Percentages and Fractions
What is 20% of 50%
10%
What is the factored form of x2-4x-77?
(x-11)(x+7)
Aaron has 3 times as much money as Josh. If Aaron gives Josh $50, Joseph will have 3 times as much money as Aaron. How much money do the two of them have together?
$100
If Sphere A has twice the radius of Sphere B, what is the ratio of the volume of Sphere A to Sphere B?
8:1
A jar has 5 coins (a penny, a nickel, a dime, a quarter, and a Sacagawea dollar). If 4 coins are removed from the jar at random, what is the probability that the Sacagawea dollar remained in the jar?
1/5
What is 5/8 of 1/2?
5/16
What is x2-1.44 in factored form?
(x+1.2)(x-1.2)
The number of shells in Fred's collection is 80% of the number in Phil's collection. If Phil has 80 more shells than Fred, how many do they have altogether?
720
If the center of a circle that crosses the origin of a graph is at (3, 4), what is the radius of the circle?
5
If you have an 80% chance of making a free throw in basketball, what is the probability that you will make your next two free throws in a row?
0.64
A French class has only boys and girls. It has 12 boys and 18 girls. What fraction of the class is boys? (Please simplify your answer)
2/5
What is (x2+8x)/(2x)
0.5x + 4
As a fundraiser, the Key Club was selling two types of candy: lollipops at 40 cents each and chocolate bars at 75 cents each. On MOnday, the members sold 150 candies and raised $74. How many lollipops did they sell?
110
Cylinder A has a radius that is three times the radius of Cone B. Cylinder A is also half the height of Cone B. What is the ratio of the volume of Cone B to Cylinder A?
1 : 27/2
There is a 9/10 chance that Sophie Germain high school wins the local math triathlon on Saturday and a 1/3 chance that Carlos-Castillo Chavez high school loses the local science competition. Assuming that ties are impossible, what is the probability that both schools win their respective competitions?
60% or 3/5
What percent/fraction of single digit integers are prime?
40% or 2/5
If a2+b2=11 and ab=4, what is (a+b)2?
19
Two printing presses can complete a job in 2.5 hours. Working alone, press A can do the job in 10 hours. How many hours will press B take to do the job by itself?
3 1/3 hours OR 10/3 hours
2*pi
A circular dart board with a radius of 12 inches has a circular target with a radius of 6 inches attached to it. If an airborne dart has a 100% of hitting the board and an equal chance of hitting any point of the board, what is the probability that it will hit the circular target?
1/4 or 25%
If 7a=3 and 3b=7, what is a/b?
9/49
What is the value of (a2 - b2)/(a - b) when a = 7 and b = 3.2?
10.2
Each of the 10 players on the basketball team shot 100 free throws, and the average number of baskets made was 75. When the highest and lowest scores were eliminated, the average number of baskets for the remaining 8 players was 79. What is the smallest number of baskets anyone could have made?
18
On Triangle ABC, C = 90 degrees. If sin(A) = 0.76, what is cos(B)?
0.76
It's the fourth of July. If there is a 0.2% chance that there will be a blackout in Boston, a 0.45% chance that there will be a blackout in Philadelphia, and a 0.6% chance that there will be a blackout in New York City, what is the probability that all three cities will have a blackout? (You may put your answer in scientific notation).
0.000000054 or 5.4 x 10-8 or 5.4 x 10-6 %