawing of a building has a scale of 1 inch to 23 feet.
What is the actual height of the building if the drawing shows the height at 1.25 inches?
28.75 feet
400
Is 128:142 equivalent to 64:71?
yes
400
A circle has a diameter of 21 inches. What is the area of the circle to the nearest hundredth of a square inch?
346.36
400
The local bakery uses 1.75 cups of flour in each batch of cookies. The bakery used 5.25 cups of flour this morning. How many batches of cookies did the bakery make?
3
400
D
500
Carson designs a garden with a length of 4 inches and a width of 2 inches. The design and the full-sized garden are similar. If the length of the full-sized garden is 50 feet, what is it's width?
25 feet
500
Is 98:146 equivalent to 49:72?
No
500
Kiko used a wire fence to form a border around a circular region in her backyard. If the radius of the region was 5 yards, what is the total length of the border rounded to the nearest tenth?
31.4 yards
500
The rate at which Mr. Z grades papers in 7 papers per day. Mr. Z teaches 5 classes and each class has 25 students. If each student turns in one paper, how long will it take him to grade all of the papers, to the nearest day?
18 days
500
What is the unit rate? What point represents the unit rate? What equation can we use to represent this relationship?
K=2, (1,2), D=2P