DAT Quantitative Reasoning Math Worksheets: FREE & Printable

Use the worksheets with a lesson source. If a topic feels rusty, pair the practice with DAT Quantitative Reasoning Preparation. For a fuller review path, use Comprehensive DAT Math Practice Book beside these PDFs.

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DAT Quantitative Reasoning Math Worksheets

The 102 free printable DAT Quantitative Reasoning Math worksheets below are grouped by skill, so you can print exactly what you need without sorting through unrelated practice.

Number Sense and Rational Numbers

Start here for integer operations, fractions, decimals, ordering, and the careful number sense that supports longer test questions.

• Comparing and Ordering Integers
• Integers and Absolute Value
• Adding and Subtracting Integers
• Multiplying and Dividing Integers
• Order of Operations
• Factors Multiples GCF and LCM
• Fractions Decimals and Rational Numbers
• Adding and Subtracting Fractions
• Multiplying Mixed Numbers
• Multiplying and Dividing Fractions
• Adding and Subtracting Decimals
• Multiplying and Dividing Decimals
• Converting Fractions Decimals and Percents
• Real World Problems with Rational Numbers

Ratios, Percents, and Rates

Use these sheets for ratios, proportions, percent change, discounts, interest, unit rates, and measurement conversions.

• Simplifying Ratios
• Unit Rates
• Proportional Ratios
• Constant of Proportionality
• Scale Drawings and Scale Factors
• Converting Units of Measurement
• Percent Problems
• Finding the Whole from a Part and Percent
• Percent of Increase and Decrease
• Discount Tax and Tip
• Simple Interest
• Compound Interest
• Tips Commissions and Fees

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Exponents, Radicals, and Scientific Notation

This section reviews powers, roots, radicals, and scientific notation before algebra and data problems get heavier.

• Multiplication Property of Exponents
• Division Property of Exponents
• Zero and Negative Exponents
• Negative Exponents and Negative Bases
• Radicals
• Rational and Irrational Numbers
• Scientific Notation
• Operations with Scientific Notation

Expressions, Equations, and Inequalities

This is the algebra core: simplifying expressions, solving equations, handling inequalities, and translating words into math.

• When an Expression Is Undefined
• Evaluating One Variable
• Evaluating Two Variables
• Simplifying Variable Expressions
• The Distributive Property
• Introduction to Equations and Solutions
• One Step Equations
• Solving Two Step Equations
• Multi Step Equations
• Equations with Variables on Both Sides
• Literal Equations and Formulas
• One Step Inequalities
• Multi Step Inequalities
• Compound Inequalities
• Graphing Single Variable Inequalities
• Graphing Linear Inequalities

Coordinate Geometry and Lines

These worksheets connect slope, intercepts, graphing, distance, midpoint, systems, and equations of lines on the coordinate plane.

• The Coordinate Plane
• Finding Slope
• Graphing Lines
• Point Slope Form
• Standard Form of a Linear Equation
• Writing Linear Equations
• Parallel and Perpendicular Lines
• Systems of Equations
• Finding Midpoint
• Finding Distance of Two Points

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Functions

Use these PDFs for function notation, tables, domain, range, comparing functions, and reading graphs.

• Relations and Functions
• Function Notation
• Domain and Range
• Linear vs Nonlinear Functions
• Comparing Functions
• Interpreting Graphs of Functions

Polynomials and Quadratics

This section moves through polynomial operations, factoring, quadratics, roots, and graph features.

• Adding and Subtracting Polynomials
• Simplifying Polynomials
• Multiplying Binomials
• Special Products of Polynomials
• Factoring with the Greatest Common Factor
• Factoring Trinomials
• Solving Quadratic Equations by Factoring
• The Quadratic Formula
• Graphing Quadratic Functions
• Rational Expressions

Build a stronger DAT Quantitative Reasoning Math study plan

Worksheets are best for focused skill repair. When you need lessons, examples, and longer review, pair these PDFs with the test-specific resources below.

• DAT Quantitative Reasoning Preparation
• Comprehensive DAT Math Practice Book

Geometry and Measurement

Print these for angles, triangles, circles, area, perimeter, volume, surface area, and formula-based measurement work.

• Complementary and Supplementary Angles
• Parallel Lines and Transversals
• Triangles
• The Pythagorean Theorem
• Similarity and Ratios
• Area of Triangles
• Area and Perimeter of Quadrilaterals
• Polygons
• Circles
• Area and Perimeter of Composite Figures
• Rectangular Prisms
• Cubes
• Cylinder
• Surface Area of Solids
• Volume and Surface Area of Composite Solids

Data, Statistics, and Probability

These topics cover averages, spread, data displays, probability, counting, and careful reading of tables and graphs.

• Mean Median Mode and Range
• Weighted Averages and Missing Data Values
• Box Plots and Interquartile Range
• Histograms and Data Displays
• Pie Graph
• Scatter Plots and Lines of Best Fit
• Two Way Frequency Tables
• Probability Problems
• Probability of Compound Events
• Permutations and Combinations

What Quantitative Reasoning Problems Look Like

Quantitative reasoning questions are usually short word problems. The math is often familiar, but you have to decide what to compute. Here are three examples in the style of the worksheets above.

Example 1: Percent change

A clinic saw 240 patients in May and 300 in June. What was the percent increase? The change is 300 − 240 = 60. Divide by the original: 60 ÷ 240 = 0.25, so the increase is 25%.

Example 2: Rates

A pump fills 18 liters in 4 minutes. How long will 45 liters take? The rate is 18 ÷ 4 = 4.5 liters per minute, and 45 ÷ 4.5 = 10 minutes.

Example 3: Probability

A bag holds 3 red, 5 blue and 2 green marbles. What is the chance of drawing a blue one? There are 10 marbles and 5 are blue, so the probability is 5/10 = 1/2.

If one of these felt slow, open the matching worksheet: Percent of Increase and Decrease, Unit Rates, or Probability Problems.

Frequently Asked Questions

What is on a quantitative reasoning worksheet?

A quantitative reasoning worksheet gives short problems that ask you to turn a situation into math: percents, ratios, rates, equations, geometry, data and probability. For DAT prep, a sheet focused on one skill, such as percent change or probability, lets you fix a weak spot before going back to mixed timed sets that look like the real section.

How should I practice DAT math?

Start with the topics that cost you points, using one-skill worksheets, then move to timed mixed sets. The DAT Quantitative Reasoning section is 40 questions in 45 minutes with a basic on-screen calculator, so practice setting up problems quickly instead of relying on the calculator. Keep an error log and redo every missed problem a few days later.

Are there quantitative reasoning questions and answers in PDF form?

Yes. Each DAT Quantitative Reasoning worksheet here is a printable PDF with its own answer key, so you can work on paper and check right away. When you miss a question, compare your setup with the key, not only the final number. Most DAT errors come from misreading the question or choosing the wrong operation.

What is arithmetic reasoning?

Arithmetic reasoning means solving word problems with everyday math such as fractions, decimals, percents, ratios and rates. For example, if a dental lab makes 18 crowns in 4 hours, at the same rate it makes 18 ÷ 4 × 10 = 45 crowns in 10 hours. These skills form the base of the DAT Quantitative Reasoning section.

How do I practice numerical data questions?

Work with tables, bar graphs and lists of numbers, and practice finding the mean, median, mode, range and percent change. For instance, the data set 4, 7, 7, 10, 12 has a mean of 40 ÷ 5 = 8 and a median of 7. On the DAT, read axis labels and units carefully before calculating anything.