### All GED Math Resources

## Example Questions

### Example Question #1 : Number Lines

is the midpoint of ; is the midpoint of ; is the midpoint of .

What fraction of is ?

**Possible Answers:**

**Correct answer:**

Try thinking of as a number line with endpoint at 0, and endpoint at 8. , the midpoint of , would be at 4. , the midpoint of , would be at 2; , the midpoint of - whose endpoints are at 2 and 8 - would be at 5.

;

is of .

### Example Question #2 : Number Lines

is the midpoint of ; is the midpoint of ; is the midpoint of .

What percent of is ?

**Possible Answers:**

**Correct answer:**

Try thinking of as a number line with endpoint at 0, and endpoint at 8. , the midpoint of , would be at 4. , the midpoint of , would be at 2; , the midpoint of - whose endpoints are at 2 and 8 - would be at 5.

;

Therefore,

is of

### Example Question #3 : Number Lines

Refer to the above number line. Which of the points is most likely the location of ?

**Possible Answers:**

**Correct answer:**

Convert to a decimal by dividing 5 by 9.

, so it falls between 0.55 and 0.56 on the number line. Point is the correct response.

### Example Question #4 : Number Lines

Refer to the above number line. Which of the points is most likely the location of the number ?

Do not use a calculator.

**Possible Answers:**

**Correct answer:**

, so

Point is in this range, so this is the correct response.

### Example Question #5 : Number Lines

Refer to the above number line. Which of the points is most likely the location of the product of 2 and ?

Do not use a calculator.

**Possible Answers:**

**Correct answer:**

, so

Point falls between 6.2 and 6.3 on the number line, so this is the correct choice.

### Example Question #6 : Number Lines

Refer to the above number line. Which of the points is most likely the location of the number ?

Do not use a calculator.

**Possible Answers:**

**Correct answer:**

, so .

Therefore, .

Of the four points, falls in this range, so it is the correct response.

### Example Question #7 : Number Lines

On a number line, how far apart are -2 and 7?

**Possible Answers:**

5 units

2 units

9 units

7 units

-9 units

**Correct answer:**

9 units

On a number line, negative numbers lie to the left of zero and positive numbers lie to the right. To count the distance, count the slots between the two numbers:

There are TWO units between -2 and 0, and there are SEVEN units between 0 and 7. Together, there are NINE units between them.

### Example Question #8 : Number Lines

On a number line, which of the following is the greatest distance?

The distance between -3 and 0.

The distance between -1 and 2.

The distance between -2 and 2.

**Possible Answers:**

The distance between -1 and 2.

The distance between -3 and 0.

All distances are equal.

The distance between -2 and 2.

**Correct answer:**

The distance between -2 and 2.

On a number line, the negative numbers lie to the left of zero and positive numbers lie to the right. To visualize the distance between numbers, look at the units:

-3 and 0 are 3 units apart.

-1 and 2 are 3 units apart

-2 and 2 are 4 units apart. This is the greatest distance.

### Example Question #9 : Number Lines

Which distance is greatest?

The distance between -2 and 1.

The distance between 1 and 7.

The distance between -2 and 5.

**Possible Answers:**

The distance between -2 and 1.

The distance between 1 and 7.

All distances are equal.

The distance between -2 and 5.

**Correct answer:**

The distance between -2 and 5.

Looking at a number line, you can visualize the distance between positive and negative numbers:

There are THREE units between -2 and 1

There are SIX units between 1 and 7.

There are SEVEN units between -2 and 5, so this is the greatest distance.

### Example Question #10 : Number Lines

A) The distance between -2 and 5 on a number line.

B) The distance between -1 and 3 on a number line.

**Possible Answers:**

6

3

4

5

7

**Correct answer:**

3

The first step is to find out the values of A and B by counting the units between the given numbers.

A) The distance between -2 and 5 on a number line is 7.

B) The distance between -1 and 3 on a number line is 4.