SIFT Math: Free Practice Test, Lessons & Worksheets: a free, printable set covering the topics you will see on the test, with answer keys included, so you can practice each topic one skill at a time and check your own work before test day.
Exam math online center
SIFT Math Online Center
This SIFT Math Online Center brings together practice, lessons, worksheets and flashcards. Choose the resource that matches the skill you want to work on next.
Jump into SIFT Math
Free SIFT Math Formula Sheet PDF
Open the complete SIFT Math formula guide, review the pages online, then print or save the PDF when you are ready.
Complete ReviewStudy the key formulas in one focused guide.›
Page-by-Page ReviewMove through the formulas at your own pace.›
Online StudyKeep the guide open while you practice problems.›
Print When ReadyUse the print option after you finish reviewing.›
Download for LaterSave the PDF when you want an offline copy.›
Active recall • SIFT Math
SIFT Math Vocabulary Flashcards
32 focused quantitative cards with numbered progress, colorful fronts, unique hints, search, and shuffle.
Based on the U.S. Army’s published SIFT description, which identifies mathematical skills and aptitude as a tested area. These original math-language cards support foundational study with aviation-context examples; they are not an official glossary or predicted test items.
SIFT Math Skill Quizzes
Short, focused quizzes, pick one skill, answer 10 questions, get instant scoring and full step-by-step solutions. Each opens right here in a popup.
Number Sense & Rational Numbers
Integers, number lines, rational numbers, and absolute value.
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Fractions & Decimals
The fraction and decimal arithmetic that appears everywhere on the test.
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Ratios & Proportional Reasoning
Unit rates, proportions, and real-world comparisons.
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Percents & Financial Math
Percent change, discounts, interest, and money math.
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Equations & Inequalities
Linear equations in one variable, inequalities, and word problems.
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Linear Functions & Graphs
Slope, intercepts, and writing the equation of a line.
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Exponents & Polynomials
Exponent rules and polynomial operations.
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Geometry & Measurement
Area, volume, angles, circles, and coordinate geometry.
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Statistics & Data
Charts, centers, variability, scatter plots, and data reasoning.
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Mixed Math Review
A mixed quiz for a quick readiness check across major skills.
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SIFT Math Topics: Learn, Practice, and Quiz
Choose a topic, open its worksheet for printable practice, then take a short quiz from the same row.
85 topics · worksheets · quizzes
Number Sense and Rational Numbers
- Comparing and Ordering Integers WorksheetQuiz
- Integers and Absolute Value WorksheetQuiz
- Adding and Subtracting Integers WorksheetQuiz
- Multiplying and Dividing Integers WorksheetQuiz
- Factors Multiples GCF and LCM WorksheetQuiz
- Adding and Subtracting Fractions WorksheetQuiz
- Multiplying Mixed Numbers WorksheetQuiz
- Multiplying and Dividing Fractions WorksheetQuiz
- Adding and Subtracting Decimals WorksheetQuiz
- Multiplying and Dividing Decimals WorksheetQuiz
- Converting Fractions Decimals and Percents WorksheetQuiz
- Real World Problems with Rational Numbers WorksheetQuiz
Ratios, Percents, and Rates
- Simplifying Ratios WorksheetQuiz
- Unit Rates WorksheetQuiz
- Proportional Ratios WorksheetQuiz
- Constant of Proportionality WorksheetQuiz
- Scale Drawings and Scale Factors WorksheetQuiz
- Converting Units of Measurement WorksheetQuiz
- Percent Problems WorksheetQuiz
- Finding the Whole from a Part and Percent WorksheetQuiz
- Percent of Increase and Decrease WorksheetQuiz
- Discount Tax and Tip WorksheetQuiz
- Simple Interest WorksheetQuiz
- Compound Interest WorksheetQuiz
- Tips Commissions and Fees WorksheetQuiz
Exponents, Radicals, and Scientific Notation
- Multiplication Property of Exponents WorksheetQuiz
- Division Property of Exponents WorksheetQuiz
- Zero and Negative Exponents WorksheetQuiz
- Negative Exponents and Negative Bases WorksheetQuiz
- Radicals WorksheetQuiz
- Rational and Irrational Numbers WorksheetQuiz
- Scientific Notation WorksheetQuiz
- Operations with Scientific Notation WorksheetQuiz
Expressions, Equations, and Inequalities
- When an Expression Is Undefined WorksheetQuiz
- Evaluating One Variable WorksheetQuiz
- Evaluating Two Variables WorksheetQuiz
- Simplifying Variable Expressions WorksheetQuiz
- The Distributive Property WorksheetQuiz
- One Step Equations WorksheetQuiz
- Solving Two Step Equations WorksheetQuiz
- Multi Step Equations WorksheetQuiz
- Equations with Variables on Both Sides WorksheetQuiz
- Literal Equations and Formulas WorksheetQuiz
- One Step Inequalities WorksheetQuiz
- Multi Step Inequalities WorksheetQuiz
- Compound Inequalities WorksheetQuiz
- Graphing Linear Inequalities WorksheetQuiz
Coordinate Geometry and Lines
- The Coordinate Plane WorksheetQuiz
- Finding Slope WorksheetQuiz
- Graphing Lines WorksheetQuiz
- Point Slope Form WorksheetQuiz
- Standard Form of a Linear Equation WorksheetQuiz
- Writing Linear Equations WorksheetQuiz
- Parallel and Perpendicular Lines WorksheetQuiz
- Systems of Equations WorksheetQuiz
- Finding Midpoint WorksheetQuiz
- Finding Distance of Two Points WorksheetQuiz
Polynomials and Quadratics
- Adding and Subtracting Polynomials WorksheetQuiz
- Simplifying Polynomials WorksheetQuiz
- Multiplying Binomials WorksheetQuiz
- Special Products of Polynomials WorksheetQuiz
- Factoring with the Greatest Common Factor WorksheetQuiz
- Factoring Trinomials WorksheetQuiz
- Solving Quadratic Equations by Factoring WorksheetQuiz
Geometry and Measurement
- Complementary and Supplementary Angles WorksheetQuiz
- Parallel Lines and Transversals WorksheetQuiz
- Triangles WorksheetQuiz
- Similarity and Ratios WorksheetQuiz
- Area of Triangles WorksheetQuiz
- Area and Perimeter of Quadrilaterals WorksheetQuiz
- Polygons WorksheetQuiz
- Circles WorksheetQuiz
- Area and Perimeter of Composite Figures WorksheetQuiz
- Rectangular Prisms WorksheetQuiz
- Cubes WorksheetQuiz
- Cylinder WorksheetQuiz
- Surface Area of Solids WorksheetQuiz
- Volume and Surface Area of Composite Solids WorksheetQuiz
Data, Statistics, and Probability
- Weighted Averages and Missing Data Values WorksheetQuiz
- Box Plots and Interquartile Range WorksheetQuiz
- Histograms and Data Displays WorksheetQuiz
- Scatter Plots and Lines of Best Fit WorksheetQuiz
- Two Way Frequency Tables WorksheetQuiz
- Probability Problems WorksheetQuiz
- Probability of Compound Events WorksheetQuiz
Join students who study with a clearer path
This test prep online center is part of the Effortless Math library for SIFT Math. We connect lessons, worksheets, practice tests, books, and tools so students can study with a clearer next step.

This is an independent Effortless Math SIFT Math preparation online center. Official exam, standards, or curriculum owners do not endorse this page.
Start With A Practice Test
Begin with SIFT Math practice step, use the result to find weak skills, then review the matching lesson, worksheet, or flashcards before trying again.
Take a diagnostic first
Start with mixed practice. Mark every missed question by topic instead of only looking at the score.
Know what is tested
Use the outline or official structure to see which skills matter most before adding more study time.
Fix one weak skill
Choose one target, such as Arithmetic, and practice it before returning to a full mixed set.
Move into lessons or books
After the first test, use lessons, flashcards, worksheets, or the recommended book path for structure.
SIFT Math Snapshot
Take a short practice set and mark every miss by topic.
Review one weak skill, practice it, then return to mixed questions.
Choose a step-by-step study guide if you need help with the basics; use workbooks or practice-test books for additional review.
SIFT Math Skills Worth Reviewing
This section gives students a practical way to decide what to fix next when a full practice set feels overwhelming.
Arithmetic
If vocabulary, setup, or calculation makes this skill difficult, work through a short focused set before moving on.
Fractions
If vocabulary, setup, or calculation makes this skill difficult, work through a short focused set before moving on.
Algebra
If vocabulary, setup, or calculation makes this skill difficult, work through a short focused set before moving on.
Geometry
If vocabulary, setup, or calculation makes this skill difficult, work through a short focused set before moving on.
Data
If vocabulary, setup, or calculation makes this skill difficult, work through a short focused set before moving on.
Choose Your SIFT Math Prep Tool
Different students need different entry points. This toolbox gives SIFT Math review, practice, strategy, and next-step resources a clear place on the page.
SIFT Math Course
Use the full SIFT Math course when students need lessons before practice.
Free SIFT Math Practice Test
Start with a timed practice set or mixed review to find weak areas.
SIFT Math Study Guide
Use the recommended study guide path when students need structure and printed practice.
SIFT Math Practice Plan
Turn missed questions into a small weekly review loop.
SIFT Math Practice Paths
Practice is most useful when students know which stack to pick. These paths turn the resource library into a clear sequence.
Foundations Path
Use this path when a student is just getting oriented with SIFT Math.
- Arithmetic
- Fractions
Core Skills Path
Use this path for the skills that usually decide SIFT Math confidence.
- Algebra
- Geometry
Mixed Practice Path
Use this path when the student is ready to connect skills in mixed practice.
- Data
- Pacing
Free Resources And Printables
Put the most useful SIFT Math resources one click away: guides, practice pages, worksheets, and review tools.
SIFT Math Course
Use the full SIFT Math course when students need lessons before practice.
Free SIFT Math Practice Test
Start with a timed practice set or mixed review to find weak areas.
SIFT Math Study Guide
Use the recommended study guide path when students need structure and printed practice.
SIFT Math Practice Plan
Turn missed questions into a small weekly review loop.
Official Snapshot
Best first step
Take a short practice set and mark every miss by topic.
Study sequence
Review one weak skill, practice it, then return to mixed questions.
Book path
Choose a step-by-step study guide if you need help with the basics; use workbooks or practice-test books for additional review.
SIFT Math Skill Map
Use this as the online center checklist. Choose a skill that needs work, practice it, then return for the next topic.
- Arithmetic, number sense, and operations
- Fractions, decimals, percents, ratios, and rates
- Algebra, equations, inequalities, and word problems
- Geometry, measurement, area, volume, and coordinate geometry
- Data, statistics, probability, and graphs
- Pacing, answer choice strategy, and test-day confidence
Free Practice And Guides
These links keep each online center connected to existing Effortless Math articles, topic pages, worksheets, and flashcards.
SIFT Math Course
Use the full SIFT Math course when students need lessons before practice.
Free SIFT Math Practice Test
Start with a timed practice set or mixed review to find weak areas.
SIFT Math Study Guide
Use the recommended study guide path when students need structure and printed practice.
SIFT Math Practice Plan
Turn missed questions into a small weekly review loop.
SIFT Math for Beginners 2024: The Ultimate Step by Step Guide to Preparing for the SIFT Math Test
Begin with structured lessons and worked examples, then move into focused and timed practice.
- Best first book for students who need structure
- Step-by-step lessons before mixed practice
- Pairs naturally with the free guides and topic lessons on this online center
- A clear sequence from foundational lessons to mixed practice
Start from the basics
The book rebuilds the topic sequence before asking students to move into timed practice.
Use worked examples
Students can see the move, copy the method, then try similar problems on their own.
Drill one skill at a time
The structure supports focused practice instead of scattered review.
Move into confidence practice
After the book path, the online center connects students to worksheets, flashcards, and test-style questions.
How to use it
- Read one short lesson.
- Copy the worked example.
- Practice the matching skill from this online center.
- Return to mixed or timed practice after the skill feels stable.
Pair it with free tools
Choose The Right SIFT Math Book
Start with the For Beginners or best first study guide, then use workbooks, full tests, and bundles for extra practice.
SIFT Math for Beginners 2024: The Ultimate Step by Step Guide to Preparing for the SIFT Math Test
Recommended practice resource
The Most Comprehensive SIFT Math Preparation Bundle: Includes SIFT Math Prep Books, Workbooks, and Practice Tests
Recommended practice resource
Prepare for the SIFT Math Test in 7 Days: A Quick Study Guide with Two Full-Length SIFT Math Practice Tests
Recommended practice resource
SIFT Math Study Guide 2020 - 2021: A Comprehensive Review and Step-By-Step Guide to Preparing for the SIFT Math
Recommended practice resource
SIFT Math Comprehensive Prep Bundle: Everything You Need to Ace the SIFT Math Test
Recommended practice resource
SIFT Math in 10 Days: The Most Effective SIFT Math Crash Course
Recommended practice resource
SIFT Math Study Roadmap
Use this roadmap to move from a first practice set to focused review and mixed practice.
Set the baseline
Open the main SIFT Math starter resource and mark the skills that feel slow or uncertain.
Practice one skill family
Choose one topic cluster from the skill map and work it until the steps feel predictable.
Add mixed review
Move from isolated questions into mixed practice so the student learns when to use each strategy.
Use test-mode practice
Finish with timed or cumulative practice, then turn every miss into the next review target.
SIFT Math FAQ
What should I practice first for SIFT Math?
Start with Arithmetic, number sense, and operations. Then use a short mixed practice set to see which skill should come next.
How should I use this SIFT Math Online Center?
Begin with the main starting resource, choose one weak skill from the map, practice it, then return to the online center for the next topic or a timed review.
Are there free resources on this page?
Yes. The online center links to free Effortless Math resources such as SIFT Math Course, Free SIFT Math Practice Test, SIFT Math Study Guide.
Which SIFT Math skills matter most?
The highest-value areas include Arithmetic, number sense, and operations; Fractions, decimals, percents, ratios, and rates; Algebra, equations, inequalities, and word problems. Use the skill map as a checklist rather than trying to study everything at once.
When should I use a book or workbook?
Use a book when the student needs a structured sequence, repeated practice, or a printed path that is easier to follow than scattered online links.
Related Online Centers
Make This Your SIFT Math Starting Point
Bookmark this online center, choose one weak area, and use the linked practice pages and books to move from scattered review to a clear study path.
A USEFUL NEXT STEP
SIFT Math: study questions
What can I study in this SIFT Math Online Center?
This SIFT Math Online Center includes practice, lessons, worksheets and flashcards. Topics on the page include Ready to print or save?, Number Sense & Rational Numbers, Fractions & Decimals.
How should I use the SIFT Math resources?
Choose a topic or practice activity from this Online Center. Review the linked explanation, try the practice, and use the result to decide what to study next. Check each resource’s directions for its format and access requirements.
Resources from Effortless Math · Editorial standards