Counting & Probability
With a six-sided numbered die, what is the probability of rolling a 3?
1/6
Solve for x. 15-x=5
10
Find the area of a rectangle with length 8 and width 3.
24
Jason is saving money to buy a video game that costs $60. He saves $8 each week. After how many weeks will Jason have enough money to buy the game?
7.5 weeks
What is the value of 1/2 + 1/3 + 1/4 + 1/5? Express in terms of a common fraction.
77/60
What is 5!
120
Simplify 3(x+4)-2x
x+12
What is the area of a triangle with a base of 16 and a height of 4?
32
Raj made $200 doing odd jobs last month. He spent 49% of the money on video game accessories. How many dollars did Raj spend?
98$
The arithmetic mean of 5, 8, 11, a, and b is 9. What is the value of a+b?
21
How many numbers are in the list 4, 8, 12, 16... ...52, 56, 60?
15
Solve for x. x/3 + 2 = 5.
What is the hypotenuse of a right triangle with legs of 3 and 4?
5
Manny is thinking of a number. If Manny’s number is divided by 13, then multiplied by 11, then decreased by 12, and then added to 73, the result is 94. What is Manny’s original number?
39
The two legs of a right triangle are 8 meters and 15 meters. What is the perimeter of the triangle in meters?
40
Given the letters M, A, T, and H, what is the probability that when arranging the letters randomly, you get the word MATH?
1/24
Factor x^2 + 5x + 6.
(x+2)(x+3)
What is the volume of a cube with side lengths of 4?
64
If the sum of the number of roses and violets in a bouquet is 22, and roses outnumber violets by 2, what is the number of violets in the bouquet?
10
What is the units digit of 3^75?
7
Joe has 3 shirts, 4 pants, and 5 hats. How many different outfits can he create?
(Each outfit includes 1 shirt, 1 pair of pants, and 1 hat.)
60
x^2-4x=5, solve for x.
5 and -1
A circle has a diameter of 10, what is the circumference in terms of pi?
10pi
A school is planning a field trip. The total cost for the trip is $1,200. There are 30 students going, and the school agrees to pay 25% of the total cost. The rest is split equally among the students. Later, 5 students cancel, so only 25 students are going. The school still pays the same amount. How much does each of the remaining 25 students have to pay?
36$
What percentage of positive integer divisors of 120 are even?
75%