Probability
I roll a two standard dice and add the numbers I roll together, what is the most likely number I get?
7
If Peter has fifteen apples and three oranges, what is the simplified ratio of apples to oranges?
5 apples :1 orange
If a pair of shoes cost 100 dollars, and it cost 13% more with tax, how much do you pay all together?
113 dollars.
2x + 3 = 9
What is the value of x?
x = 3
A giant brick is 7 meters wide, 5 meters long and 3 meters high. What is it's volume?
105 meters cubed.
I roll a die and flip a coin. How many possible outcomes are their from this?
12
If it takes 25 minutes to solve 40 homework problems, on average, how long does it take to solve one of them?
0.625 minutes for every problem, or 37.5 seconds per problem.
If you make eighty thousand dollars a year, and you save 5% of it, how much will you have saved after a decade?
Forty thousand dollars
6w = 2w + 44
What is the value of w?
w = 11
Billy has a soccer ball. The radius of the ball is 12 centimeters. What is the volume of the ball in millimeters?
7,238,230 millimeters cubed
I flip a coin ten times, and every time it comes out as heads. I flip it one more time. What are the odds it comes out as heads?
50%
If Tom drives to work, that is 20 km away from his house, and he drives at 60 km an hour, when will he get home? (Assume he's moving at 60 km the second he leaves the house, stays at exactly 60 km an hour the whole time he drives, and magically goes from 60 km an hour to 0 when he reaches work)
20 minutes.
Bobby buys a new jacket for 60 dollars. It's on sale 33% off, and he has a coupon for 10 dollars. In total, what percentage of the cost of the jacket did he save?
50%
-3(9 + 4x) = 18 + 3x
x = -3
A model pyramid has a base length of 5 meters and a height of 7.5 meters. What is it's volume?
62.5 meters cubed.
John has a spinner, 30% blue, 30% red, 30% purple and 10% white. John spins it three times. What are the odds it lands on red once, white once and purple once?
5.4% chance.
In the span of an hour, Carl first drive at 30 km an hour for twenty minutes, speed up to 50 km an hour for 30 minutes, then slow down to 10 km an hour for 10 minutes, how much distance did Carl cover?
36.67 kilometers.
Bob's credit card debts, student loans, mortgages and other debts add up to 25 thousand dollars. Assume this is half of his needs. Using the 50-30-20 rule, how much should Bob's income be?
One hundred thousand dollars.
In the problem, 45 - 6 + (32 + 2) + 14, what are the first two things that must be done?
Square 3 to get 9, and add 2 to get 11, finishing everything in the parentheses.
Jimmy has an ice cream cone. The diameter of the cone is 8 centimeters and the height is 15 centimeters. Including the semi-sphere, what is the volume of the cone?
385.37 centimeters cubed.
Jimbob has a spinner with equal chances of black, white, red and green. He spins this spinner 8 times and gets black, black, white, black, red, green, red, black. Compare this to the theoretical probability of the spinner outcomes and percentages.
Black: 50% and 25%
White: 12.5% and 25%
Red: 25% and 25%
Green 12.5% and 25%
Johnny and Jenny race for 15 minutes. Johnny runs at 5 meters per second, and Jenny, 3 meters per second. Every five minutes, Johnny rests for 15 seconds, and Every 3 minutes, Jenny rests for 5 seconds. Who will make it farther, and how far did each of them travel?
Johnny wins, travelling 4500 meters, while Jenny covers 2625 meters.
Tony decided to get a car on April 2nd 2025, but the dealership closed and he decided to get one the next day. Not checking the news, he went to the dealership with 60 thousand dollars. To his dismay, he found out the car he wanted now cost seventy five thousand dollars. What happened?
Trump's executive order put 25% tariffs on cars that day.
2(3x−4)+5=3(2x+1)−7
Does this have a solution?
No.
A 50 meter metal pole has a diameter of 4 meters and an inside diameter of 2 meters. What is the volume and capacity of this pole?
Volume: 2513.27
Capacity: 628.32