Scale Drawings
Proportional Relationships
Circles
Percentages
Area and Perimeter
100

Tyler says that Figure B is a scaled copy of Figure A because all of the peaks are half as tall.

Do you agree with Tyler? 


No. For the smaller figure to be a scaled copy, the figure would have to be half as wide as well.

100

What is a equivalent ratio that is equivalent to 7:3.

Some are: 

14:6

21:9

28:12

100

If the radius of a circle is 2 inches what is the diameter?

4 inches

100

What is 62% as a decimal?

.62

100

What is the area of the shape?

144 yards2

200

If a rectangle had the length of 4 and width of 2, and it is being scaled up by 5, what would the length be?

Length would be 20 because 4(5)=20

200

In one version of a trail mix, there are 3 cups of peanuts mixed with 2 cups of raisins. In another version of trail mix, there are 4.5 cups of peanuts mixed with 3 cups of raisins. Are the ratios equivalent for the two mixes?

Yes, since 3 times 1.5 is 4 and 2 times 1.5 is 3.

200

If the diameter of a circle is 5 inches, what is the circumference? 

15.7 inches

200

What is 2.5% as a decimal?

.025

200

What is the perimeter of the rectangle?


40 inches

300

Figure B is a scaled copy of Figure A. Select all of the statements that must be true:

A. Figure B is larger than Figure A.

B. Figure B has the same number of edges as Figure A.

C.Figure B has the same perimeter as Figure A.

D.Figure B has the same number of angles as Figure A.

E. Figure B has angles with the same measures as Figure A.

B, D, E 


A) It does not HAVE to be larger

B) The size does not change the amount of edges

C) The perimeter will change because the sides will change

D) The size does not change the amount of angles

E) The sides do not change the size of angles

300

What is the Constant of Proportionality?

The Constant of Proportionality is a number and/or operation that shows the relationship between two scenarios.

300

If the radius of a circle is 6 feet, what is the area?

113.04 feet2

300

In a video game, Clare scored 50% more points than Tyler. If c is the number of points that Clare scored and t is the number of points that Tyler scored, which equations are correct? Select all that apply.

  1. c=1.5t
  2. c=t+0.5
  3. c=t+0.5t
  4. c=t+50
  5. c=(1+0.5)t


A, C, E

300

What is the area of the triangle? 

25 yards2

400

The interior angle of a triangle is 22o. The Triangle is scaled by 5, what is the size of the angle now?

22because scaled copies have the same corresponding angles

400

An equation relating the distance traveled in miles, d, to the number of hours flying, t, is t=1/500(d). How long will it take the airplane to travel 800 miles?

1.6 hours since 1/500⋅800=1.6

400

If the circumference of a circle is 25.12 yards, what is the diameter?

Diameter = 8 yards

400

Last week, the price of oranges at the farmer's market was $1.75 per pound. This week, the price has decreased by 20%. What is the price of oranges this week?

$1.40 per pound, because 20% of 1.75 is 0.35 and 1.75−0.35=1.40

400

What is the area of the composite shape? 

62 centimeters2

500

Rectangle A has side lengths 6, 9, 9, and 6. Rectangle B is a scaled copy of Rectangle A, with its shortest side of length 2. What is the scale factor between Rectangle A and B?

Scale Factor is 1/3 

because 6 / ? = 2 : 6/3=2 so the scale factor is 1/3

500

Elena has some bottles of water that each holds 17 fluid ounces. Write an equation that relates the number of bottles of water (b) to the total volume of water (w) in fluid ounces.

w=17b or b=1/17w

500

The radius is 2 feet. What is the diameter, circumference, and area?

Diameter = 4 feet

Circumference = 12.56 feet

Area = 12.56 feet2

500

A pair of designer sneakers was purchased for $120. Since they were purchased, their price has increased by 15%. What is the new price?

$138

500

What is the area of the composite shape? 

57 feet2