Show:
Unit Rates
Missing Angles
Scale Drawings
Similar Figures
Geometry
100
Find the unit rate: 8 gallons on 220 miles. How many miles per gallon did the car get?
27.5 miles per gallon
100
On a line one angle is 59 degrees. What is the other angle?
121 degrees
100
If a ferris wheel has an actual height of 36 meters, what is the height of the scale if 0.5 cm is equal to 1.5 meters?
12 cm
100
If a 6 foot tall lawn statue casts a 12 foot long shadow then how long is the shadow that a 10 foot tall statue casts?
20 foot long shadow
100
A rectangular prism has a base of 4 inches, a height of 3 inches, and a width of 7 inches. What is the volume of the prism?
The volume equals 84 inches cubed.
200
After 3.5 hours, Pasha had traveled 217 miles. If she travels at a constant speed, how far will she have traveled after 4 hours?
248 miles
200
There are three angles on a line. One angle is 43 and another is 74. What is the missing angle?
63 degrees
200
On a map, the distance from Akron to Cleveland measures 2 centimeters. What is the actual distance if the scale on the map show that 1 centimeter is equal to 30 kilometers?
60 kilometers
200
Bill is 6 feet tall and has a 9 foot shadow. A nearby tree has a 25 foot shadow. How tall is the tree?
16 2/3 feet
200
A rectangular prism has a base of 4 inches, a height of 3 inches, and a width of 7 inches. What is the surface area of the prism?
The surface area is 122 inches squared.
300
CD Express offers 4 CDs for $60. Music Place offers 6 CDs for $75. Which store offers the better buy?
CD Express cost $15 per CD Music Place cost $12.50 per CD Music Place is a better deal.
300
On an isosceles triangle, the top angle is 40 degrees. What are the bottom two angles?
70 degrees each
300
An engineer makes a model of a bridge using a scale of 1 inch = 3 yards. The length of the actual bridge is 50 yards. What is the length of the model?
16 2/3 inches
300
A flagpole that is 3 meters tall casts a shadow 5 meters long at the same time that a building nearby casts a shadow 62 meters long. How tall is the building?
37.2 meters
300
A triangular prism has a triangle base of 4 inches and height of 3 inches with a width of 5 inches. What is the volume of the prism?
30 inches cubed
400
Mr. Ito is spreading mulch in his yard. He spreads 4 2/3 square yards in 1/3 hours. How many square yards can he mulch per hour?
14 square yards per hour
400
A triangle has one angle that measures 135, another that measures 15, and a missing angle. What is the measurement of the missing angle?
30 degrees
400
The length of an actual bird is 5 7/8 inches. The scale factor is 1 inch = 0.5 inch. How big is the bird on the scale?
11 3/4 inches
400
Two triangles are next to each other. One triangle has sides of 2, 4, 6 and angles that measure 30, 60, 90 degrees. The other triangle has sides for 8, 16, 24 with angles that measure 40, 60, and 80. Are the triangles similar? Why or why not?
No they aren't similar. Although the sides are proportional, the angles do not equal one another. Similar figures must have proportional sides AND equal angles.
400
A triangular prism has a triangle base of 4 inches and height of 3 inches with a width of 5 inches. The slant of the triangle base is also 5. What is the surface of the prism?
72 inches squared
500
Mary is making pillows for her Life Skills class. She bought 2 1/2 yards of fabric. Her total cost was $15. What was the cost per yard? She needs to buy 4 more yards of fabric; how much more money will she need to spend?
$6 per yard $24 more for 4 more yards
500
One angle is 100 degrees. It's opposite angle is equal to 2x + 4. What is the value of x?
x = 48 degrees We know opposite angles are equal; therefore, 2x + 4 = 100
500
Julie is constructing a scale model of her room. The rectangular room is 10 1/4 inches by 8 inches. If 1 inch represents 2 feet of the actual room. What are the actual dimensions of the room? What is the area of the room?
20 1/2 feet by 16 feet Area = 328 squared feet
500
Two triangles are next to one another. Both triangles have angles that measure 70, 30, 80. One triangle has sides of 4, 10, 15. The other triangle has sides of 12, 30, 45. Are the triangles similar? Why or why not?
The triangles are similar. The angles measure the exact same and 4/12 = 10/30 = 15/45 all equal 3. Therefore, the sides are proportional.
500
A cube has a surface area of 216 inches squared. What is the area of each side? What is the measurement of each side?
The area of each side is 36 inches squared. Each side measures 6 inches.