"Infinity is really, really big. But what else can we say about it? Is it a number? Is it possible for something to be bigger than infinity? Take this quiz and find out!"

15 Points Per Correct Answer - No time limit

1.The mathematical symbol for infinity looks like which character turned on its side?

The letter 'S'

The number '7'

The number '8'

The letter 'P'

2.There are an infinite number of whole numbers between one and infinity. So, using that definition of infinity, which of these amounts is the greatest?

They are all the same

Infinity multiplied by infinity

Infinity

Infinity plus infinity

3.As there are an infinite number of whole numbers, how can the number of even numbers between one and infinity always be described?

Infinity

Square root of infinity

Infinity divided by two

None

4.If you want to move from A to B, you must first move half the distance from A to B. Then you must travel half the remaining distance. Then half of that, and so on, doing infinitely many moves. So, assuming you are moving at a constant speed, how is it possible to ever get anywhere?

Because infinitely small distances are an impossibility

It is theoretically impossible

Because each move takes proportionally less time

Because you move in paces, not infinitely small distances

5.One googol is 1 with 100 zeroes after it (10^100). One with one googol zeroes after it (10^[10^100]) is termed a 'googolplex'. So is a googolplex closer in value to infinity than one is?

Yes

No

6.It can be shown that the total number of real numbers (that is, numbers including fractions, pi, etc.) is different to the total number of whole numbers (1,2,3,etc.). So how is the second of these, the total number of whole numbers, described?

Aleph0

A0

Alpha0

A

7.So if there are different kinds of infinity, which is the biggest?

The set of real numbers

There is no biggest infinity

The set of whole numbers

The set of everything in the universe

8.So what is infinite? Is time infinite?

Yes, definitely

Maybe

No, definitely not

Infinity and time are unrelated concepts

9.A black hole is, some theories predict, infinitely dense. So can one ever be detected?

Yes, if we look straight at it

No, they can only exist in theory

Yes, but only if we could ever reach one

Yes, from its effects on nearby things

10.Finally, which great mathematician's work do modern concepts of infinity stem from?