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Virginia Grade 5 Math
Virginia Grade 5 Math: explore grade-level lessons, worksheets, and learning references. Check the curriculum source and choose practice for your next skill.
Focused lessons · Useful practice · Clear next steps
Standards source: K-12 Standards & Instruction, Virginia Department of Education.
Start With a SOL Practice Test
Six full, timed Virginia SOL Grade 5 math practice tests, 40 questions each, instant scoring, a topic-by-topic breakdown, and full step-by-step solutions. Each one opens right here in a popup. Calculator: No calculator.
SOL Practice Test 1
A full diagnostic across every Virginia Grade 5 math topic.
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SOL Practice Test 2
Fresh questions and problem types to build accuracy.
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SOL Practice Test 3
New problems to add speed and confidence on every skill.
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SOL Practice Test 4
Another complete, timed exam to build pacing and stamina.
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SOL Practice Test 5
A brand-new mixed set to test your readiness.
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SOL Practice Test 6
A final full-length simulation to confirm you are ready.
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Virginia Grade 5 Math Study Tools
A few minutes of quick review, flip through flashcards or scan every key formula. Both open right here.
Grade 5 Math Flashcards
Key formulas, vocabulary, and concepts. Flip, shuffle, and track what you know.
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Grade 5 Math Formula Review
Every key Grade 5 idea on one page, order of operations, decimals, fractions, volume, and the coordinate plane.
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Virginia Grade 5 Math Skill Quizzes
Short, focused quizzes, pick one skill, answer 10 questions, get instant scoring and full solutions, then jump to the matching lesson. Each opens right here.
Expressions & Patterns
A quick 10-question check on Expressions & Patterns with instant scoring and step-by-step solutions.
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Place Value & Decimals
A quick 10-question check on Place Value & Decimals with instant scoring and step-by-step solutions.
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Adding & Subtracting Fractions
A quick 10-question check on Adding & Subtracting Fractions with instant scoring and step-by-step solutions.
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Multiplying Fractions
A quick 10-question check on Multiplying Fractions with instant scoring and step-by-step solutions.
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Dividing Fractions
A quick 10-question check on Dividing Fractions with instant scoring and step-by-step solutions.
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Measurement & Line Plots
A quick 10-question check on Measurement & Line Plots with instant scoring and step-by-step solutions.
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Volume
A quick 10-question check on Volume with instant scoring and step-by-step solutions.
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Geometry & the Coordinate Plane
A quick 10-question check on Geometry & the Coordinate Plane with instant scoring and step-by-step solutions.
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Mixed Grade 5 Review
A quick 10-question check on Mixed Grade 5 Review with instant scoring and step-by-step solutions.
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Virginia SOL Grade 5 Math Snapshot
Virginia Grade 5: connect practice to a classroom target
Use Virginia curriculum source to check the expectation your class is studying. The topic directory provides general lessons; it is not a complete state alignment. These selected learning references give you more precise ideas to compare with an assignment. Common Core-style codes are Common Core references, and other codes come from the existing planning reference. Confirm current state wording and placement before treating either as an official local requirement.
- 5.NS.1
- The student will use reasoning and justification to identify and represent equivalency between fractions (with denominators that are thirds, eighths, and factors of 100) and decimals; and compare and order sets of fractions (proper, improper, and/or mixed numbers having denominators of 12 or less) and decimals (through thousandths)
- 5.CE.1
- The student will estimate, represent, solve, and justify solutions to single-step and multistep contextual problems using addition, subtraction, multiplication, and division with whole numbers
- 5.MG.1
- The student will reason mathematically to solve problems, including those in context, that involve length, mass, and liquid volume using metric units
- 5.PS.1
- The student will apply the data cycle (formulate questions; collect or acquire data; organize and represent data; and analyze data and communicate results) with a focus on line plots (dot plots) and stem-and-leaf plots
- 5.PFA.1
- The student will identify, describe, extend, and create increasing and decreasing patterns with whole numbers, fractions, and decimals, including those in context, using various representations
Choose practice from the explanation
Ask the student to explain one of the ideas above with a drawing, model, table, or short calculation. If the explanation is unclear, open the related lesson before assigning a mixed test. If the idea is understood but the calculation is unreliable, choose a focused worksheet and review the strategy afterward.
Keep the classroom target, the resource used, and the next step together in a study note. A topic quiz can guide review; its score is not an official state performance level. Revisit the skill in a new context after a few days.
Virginia Grade 5 Math Topics
Student-friendly Grade 5 math skills connected to the Virginia standards, each tagged with its SOL standard code and a focused lesson.
Operations & Algebraic Thinking
- Using Parentheses, Brackets, and Braces in Numerical ExpressionsWorksheetsQuiz
- Evaluating Numerical ExpressionsWorksheetsQuiz
- Writing Simple Expressions from Verbal StatementsWorksheetsQuiz
- Interpreting Numerical ExpressionsWorksheetsQuiz
- Comparing Expressions Without CalculatingWorksheetsQuiz
- Patterns in the Number of Zeros in ProductsWorksheetsQuiz
- Patterns in Decimal PlacementWorksheetsQuiz
- Using Patterns to Explain Repeated ReasoningWorksheetsQuiz
- Ordered Pairs from Number PatternsWorksheetsQuiz
- Graphing Number Patterns on the Coordinate PlaneWorksheetsQuiz
- Analyzing Relationships Between Two Numerical PatternsWorksheetsQuiz
Place Value, Decimals & Whole-Number Operations
- 5.CEPowers of 10WorksheetsQuiz
- 5.CEUnderstanding Place Value Through the ThousandthsWorksheetsQuiz
- 5.CEReading and Writing DecimalsWorksheetsQuiz
- 5.CEComparing DecimalsWorksheetsQuiz
- 5.CERounding DecimalsWorksheetsQuiz
- 5.CEMultiplying Whole Numbers by Powers of 10WorksheetsQuiz
- 5.CEDividing Whole Numbers by Powers of 10WorksheetsQuiz
- 5.CEMultiplying Decimals by Powers of 10WorksheetsQuiz
- 5.CEDividing Decimals by Powers of 10WorksheetsQuiz
- 5.CEMulti-Digit Whole-Number MultiplicationWorksheetsQuiz
- 5.CEWhole-Number Division with Two-Digit DivisorsWorksheetsQuiz
- 5.CEAdding Decimals to HundredthsWorksheetsQuiz
- 5.CESubtracting Decimals to HundredthsWorksheetsQuiz
- 5.CEMultiplying and Dividing with Decimal ReasoningWorksheetsQuiz
- 5.CESolving Word Problems with Whole Numbers and DecimalsWorksheetsQuiz
Fractions as Numbers (Addition & Subtraction)
- 5.CEUnderstanding Equivalent FractionsWorksheetsQuiz
- 5.CEFinding Common DenominatorsWorksheetsQuiz
- 5.CEAdding Fractions with Unlike DenominatorsWorksheetsQuiz
- 5.CESubtracting Fractions with Unlike DenominatorsWorksheetsQuiz
- 5.CEAdding Mixed NumbersWorksheetsQuiz
- 5.CESubtracting Mixed NumbersWorksheetsQuiz
- 5.CEEstimating Fraction Sums and DifferencesWorksheetsQuiz
- 5.CESolving Word Problems with Fraction Addition and SubtractionWorksheetsQuiz
Multiplying Fractions
- 5.CEMultiplying a Fraction by a Whole NumberWorksheetsQuiz
- 5.CEMultiplying a Fraction by a FractionWorksheetsQuiz
- 5.CEMultiplying Mixed NumbersWorksheetsQuiz
- 5.CEUsing Area Models to Multiply FractionsWorksheetsQuiz
- 5.CEUnderstanding Fraction Products as ScalingWorksheetsQuiz
- 5.CEComparing the Size of ProductsWorksheetsQuiz
- 5.CEReal-World Problems with Fraction MultiplicationWorksheetsQuiz
Dividing Fractions
- 5.CEDividing Unit Fractions by Whole NumbersWorksheetsQuiz
- 5.CEDividing Whole Numbers by Unit FractionsWorksheetsQuiz
- 5.CEUsing Visual Models for Fraction DivisionWorksheetsQuiz
- 5.CEWriting Equations for Fraction DivisionWorksheetsQuiz
- 5.CESolving Real-World Problems with Fraction DivisionWorksheetsQuiz
Measurement & Line Plots
Volume
- 5.MGUnderstanding Volume as an Attribute of Solid FiguresWorksheetsQuiz
- 5.MGUnit Cubes and Counting VolumeWorksheetsQuiz
- 5.MGFinding Volume with MultiplicationWorksheetsQuiz
- 5.MGVolume of Rectangular PrismsWorksheetsQuiz
- 5.MGVolume Formulas \(V = l times w times h\) and \(V = B times h\)WorksheetsQuiz
- 5.MGFinding Missing Dimensions from VolumeWorksheetsQuiz
- 5.MGAdditive Volume of Composite Solid FiguresWorksheetsQuiz
- 5.MGSolving Real-World Problems Involving VolumeWorksheetsQuiz
Geometry & The Coordinate Plane
- 5.MGThe First Quadrant of the Coordinate PlaneWorksheetsQuiz
- 5.MGPlotting Points with Ordered PairsWorksheetsQuiz
- 5.MGInterpreting Points in Real-World and Mathematical ContextsWorksheetsQuiz
- 5.MGUnderstanding Attributes of Two-Dimensional FiguresWorksheetsQuiz
- 5.MGClassifying Quadrilaterals in a HierarchyWorksheetsQuiz
- 5.MGClassifying Triangles by PropertiesWorksheetsQuiz
- 5.MGUsing Venn Diagrams to Classify FiguresWorksheetsQuiz
Best Virginia SOL Grade 5 Math Books
Each book has a job: start from scratch, drill weak skills, or build pacing with full tests. All of them pair with the free tools on this page.
Virginia SOL Grade 5 Math Made Ridiculously Simple
A step-by-step SOL Grade 5 math book that rebuilds every tested skill clearly and in order, built to match the Virginia standards.
- Best starting point for the SOL math test
- Pairs with Virginia flashcards and worksheets
- Use it before full timed practice tests
- Organized for students who need examples before drills
Step-by-step lessons
Short explanations show the move before the student practices it.
✍Worked examples
Examples translate SOL-style wording into clear math steps.
Targeted practice
Rebuild one skill at a time instead of jumping around.
Test-day bridge
After each topic, connect to formulas, flashcards, and practice questions.
How to use it
- Read one lesson and copy the worked example.
- Do a short worksheet set on the same topic.
- Review the matching flashcards or formulas.
- Try a mixed quiz and mark every miss.
Pair it with free tools
Choose the right Virginia Grade 5 math book
Virginia SOL Grade 5 Math Made Ridiculously Simple
Start here to rebuild SOL math from the ground up.
Virginia SOL Grade 5 Math Preparation Bundle
The full prep library, study guide, workbook, and practice tests together.
7 Virginia SOL Grade 5 Math Practice Tests
Use after topic review to build pacing and test stamina.
Virginia SOL Grade 5 Math & ELA Mega Bundle
9 books and 44 full-length practice tests in one TPT bundle.
Virginia Grade 5 Math Standards
The official Virginia Grade 5 math standards, grouped by domain with the exact code and description for each expectation.
5.CE
- 5.CE.1The student will estimate, represent, solve, and justify solutions to single-step and multistep contextual problems using addition, subtraction, multiplication, and division with whole numbers
- 5.CE.2The student will estimate, represent, solve, and justify solutions to single-step and multistep problems, including those in context, using addition and subtraction of fractions with like and unlike denominators (with and without models), and solve single-step contextual problems involving multiplication of a whole number and a proper fraction, with models
- 5.CE.3The student will estimate, represent, solve, and justify solutions to single-step and multistep problems, including those in context, using addition, subtraction, multiplication, and division with decimal numbers
- 5.CE.4The student will simplify numerical expressions with whole numbers using the order of operations
5.MG
- 5.MG.1The student will reason mathematically to solve problems, including those in context, that involve length, mass, and liquid volume using metric units
- 5.MG.2The student will use multiple representations to solve problems, including those in context, involving perimeter, area, and volume
- 5.MG.3The student will classify and measure angles and triangles, and solve problems, including those in context
5.NS
- 5.NS.1The student will use reasoning and justification to identify and represent equivalency between fractions (with denominators that are thirds, eighths, and factors of 100) and decimals; and compare and order sets of fractions (proper, improper, and/or mixed numbers having denominators of 12 or less) and decimals (through thousandths)
- 5.NS.2The student will demonstrate an understanding of prime and composite numbers, and determine the prime factorization of a whole number up to 100
5.PFA
- 5.PFA.1The student will identify, describe, extend, and create increasing and decreasing patterns with whole numbers, fractions, and decimals, including those in context, using various representations
- 5.PFA.2The student will investigate and use variables in contextual problems
5.PS
- 5.PS.1The student will apply the data cycle (formulate questions; collect or acquire data; organize and represent data; and analyze data and communicate results) with a focus on line plots (dot plots) and stem-and-leaf plots
- 5.PS.2The student will solve contextual problems using measures of center and the range
- 5.PS.3The student will determine the probability of an outcome by constructing a model of a sample space and using the Fundamental (Basic) Counting Principle
Standards: Virginia Standards of Learning. Official source ↗
Virginia SOL Grade 5 Math FAQ
What is the SOL Grade 5 math test?
The SOL (Standards of Learning) is Virginia's Grade 5 mathematics assessment. The linked activities are independent Grade 5 practice. Their question count, timer, scoring, and item types may differ from the official assessment. Use the directions inside each activity.
Can I use a calculator?
Calculator rules depend on the grade, assessment, test segment, and approved accommodations. Follow the current assessment guidance and ask your school which rules apply. A tool available in independent practice does not establish permission on the official test.
How long is each practice test?
Read the timer and question count shown in the practice activity you open. These are practice settings, not a statement of the official assessment’s duration or scoring.
Is it free?
The linked general practice and topic resources are available separately from optional books. Check each activity’s directions and access requirements. The study guide and bundle are optional next steps.
Grade 5 Math in Other States
Explore Grade 5 math standards, practice tests, and worksheets for every state.
- Alabama
- Alaska
- Arizona
- Arkansas
- California
- Colorado
- Connecticut
- Delaware
- Florida
- Georgia
- Hawaii
- Idaho
- Illinois
- Indiana
- Iowa
- Kansas
- Kentucky
- Louisiana
- Maine
- Maryland
- Massachusetts
- Michigan
- Minnesota
- Mississippi
- Missouri
- Montana
- Nebraska
- Nevada
- New Hampshire
- New Jersey
- New Mexico
- New York
- North Carolina
- North Dakota
- Ohio
- Oklahoma
- Oregon
- Pennsylvania
- Rhode Island
- South Carolina
- South Dakota
- Tennessee
- Texas
- Utah
- Vermont
- Washington
- West Virginia
- Wisconsin
- Wyoming
- District of Columbia
Make This Your Virginia SOL Starting Point
Take a timed practice test, find your weakest topic, and study it with the linked lessons, worksheets, and the SOL study guide.
Start a practice testA USEFUL NEXT STEP
Virginia Grade 5 Math: study questions
How should I choose a Grade 5 math study target?
Choose a current classroom target, find the matching learning reference, and use a lesson or available practice resource to check understanding. State documents control local wording and placement; shared reference codes are not a certified crosswalk.
Official source ↗Are these activities official state assessments?
These are independently published learning resources. A practice score does not predict or replace an official state score. Use the directions in each activity and consult your school for official testing and accommodation rules.
Resources from Effortless Math · Editorial standards