##### 1. What two numbers should come next in the series 1, 1, 2, 3, 5, 8, 13, …?

- 18, 24
- 20, 28
- 21, 29
- 21, 34

##### 2. What number should be next in the series 108, 104, 98, 90, 80, …?

- 68
- 72
- 76
- 64

##### 3. What number should come next in the series 41, 44, 48, 53, 59, …?

- 64
- 65
- 66
- 67

##### 4. Haley’s dad offered to pay for the team’s pizza party. The cost, including tip, would be $4.05 per person. There were 15 team members at the party. Which of the following is the best estimate of the total bill?

- Less than $30
- Between $30 and $40
- Between $40 and $50
- Between $60 and $70
- More than $70

*Look at the row of numbers below to answer question 5.*

4 8 24 96 ?

##### 5. What number should come next?

- 72
- 120
- 384
- 480

*Look at the row of numbers below to answer question 6.*

27 9 3 1 ?

##### 6. What number should come next?

- 2
- 1/3
- 3
- 1/9

##### 7. Look at the row of numbers below. What number should come next?

1 2 0 1 – 1 0 ?

- -2
- – 1
- 0
- 1

##### 8. Arrange the following numbers in order from the least to greatest: 2^{3}, 4^{2}, 6^{0}, 9, 10^{1}.

- 2
^{3}, 4^{2}, 6^{0}, 9, 10^{1} - 6
^{0}, 9, 10^{1}, 2^{3}, 4^{2} - 10
^{1}, 2^{3}, 6^{0}, 9, 4^{2} - 6
^{0}, 2^{3}, 9, 10^{1}, 4^{2} - 9, 6
^{0}, 10^{1}, 4^{2}, 2^{3}

##### 9. Put the following integers in order from least to greatest:

-52, 16, -12, 14, 8, -5, 0

- -52, 16, -12, 14, 8, -5, 0
- 0, -5, 8, -12, 14, 16, -52
- 0, -5, -12, -52, 8, 14, 16
- -5, -12, -52, 0, 8, 14, 16
- -52, -12, -5, 0, 8, 14, 16

##### 10. In the year 2000, 35% of the company sales were in electronics. The table below shows how electronic sales have changed for the company over the years. Find the percent of electronics sold in 2005.

- 2%
- 11%
- 39%
- 42%
- 47%

##### Answers & Explanations

###### 1. D:

In this series, each number is the sum of the two preceding numbers. For example, 3 = 1 + 2, and 5 = 3 + 2. Therefore, the number following 13 must be 13 + 8 = 21, and the next number must be 21 + 13 = 34.

###### 2. A:

In this series, the number subtracted from the preceding term increases by two for each term: 108 – 4 = 104; 104 – 6 = 98; 98 – 8 = 90; 90 – 10 = 80. For the next term, subtract 12: 80 – 12 = 68. Choice A is correct.

###### 3. C:

In this series, the number added to the preceding term increases by one for each term: 41 + 3 = 44; 44 + 4 = 48; 48 + 5 = 53; 53 + 6 = 59. For the next term, add 7: 59 + 7 = 66. Choice C is correct.

###### 4. D:

To estimate, round $4.05 to an even $4.00, then multiply by the number of people (15). The result is $60.

###### 5. D:

480. The series of numbers is formed by multiplying the previous number by a factor that increases by one each time:: 4*2 = 8, then 8*3 = 24, then 24*4 = 96. So the next operation is to multiply 96 by 5, resulting in 480.

###### 6. B:

1/3. Each number is found by dividing the previous one by three: 27/3 = 9, 9/3 = 3, and 3/3 = 1. The next number in the series is 1/3 = 1/3.

###### 7. A:

– 2. There are two different patterns going on here. First, we add 1, and then we subtract 2.

1 + 1 = 2, then 2 – 2 = 0. Further, 0 + 1 = 1, and 1 – 2 = – 1. Next, -1 + 1 = 0, and so the last thing to do is subtract 2, giving us 0 – 2 = -2.

###### 8. D:

When a number is raised to a power, it is multiplied by itself as many times as the power indicates. For example,2^{3}=2*2*2=8. A number raised to the power of 0 is always equal to 1, so 6^{0} is the smallest number shown. Similarly, for the other numbers:

9=9;10^{1}=10; 4^{2}=4*4=16.

###### 9. E:

Think of the numbers as they would appear on a number line to place them in the correct order.

###### 10. C:

Let *x* equal the percent of electronics sold in 2005.

Then, using the series of percent changes listed in the table, we have:

*x* = 35 + (-2) + (-1) + (+6) + (-1) + (+2)

*x* = (35 + 6 + 2) + (-2 + (-1) + (-1))

*x* = (43) + (-4)

*x* = 39