# OAT Quantitative Reasoning Study Guide

For any student wishing to gain admittance into any optometry school, the OAT, or Optometry Admission Test, is a must. This test covers four basic areas that are essential to the industry and your professional success. These tested areas are: Survey of Natural Sciences, Reading Comprehension, Physics, and Quantitative Reasoning.

These are divided into separate sections on the test, each with their own importance. After a successful completion of the test, your results are sent to various optometry schools as part of their acceptance program.

## Who Is Eligible?

Those who wish to apply for the test should have completed at least two years of college. This is recommended as a result of the subjects covered on the test. A good rule of thumb to follow is that you begin the testing application process before you begin to apply to optometry school admission so that you have plenty of time to schedule and take the test.

To apply you must first receive a PIN or personal identification number within the testing system. This can be done at ADA.org/OAT. This PIN will allow you to complete the application, at which time a $435 testing fee will be charged.

## Scheduling

You will be sent an approval notice and appropriate information to schedule your test after your application has been processed. Test are offered in the U.S., its territories (including Guam, Puerto Rico, and the Virgin Islands), and Canada.

After your application is approved and you have been notified of this you will have six months to schedule and take the test. Failure to do so in this time period will result in the forfeiture of your fee and you having to apply again.

For an additional fee, you can reschedule/cancel your test anytime up to the day before your scheduled test. These fees are based on the amount of notice given.

- 1-5 days and at least 24 hours before test $100
- 6-30 days before $60
- 31 or more days before $25

If you fail the test you will have to wait a full 90 days before you can retake it. You will then have to re-apply and pay additional fees. If you do not pass the test three times you will be asked to submit additional information upon your application and retesting may be severely limited.

## What Do I Bring?

It is very important that you arrive to the testing site at least 30 minutes before your scheduled test begins. If you arrive late, you will not be allowed to take the test and your paid fees will be forfeited.

You will need to bring two current forms of ID, one primary and one secondary, with you. A driver’s license, a passport, or a passport card are acceptable primary IDs as long as they have a photo and a signature on them. The secondary IDs need to have your signature on them and can be a debit/credit card or a library card.

There are no personal items allowed in the testing area. If you bring any personal belongings they are required to be kept in a designated locker separate from the testing area. These contents may be inspected. Items that are not allowed are:

- Purses and bags
- Electronic devices
- Food and drinks
- Hats, jackets, and any outerwear
- Watches and jewelry (except for wedding/engagement rings)
- Testing materials such as notebooks, books, or pencils/pens

There is no need to bring a calculator with you, as a basic four-function one will be available for this section of the test.

## OAT Quantitative Reasoning Practice Test

## What Is Covered?

The Quantitative Reasoning portion of the test entails mathematic problems and applied mathematic or word problems. These will test your abilities in the following areas:

**Algebra**- equations and expressions
- inequalities
- exponential notation
- absolute value
- ratios and proportions
- graphical analysis

**Data Analysis, Interpretation, and Sufficiency****Quantitative Comparison****Probability and Statistics**

You will be given 45 minutes to complete the 40 multiple choice questions in this section of the test. The complete test is 120 questions and you are given 4 hours and 50 minutes to finish it.

## When Do I Get My Scores?

The test is digitally scored for you at the testing site upon your completion of it. You will be given a copy of your test results on site, with official copies sent to the schools and recipients listed on your application. If you decide to send your results elsewhere there will be additional fees.

## How Do I Prepare?

Our study guide and flash cards allow you to see just what the Quantitative Reasoning section of the OAT is all about, as well as give you several sample questions that are similar to what the test offers. To make sure you are as prepared as you can be, please check out our study guide and flash cards. They just might make all the difference for your entrance to Optometry school.

## Math Basics

### Lesson 1: Operations Basics

- Addition and Subtraction
- Associative Property
- Distributive Property
- Exponents and Roots
- Integers, Decimals, and Fractions
- Multiplication and Division
- Order of Operations

### Lesson 2: Factors and Multiples

- Greatest Common Factor
- Least Common Multiple
- Multiples
- Multiples and Least Common Multiples
- Prime Numbers, Factoring, and Prime Factorization

### Lesson 3: Unit Conversions

## Fractions

### Lesson 1: Fraction Basics

- Changing Mixed Numbers to Improper Fractions
- Converting Improper Fractions to Mixed Numbers
- Fractions of a Whole
- Improper Fractions and Mixed Numbers
- Ordering Fractions

### Lesson 2: Fraction Operations

- Adding and Subtracting Fractions
- Converting Improper Fractions to Mixed Numbers and Decimals
- Converting Mixed Numbers to Decimals and Improper Fractions
- Converting Percentages to Decimals and Fractions
- Multiplying and Dividing Fractions

## Decimals

### Lesson 1: Decimal Basics

### Lesson 2: Decimal Operations

- Adding and Subtracting Decimals
- Changing a Number from Standard Form to Scientific Notation
- Converting Decimals to Fractions and Percentages
- Converting Decimals to Improper Fractions and Mixed Numbers
- Dividing Decimals
- Multiplying Decimals
- Scientific Notation

## Solving Equations

### Lesson 1: Equation Basics

- Absolute Value
- Arithmetic Sequences and their Formulas
- Solving Equations Using All Four Basic Operations
- Solving Equations Using Addition and Subtraction
- Solving Equations Using Multiplication and Division
- Solving Equations with Absolute Value

### Lesson 2: Inequalities

- Equations and Inequalities
- Graphing Solutions to Linear Inequalities
- Linear Inequalities
- Solving Absolute Value Inequalities
- Solving Inequalities Using All Four Basic Operations

### Lesson 3: Linear System of Equations

- Comparison of Methods for Solving System of Equations
- Linear Equations Basics
- System of Linear Equations
- System of Equations Basics

### Lesson 4: Graphing of Linear Equations and Functions

- Changing Constants in Graphs of Functions: Linear Functions
- Changing Constants in Graphs of Functions: Quadratic Equations
- Graphing Absolute Value Equations
- Graphing Linear Equations
- Graphing the Inverse of a Function
- Graphs of Functions
- Solutions of a Quadratic Equation on a Graph
- Using a Graph

### Lesson 5: Word Problems

- Right Triangle Word Problems
- Word Problems and Addition
- Word Problems and Division
- Word Problems and Multiplication
- Word Problems and Subtraction

## Geometry

### Lesson 1: Angle Basics

### Lesson 2: Triangles

- Area and Perimeter of a Triangle
- Measurements for Similar Triangles
- Measurements for Similar Triangles – Continued
- Proof that a Triangle is 180 Degrees
- Similar Triangles

### Lesson 3: Circles

- Area and Circumference of a Circle
- Finding Measurements for Parts of a Circle
- Unit Circles and Standard Position

### Lesson 4: Volume and Surface Area of 3D Shapes

- 3D Geometric Shapes
- Volume and Surface Area of a Cube
- Volume and Surface Area of a Pyramid
- Volume and Surface Area of a Rectangular Solid
- Volume and Surface Area of a Circular Cone
- Volume and Surface Area of a Circular Cylinder
- Volume and Surface Area of a Sphere