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

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?

What number divided by 4 is the same as that number minus 4?

Solve the mathematical equation in the picture below.

I throw two dice simultaneously.

What is the probability of getting a sum as 9 of the two numbers shown?

A chicken farmer has figured out that a hen and a half can lay an egg and a half in a day and a half. How many hens does the farmer need to produce one dozen eggs in six days?

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

I am a prime number.
The double of myself is equal to the square of me.

which number am I?

Use the digits from 1 up to 9 and make 100.

Follow the rules.
=> Each digit should be used only once.
=> You can only use addition.
=> For making a number, two single digits can be combined (for example, 4 and 2 can be combined to form 42 or 24)
=> A fraction can also be made by combining the two single digits (for example, 4 and 2 can be combined to form 4/2 or 2/4)

Question: how can we do this?

Using Only Five 5's and any mathematical operator make sum as 37