Which three-digit number, made of consecutive digits, like 567, is 2 less than a cube and 2 more than a square?

Baseball bat and ball cost $100. If the bat cost $99 more than the ball, what is the cost of each?

How many pluses should we put between the digits of 987654321 to get a total of 99, and where?

Three brothers Jacob, John, and James live in Mexico City. The product of the ages of these brothers is 175. Jacob and John are twins. How old is James?

Can you think of a smallest +ve number such that if we shuffle the digits of the number, the new number becomes double the original number?

You need to arrange three 7 and mathematical symbols to form number 1?

Below, you will find the mathematical proof that 10 equals 9.99999?. But is that possible or there is something wrong about it? Can you find the error?

x = 9.999999...
10x = 99.999999...
10x - x = 90
9x = 90
x = 10

A high school has a strange principal. On the first day, he has his students perform an odd opening day ceremony:

There are one thousand lockers and one thousand students in the school. The principal asks the first student to go to every locker and open it. Then he has the second student go to every second locker and close it. The third goes to every third locker and, if it is closed, he opens it, and if it is open, he closes it. The fourth student does this to every fourth locker, and so on. After the process is completed with the thousandth student, how many lockers are open?

An octopus has 8 legs. A hippogriff has 6 legs and 2 pairs of wings. A sphinx has 6 legs and one pair of wings. Now we have all 3 kinds and a total of 18 insects in a cage. We have a total of 118 legs and 20 pairs of wings. How many insects do we have of each kind?

Can you write down eight eights so that they add up to one thousand?