### All GED Math Resources

## Example Questions

### Example Question #2 : Patterns And Sequences

What number replaces the circle in the following sequence?

**Possible Answers:**

**Correct answer:**

Add 2 to the first number to get the second; each subsequent increment is increased by 2. The pattern:

Add 12 to get the next element:

, which is the correct choice.

### Example Question #1 : Patterns And Sequences

What number replaces the circle in this sequence?

**Possible Answers:**

**Correct answer:**

After the first two elements, each subsequent element is the sum of the previous two (similar to the Fibonacci sequence).

The third and subsequent elements are calculated as follows:

, the correct response.

### Example Question #1 : Patterns And Sequences

What number replaces the circle in the following sequence?

**Possible Answers:**

**Correct answer:**

The sequence consists of the perfect square integer, except that every other element is negated. The sequence goes like this:

The next entry is .

### Example Question #1 : Patterns And Sequences

; , , and are *distinct* integers.

Which of the following *could *be equal to ?

**Possible Answers:**

**Correct answer:**

We need to find ways to factor 28 such that the three factors are different, and then find the sum of those factors in each case.

28 can be expressed as the product of three integers four ways:

I)

II)

III)

IV)

We disregard (I) and (IV) since the factors are not distinct.

We look at (II) and (III):

II: Sum:

III: Sum:

Of the four choices, only 17 is a possible sum; that is the correct choice.

### Example Question #1 : Patterns And Sequences

What property of arithmetic is symbolized below?

If and , then .

**Possible Answers:**

Distributive

Transitive

Reflexive

Associative

**Correct answer:**

Transitive

The symbols express the idea that two numbers equal to the same number are also equal to each other. This is the transitive property of equality.

### Example Question #11 : Patterns And Sequences

What property of arithmetic is symbolized below?

If and , then .

**Possible Answers:**

Inverse

Associative

Transitive

Commutative

**Correct answer:**

Transitive

The symbols express the idea that if a number is greater than a second number, which is greater than a third, then the first number is greater than the third. This is the transitive property of inequality.

### Example Question #12 : Patterns And Sequences

What is the next number in the series?

**Possible Answers:**

**Correct answer:**

The series follows the pattern

.

Plug in the last number given:

### Example Question #11 : Patterns And Sequences

What number comes next in the sequence?

**Possible Answers:**

**Correct answer:**

The numbers can be seen as increasing by four per term since:

This means the term after three is four more than three.

The answer is:

### Example Question #14 : Patterns And Sequences

Give the next number in the sequence:

**Possible Answers:**

**Correct answer:**

Each term of the sequence is found by adding a number to the previous one; the number added is incremented by 2 each time, as seen below:

The next term, which is the missing term, is obtained by adding 12 to 26:

,

the correct choice.

### Example Question #11 : Patterns And Sequences

What is the next number in the following sequence?

**Possible Answers:**

**Correct answer:**

Understanding this sequence takes a quick eye, so to speak. Notice this interesting fact. You can rewrite the sequence as follows:

That is a rather simple sequence if you think of it. The best clue to help you see it will likely be the transition between and . These are the numbers that will most like stand out as a square and a cube. Based on this data, you can reasonably guess that the next number in the sequence is or .