Area and Perimeter
Pythagorean Theorem
Volume
100
The dimensions of Sophia's vegetable garden are shown. She wants to place fencing around the garden. How many feet of fencing will she need?
Correct answer: 54 feet
100
The sides of a right triangle are 8 inches and 6 inches. Find the hypotenuse.
Correct answer: 10 inches
100
A storage unit measures 15 feet by 10 feet by 8 feet. Which expression can be used to determine the volume of the storage unit?
A. 2(15 x 10 x 8)
B. 15 + 10 + 8
C. 10 x 8 x 15
D. Not enough information
C. 10 x 8 x 15
200
Which of the following expressions could be used to find the area of the figure shown?
A. 32
B. 1/2 x 3 x 3
C. 3 x 3
D. 3 x 4
B. 1/2 x 3 x 3
200
What is the missing side length, b in this right triangle?
Correct answer: 45 cm
200
What is the volume of a cube with a side length of 9 inches?
Correct answer: 729 cubic inches
300
What is the area of this parallelogram?
Correct answer: 108 square centimeters
300
To the nearest tenth of a unit, what is the length of side AB?
Correct answer: 20.5 units
300
The water cooler in Ava's office has cups shaped like cones. The cups have a radius of 3 inches and a height of 8 inches. What is the approximate volume of each cup. Round to the nearest whole number.
Correct answer: 75 cubic inches
400
An artist is creating a sculpture. What is the area of this side of the sculpture?
Correct answer: 405 square inches
400
What is the length of the diagonal of a 10 cm by 15 cm rectangle? Round your answer to the nearest hundredth.
Correct answer: 18.03 cm
400
The pyramid of Giza in Egypt has a square base. A model of the pyramid is 4 feet long on one side and 4 feet high. What is the volume of the model rounded to the nearest whole number?
Correct answer: 21 cubic feet
500
The distance around a circular badge is 1.5 pi inches. What is the longest distance from each end of the badge?
Correct answer: 1.5 inches
500
The bottom of a ladder must be placed 3 feet from a wall. The ladder is 10 feet long. How far above the ground does the ladder touch the wall? Round your answer to the nearest whole number.
Correct answer: 10 feet
500
A gem is cut into two square pyramids connected at their base. The length of each side of the base is 8 cm and the height of each pyramid is 6 cm. Determine the volume of the gem.
Correct answer: 256 cubic cm
600
A dog's leash claims to cover an area of 628 ft2. What is the approximate length of the dog's leash?
Correct answer: 14 ft
600
How far from the base of a house would you need to place a 15 foot ladder so that it reaches exactly to the top of a 12 foot tall wall?
Correct answer: 9 feet
600
The volume of a cone is 100 pi m3. The height of the cone is 12 m. Determine the diameter of the cone.
Correct answer: 10 m
