Probability
What is the probability of rolling a total of 7 with 2 dice.
6/36 or 1/6
What is the area of an equilateral triangle with side length 6?
9 sq rt 3
What is the value of 12^2 - 8^2?
80
If the cost of a bat and a baseball combined is $1.11 and the bat costs $0.87 more than the ball, how much is the ball?
$0.12
There are 85 people in a warehouse. Some have been turned to zombies; some are still alive. The ratio of zombies to people is 2:3. How many zombies are there?
34
Bob and Teresa have 5 boys and are expecting their 6th child. What is the probability that they will have a girl?
50%
If an isosceles triangle has base angles that are each four times the measure of the smaller angle, what is the degree measure of one of the base angles?
80
If a^2 - b^2 = 24 and a - b = 2
What is the value of a + b?
12
9 - 3 / (1/3) + 1
1
What is the least common multiple of 84 and 63?
252
What is the probability of rolling a Yahtzee in 1 roll.
6/7776 or 1/1296
What are the side lengths of a 30-60-90 triangle with hypotenuse 10.
5 and 5 sq rt 3
What is the value of 212^2 - 211^2?
423
1 = 4
2 = 16
3 = 64
4 = ?
256
The number a is 5 times as large as b. The sum of a and b is 15. What is the value of the product ab? Express your answer as a common fraction.
125/4
What is the probability of getting a large straight in Yahtzee on the first roll.
240/7776 or 5/162
What is the ratio of the number of degrees in the interior angle of a regular pentagon to the number of degrees in the interior angle of a regular hexagon. Express your answer as a common fraction.
9/10
What is the value of 2115^2 - 2114^2?
4229
There is a patch of lily pads on a lake. Each day the patch doubles in size. It takes 48 days for the entire lake to be covered. How long does it take for half the lake to be covered?
47 days
How many different outfits, each consisting of a sweater and a pair of jeans, can Jelena make choosing from four sweaters and three pairs of jeans?
12
Monty Hall Problem: You're on a gameshow & there are 3 doors: 1 with a car behind it and 2 with goats. You pick a door, say #3 & the host shows you what is behind another door, say #1, which has a goat. She then says to you: "do you want to switch to door #2 or stay with #3?" Is it to your advantage to switch your choice? What is the probability that there is a car behind door #2?
Yes, 66.7%
What is the volume of a sphere with diameter 6 m.
36pi m2
What is the value of the expression (20^2 - 1)/19?
21
6 / 2 (1+2)
9
Grapes are 80% water by weight. When a bushel of grapes dries in the sun for two weeks, it loses 50% of its total weight. All of the weight loss is due to the loss of water. After drying for two weeks, what percentage of the grapes is water by weight? Express your answer to the nearest percent.
60%