# Quantitative Reasoning

As you review your practice tests, your **tagged questions in each category will be tracked below** for easy review. Keep in mind these are the same questions found in the practice tests, we recommend doing those first.

These are **new practice questions** not found in the practice tests. Use these to master content before progressing to the practice tests.

- Mark Complete 1.0 Introduction to QR Academy
- Mark Complete 1.1 Calculator Tutorial
- Mark Complete 1.2 Variables
- Mark Complete 1.3 Rational and Irrational Numbers
- Mark Complete 1.3 Rational and Irrational Numbers Concept Question
- Mark Complete 1.4 Prime Numbers
- Mark Complete 1.4 Prime Numbers Concept Question
- Mark Complete 1.5 Properties and Operations
- Mark Complete 1.5 Properties and Operations Concept Question
- Mark Complete 1.6 Factors
- Mark Complete 1.6 Factors Concept Question
- Mark Complete 1.7 Scientific Notation
- Mark Complete 1.7 Scientific Notation Concept Question
- Mark Complete 1.8 Absolute Value
- Mark Complete 1.8 Absolute Value Concept Question
- Mark Complete 1.9 Square and Cube Roots 1
- Mark Complete 1.9 Square and Cube Roots 2
- Mark Complete 1.9 Square and Cube Roots Concept Question
- Mark Complete 1.9 Square and Cube Roots Concept Question 2
- Mark Complete 1.10 Adding and Subtracting Fractions
- Mark Complete 1.10 Adding and Subtracting Fractions Concept Question
- Mark Complete 1.11 Multiplying and Dividing Fractions
- Mark Complete 1.11 Multiplying and Dividing Fractions Concept Question
- Mark Complete 1.12 Mixed Fractions
- Mark Complete 1.12 Mixed Fractions Concept Question
- Mark Complete 1.13 Adding Decimals
- Mark Complete 1.13 Adding Decimals Concept Question
- Mark Complete 1.14 Multiplying Decimals
- Mark Complete 1.14 Multiplying Decimals Concept Question
- Mark Complete 1.15 Dividing Decimals
- Mark Complete 1.15 Dividing Decimals Concept Question
- Mark Complete 1.16 Ratios
- Mark Complete 1.16 Ratios Concept Question
- Mark Complete 1.17 Proportions
- Mark Complete 1.17 Proportions Concept Question
- Mark Complete 1.18 Percentages
- Mark Complete 1.18 Percentages Concept Question
- Mark Complete 1.19 Substitution
- Mark Complete 1.19 Substitution Concept Question
- Mark Complete 1.20 Elimination
- Mark Complete 1.20 Elimination Concept Question
- Mark Complete 1.21 System of Equations
- Mark Complete 1.21 System of Equations Concept Question
- Mark Complete 1.22 Inequalities
- Mark Complete 1.22 Inequalities Concept Question
- Mark Complete 1.23 Absolute Value Inequalities
- Mark Complete 1.23 Absolute Value Inequalities Concept Question
- Mark Complete 1.24 Graphing
- Mark Complete 1.24 Graphing Concept Question
- Mark Complete 1.25 Distance Formula
- Mark Complete 1.25 Distance Formula Concept Question
- Mark Complete 1.26 Midpoint Formula
- Mark Complete 1.26 Midpoint Formula Concept Question
- Mark Complete 1.27 Polynomials
- Mark Complete 1.27 Polynomials Concept Question
- Mark Complete 1.28 Quadratic Equations
- Mark Complete 1.28 Quadratic Equations Concept Question
- Mark Complete 1.29 Quadratic Formula
- Mark Complete 1.29 Quadratic Formula Concept Question
- Mark Complete 1.30 Parabola Graphing
- Mark Complete 1.30 Parabola Graphing Concept Question
- Mark Complete 1.31 Discriminant
- Mark Complete 1.31 Discriminant Concept Question
- Mark Complete 1.32 Applying Quadratic Equation Shortcuts
- Mark Complete 1.32 Applying Quadratic Equation Shortcuts Concept Question
- Mark Complete 1.33 Parabola Vertex
- Mark Complete 1.33 Parabola Vertex Concept Question
- Mark Complete 1.34 Graphing Inequalities
- Mark Complete 1.34 Graphing Inequalities Concept Question
- Mark Complete 1.35 Exponent Rules
- Mark Complete 1.35 Exponent Rules Concept Question
- Mark Complete 1.36 Logarithm Rules
- Mark Complete 1.36 Logarithm Rules Concept Question
- Mark Complete 1.37 Exponential Equations
- Mark Complete 1.37 Exponential Equations Concept Question

- Mark Complete 2.1 Combination vs. Permutation
- Mark Complete 2.1 Combination vs. Permutation Concept Question
- Mark Complete 2.2 Combination Formula
- Mark Complete 2.2 Combination Formula Concept Question
- Mark Complete 2.3 Permutation Formula
- Mark Complete 2.3 Permutation Formula Concept Question
- Mark Complete 2.4 Dice Problems
- Mark Complete 2.4 Dice Problems Concept Question
- Mark Complete 2.5 Card Problems
- Mark Complete 2.5 Card Problems Concept Question
- Mark Complete 2.6 Letter Problems
- Mark Complete 2.6 Letter Problems Concept Question
- Mark Complete 2.7 "And" & "Or" Statements
- Mark Complete 2.8 Data Sets
- Mark Complete 2.8 Data Sets Concept Question
- Mark Complete 2.9 Mean
- Mark Complete 2.9 Mean Concept Question
- Mark Complete 2.10 Median
- Mark Complete 2.10 Median Concept Question
- Mark Complete 2.11 Mode
- Mark Complete 2.11 Mode Concept Question
- Mark Complete 2.12 Bar Graphs
- Mark Complete 2.12 Bar Graphs Concept Question
- Mark Complete 2.13 Pie Charts
- Mark Complete 2.13 Pie Charts Concept Question
- Mark Complete 2.14 Box and Whisker Plots
- Mark Complete 2.14 Box and Whisker Plots Concept Question
- Mark Complete 2.15 Standard Deviation
- Mark Complete 2.15 Standard Deviation Concept Question
- Mark Complete 2.16 Normal Distribution
- Mark Complete 2.16 Normal Distribution Concept Question
- Mark Complete 2.17 Z-Scores
- Mark Complete 2.17 Z-Scores Concept Question

- Mark Complete 3.1 Relative Ages
- Mark Complete 3.1 Relative Ages Concept Question
- Mark Complete 3.2 Percent Change
- Mark Complete 3.2 Percent Change Concept Question
- Mark Complete 3.3 Coins
- Mark Complete 3.3 Coins Concept Question
- Mark Complete 3.4 Combined Work
- Mark Complete 3.4 Combined Work Concept Question
- Mark Complete 3.5 Compound Interest
- Mark Complete 3.5 Compound Interest Concept Question
- Mark Complete 3.6 Dilutions
- Mark Complete 3.6 Dilutions Concept Question
- Mark Complete 3.7 Concentration Increase
- Mark Complete 3.7 Concentration Increase Concept Question
- Mark Complete 3.8 Conversions
- Mark Complete 3.8 Conversions Concept Question
- Mark Complete 3.9 Average Speed
- Mark Complete 3.9 Average Speed Concept Question
- Mark Complete 3.10 Perimeter
- Mark Complete 3.10 Perimeter Concept Question
- Mark Complete 3.12 Volume
- Mark Complete 3.12 Volume Concept Question
- Mark Complete 3.13 Pythagorean Theorem
- Mark Complete 3.13 Pythagorean Theorem Concept Question
- Mark Complete 3.14 Circle in a Square
- Mark Complete 3.15 Square in a Circle
- Mark Complete 3.15 Square in a Circle Concept Question
- Mark Complete 3.16 Trigonometry
- Mark Complete 3.16 Trigonometry Concept Question
- Mark Complete 3.17 Special Right Triangles

##### Quantitative Reasoning Formulas Cheat Sheet

Click the following button to download a comprehensive list of definitions to start off your Quantitative Reasoning studies:

- Is There Geometry and Trigonometry on the 2020 DAT?
Short answer: Yes, very basic concepts in geometry and trigonometry can still be tested. Starting in 2017, the ADA changed the QR section to include a new question type called "Quantitative Comparison", previously discussed here. The DAT Bootcamp QR section is completely updated to reflect these changes and prepare you…

- NEW QR Questions for the 2017 DAT
There are new types of questions being asked in the DAT QR section as of this month. These questions fall under the ‘Quantitative Comparison’ scope of the test, and are in line with the ADA’s efforts to make the QR section more about logic and reasoning, instead of simple arithmetic.…

- QR Formulas Cheat Sheet
Here is a comprehensive list of formulas and definitions to start off your Quantitative Reasoning studies. Download Bootcamp QR Formulas Cheat Sheet

- Boost Your QR Score by Correctly Using the "Mark" Feature
There are 40 questions in the quantitative reasoning section of the DAT, all with varying difficulty. You will most likely react to each question in one of three ways: You will laugh at how easy the question is. You will be suspicious that the question seems too easy. You will…

- 2007 DAT Practice Test Math Solutions
The official ADA DAT practice tests are one of the best ways to study for the DAT. The 2007 DAT is available for free online. We took it upon ourselves to provide you with the best solutions to help you get ready for test day. After you go through the…