# Sample Questions

#### Categories

Reading Comprehension

Sentence Skills

Arithmetic Option

Elementary Algebra

College Level Mathematics

#### Reading Comprehension

This test contains 20 questions. Some ask you to decide how two sentences are related. Questions are answered after reading passages of various lengths.

Sample Questions for Reading Comprehension:

Narrative Question:

Read the statement or passage and then choose the best answer to the question. Answer the question on the basis of what is stated or implied in the statement or passage.

1. There are two types of pottery that I do. There is production pottery – mugs, tableware, the kinds of things that sell easily. These pay for my time to do other work, which is more creative and satisfies my needs as an artist.

The author of this passage implies that

1. Artists tend to waste valuable time

2. Creativity and mass-production are incompatible.

3. Most people do not appreciate good art.

4. Pottery is not produced by creative artists.

2. Myths are stories, the products of fertile imagination, sometimes simple, often containing profound truths. They are not meant to be taken too literally. Details may sometimes appear childish, but most myths express a culture’s most serious beliefs about human beings, eternity, and God.

The main idea of this passage is that myths

1. are created primarily to entertain young children.

2. are purposely written for the reader who lacks imagination.

3. provide the reader with a means of escape from reality.

4. illustrate the values that are considered important to a society.

3. In the words of Thomas De Quincey, “It is notorious that the memory strengthens as you lay burdens upon it.” If, like most people, you have trouble recalling names of those you have just met, try this: the next time you are introduced, plan to remember the names. Say to yourself, “I’ll listen carefully; repeat each person’s name to be sure I’ve got it, and I will remember.” You’ll discover how effective this technique is and probably recall those names for the rest of your life.

The main idea of the paragraph maintains that the memory

1. always operates at peak efficiency.

2. breaks down under great strain.

3. improves if it is used often.

4. becomes unreliable if it tires.

4. It is said that a smile is universally understood. And nothing triggers a smile more universally than a taste of sugar. Nearly everyone loves sugar. Infant studies indicate that humans are born with an innate love of sweets. Based on statistics, a lot of people in Great Britain must be smiling, because on average, every man, woman and child in that country consumes ninety-five pounds of sugar each year.

From this passage it seems safe to conclude that the English

1. do not know that too much sugar is unhealthy.

2. eat desserts at every meal.

3. are fond of sweets than most people.

4. have more cavities than any other people.

5. With varying success, many women around the world today struggle for equal rights. Historically, women have achieved greater equality with men during periods of social adversity. Three of the following factors initiated the greatest number of improvements for women: violent revolution, world war, or the rigors of pioneering in an underdeveloped land. In all three cases, the essential element that improved the status of women was a shortage of men, which required women to perform many of society’s vital tasks.

We can conclude from the information in this passage that

1. women today are highly successful in winning equal rights.

2. only pioneer women have been considered equal to men.

3. historically, women have only achieved equality through force.

4. historically, the principle of equality alone has not been enough to secure women equal rights.

6. All water molecules form six-sided structures as they freeze and become snow crystals. The shape of the crystal is determined by temperature, vapor, and wind conditions in the upper atmosphere. Snow crystals are always symmetrical because these conditions affect all six sides simultaneously.

The purpose of the passage is to present

1. a personal observation.

2. a solution to a problem.

3. actual information.

4. opposing scientific theories.

#### Sentence Relationships

7. Two sentences are followed by a question. Read the sentences and choose the best answer. The Midwest is experiencing its worst drought in fifteen years. Corn and soybean prices are expected to be very high this year.

What does the second sentence do?

1. It restates the idea found in the first.

2. It states an effect.

3. It gives an example.

4. It analyzes the statement made in the first.

Two kinds of questions are given in this test. You will be asked to correct a sentence by choosing a word or phrase to substitute for an underlined portion of a sentence. In the other type of question, you will be asked to rewrite a sentence in a specific way without changing the meaning. You will be presented a total of 20 questions.

#### Sentence Correction Question:

Select the best version of the underlined part of the sentence. The first choice is the same as the original sentence. If you think the original sentence is best, choose the first answer.

Ms. Rose planning to teach a course in biology next summer.

1. Planning

2. are planning

3. with a plan

4. plans

Construction Shift Question:

Rewrite the sentence in your head, following the directions given below. Keep in mind that your new sentence should be well written and should have essentially the same meaning as the sentence given you.

Being a female jockey, she was often interviewed.

Rewrite, beginning with

She was often interviewed..

The next words will be

1. on account of she was

2. by her being

3. because she was

4. being as she was

#### Sample Questions for Arithmetic

The Arithmetic test measures your skills in three primary categories:

1. Operations with whole numbers and fractions.

2. Operations with decimals and percents.

3. Applications and problem solving.

The test contains 16 questions.

Sample Questions for Arithmetic:

Solve the following problems and choose your answer from the alternatives given. You may use scratch paper.

1. All of the following are ways to write 20 percent of N, except:

1. 0.20N

2. 2ON/100

3. 1N/5

4. 20N

2. Which of the following is closest to the square root of 10.5?

1. 3

2. 4

3. 5

4. 8

3. Three people who work full time are to work together on a project, but their total time on the project is to be equivalent to that of only one person working full time. If one of the people is budgeted for 1/2 of his time to the project and second person for 1/3 of her time, what part of the third worker’s time should be budgeted to this project?

1. 1/3

2. 1/4

3. 1/6

4. 1/8

4. 7/20 =

1. 0.035

2. 2.858

3. 0.35

4. 3.5

5. 7.86 X 4.6 =

1. 36.156

2. 36.216

3. 351.56

4. 361.56

6. Which of the following is the least?

1. 0.105

2. 0.501

3. 0.015

4. 0.15

7. The average weight for a group of women is 130 pounds. If the average weight for ¾ of these women was 140 pounds, what was the average weight, in pounds, for the rest of the women?

1. 100

2. 110

3. 120

4. 135

8. A soccer team played 160 games and won 65% of them. How many games did they win?

1. 94

2. 104

3. 114

4. 124

9. Number of Company K Employees Involved in Accidents

Plant X Plant Y

Mechanics 11 30

Power Machine Operators 9 12

The table above shows the results of an industrial health survey of 10,000 people employed at Company K for more than 5 years. If 2,500 employees were surveyed in each of the four categories, which group of employees had the highest accident rate?

1. Mechanics in Plant X

2. Mechanics in Plant Y

3. Power Machine Operators in Plant X

4. Power Machine Operators in Plant Y

#### Elementary Algebra

There are three categories in the Elementary Algebra test.

1. Operations with integers and rational numbers.

2. Operations with algebraic expressions.

3. Equation solving, inequalities, and word problems.

The test contains 12 questions.

Sample Questions for Elementary Algebra:

1. If a number is divided by 4, and then 3 is subtracted, the result is 0. What is the number?

1. 12

2. 4

3. 3

2. Factor 16x – 8

1. 8x

2. 8 (2x – x)

3. 8 (2x – 1)

4. 8 (2x – 8)

3. If x2 – x – 6 = 0 then x is:

1. -1 or 3

2. -1 or 6

3. 1 or -6

4. 2 or -3

4. If A represents the number of apples purchased at $.15 each and B represents the number of bananas purchased at $.10 each, which of the following represents the total value of the purchases?

1. A + B

2. 25(A + B)

3. 10A + 15B

4. 15A + 10B

The College-Level mathematics assesses proficiency from intermediate algebra through pre calculus. The categories include:

#### College Level Mathematics

1. Algebraic operations.

2. Solutions of equations and inequalities.

3. Coordinate geometry.

4. Application and other algebra topics.

5. Functions and trigonometry.

Sample Questions for College Level Mathematics:

1. If f(x) = x4-x+2, then f(-x)=

A) x4-x

B) x4+x

C) x4-x+2

D) x4+x+2

2. The equation x2+2ix-4=0 has its roots

3. Mary has 12 more apples than peaches. If she divides each fruit in half, she will have enough to give each of her 32 classmates a piece of fruit. How many peaches does Mary have?

A) 2

B) 3

C) 12

D) 8

4. The SINE of angle “B” is?

A) BC/AC

B) AC/AB

C) AB/BC

D) AB/AC

Reading Comprehension Answers

1. B

2. D

3. C

4. C

5. D

6. C

7. B

Sentence Skills Answers

1. D

2. C

Arithmetic Answers

1. D

2. A

3. C

4. C

5. A

6. C

7. A

8. B

9. B

Elementary Algebra Answers

1. A

2. C

3. A

4. D

College-Level Mathematics Answers

1. D

2. D

3. A

4. B