### All ACT Math Resources

## Example Questions

### Example Question #1 : Infinite Fractions

How many rational numbers are there between 0 and 5?

**Possible Answers:**

Infinitely many

5

6

0

**Correct answer:**

Infinitely many

Rational numbers are written in the form where ; therefore, we can write infinitely many combinations of rational numbers between 0 and 1, e.g. 1/2, 1/3, 1/4, 1/5, 1/6 . . . .

### Example Question #2 : Infinite Fractions

A flight from Boston to Los Angeles lasts about 6 hours. The time zone difference is such that it is 3 hours later in Boston. If the flight leaves Boston at 8:00 AM, what will be the local time in Los Angeles when the plane arrives?

**Possible Answers:**

3:00 PM

11:00 AM

2:00 PM

5:00 PM

1:00 PM

**Correct answer:**

11:00 AM

The plane will land in Los Angeles at 2:00 PM Boston time (8:00 AM + 6 hours = 2:00 PM).

Going west, subtract the time zone difference. Going east, add the time zone difference.

So, 2:00 PM Boston time becomes 11:00 AM local time in Los Angeles (2:00 PM – 3 hours = 11:00 AM).

### Example Question #3 : How To Find The Amount Of Rational Numbers Between Two Numbers

How many rational numbers are between 1 and 2?

**Possible Answers:**

Two: 1 and 2

None

Just one

Infinitely many

**Correct answer:**

Infinitely many

The definition of a rational number is an integer or a fraction. We can take the fractions 3/2, 4/3, 5/4, 6/5, 7/6, 8/7,...and continue in this way to realize there are infinitely many rational numbers.