Compound Probability
A bag contains 4 red marbles, 6 blue marbles and 5 green marbles. If three marbles are drawn out of the bag, what is the exact probability that all three marbles drawn will be green?
1/9
A rectangular garden measures 15 meters by 8 meters. What is its area?
15 x 8 = 120 square meters
A rectangle has a length of 10 meters and a width of 5 meters. What is its perimeter?
10 + 10 + 5 + 5 = 30 meters
A cube has a side length of 5 centimeters. What is its volume?
Answer: Volume = side3 = 53 = 125 cubic centimeters
There is a spinner with 13 equal areas, numbered 1 through 13. If the spinner is spun one time, what is the probability that the result is a multiple of 5 and a multiple of 2?
1/13
A triangle has a base of 6 centimeters and a height of 8 centimeters. What is its area?
(1/2) x 6 x 8 = 24 square centimeters
A triangle has sides of 6 meters, 8 meters, and 10 meters. What is its perimeter?
6 + 8 + 10 = 24 meters
A rectangular prism has a length of 8 meters, a width of 4 meters, and a height of 2 meters. What is its volume?
Answer: Volume = length x width x height = 8 x 4 x 2 = 64 cubic meters
In a certain Algebra 2 class of 30 students, 7 of them play basketball and 11 of them play baseball. There are 3 students who play both sports. What is the probability that a student chosen randomly from the class plays basketball or baseball?
0.5
A circle has a radius of 4 centimeters. What is its area?
π x 4^2 = 16π square centimeters (approximately 50.27 square centimeters)
A circle has a diameter of 14 centimeters. What is its perimeter (circumference)?
Circumference = π x diameter = 3.14 x 14 = 43.96 centimeters
A cylinder has a radius of 3 centimeters and a height of 6 centimeters. What is its volume?
Answer: Volume = π x radius2 x height = 3.14 x 32 x 6 = 113.04 cubic centimeters
In a certain Algebra 2 class of 24 students, 16 of them play basketball and 7 of them play baseball. There are 5 students who play neither sport. What is the probability that a student chosen randomly from the class plays basketball or baseball?
23/24
A trapezoid has two parallel sides of 8 centimeters and 12 centimeters, and a height of 6 centimeters. What is its area?
(1/2) x (8 + 12) x 6 = 60 square centimeters
A pentagon has five sides of equal length, each 6 centimeters long. What is its perimeter?
Perimeter = 5 x 6 = 30 centimeters
A triangular prism has a base with a length of 6 centimeters, a width of 4 centimeters, and a height of 2 centimeters. The prism has 5 triangular faces with the same dimensions. What is its volume?
Answer: Volume = (1/3) x base x width x height x number of faces = (1/3) x 6 x 4 x 2 x 5 = 80 cubic centimeters
A bag contains 6 red marbles, 8 blue marbles and 4 green marbles. If two marbles are drawn out of the bag, what is the probability, to the nearest 1000th, that both marbles drawn will be blue?
0.183
A rectangle has a length of 9 meters and a width of 5 meters. If a rectangle with the same width is added on to the end of the original rectangle, what is the total area of the new rectangle?
Original area = 9 x 5 = 45 square meters. New area = 9 x 5 + 5 x 5 = 45 + 25 = 70 square meters.
A hexagon has six sides of equal length, each 8 centimeters long. What is its perimeter?
Perimeter = 6 x 8 = 48 centimeters
A sphere has a diameter of 12 centimeters. What is its volume?
Answer: Volume = (4/3) x π x radius3 = (4/3) x 3.14 x (63) = 904.32 cubic centimeters