LEARN · PRACTICE · EXPLORE
Utah Grade 5 Math
Utah 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: Utah Core Standards, Utah State Board of Education.
Start With a RISE Practice Test
Six full, timed Utah RISE 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.
RISE Practice Test 1
A full diagnostic across every Utah Grade 5 math topic.
Start Test 1 →
RISE Practice Test 2
Fresh questions and problem types to build accuracy.
Start Test 2 →
RISE Practice Test 3
New problems to add speed and confidence on every skill.
Start Test 3 →
RISE Practice Test 4
Another complete, timed exam to build pacing and stamina.
Start Test 4 →
RISE Practice Test 5
A brand-new mixed set to test your readiness.
Start Test 5 →
RISE Practice Test 6
A final full-length simulation to confirm you are ready.
Start Test 6 →
Utah 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.
Start Flashcards →
Grade 5 Math Formula Review
Every key Grade 5 idea on one page, order of operations, decimals, fractions, volume, and the coordinate plane.
Review Formulas →
Utah 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.
Start Quiz →
Place Value & Decimals
A quick 10-question check on Place Value & Decimals with instant scoring and step-by-step solutions.
Start Quiz →
Adding & Subtracting Fractions
A quick 10-question check on Adding & Subtracting Fractions with instant scoring and step-by-step solutions.
Start Quiz →
Multiplying Fractions
A quick 10-question check on Multiplying Fractions with instant scoring and step-by-step solutions.
Start Quiz →
Dividing Fractions
A quick 10-question check on Dividing Fractions with instant scoring and step-by-step solutions.
Start Quiz →
Measurement & Line Plots
A quick 10-question check on Measurement & Line Plots with instant scoring and step-by-step solutions.
Start Quiz →
Volume
A quick 10-question check on Volume with instant scoring and step-by-step solutions.
Start Quiz →
Geometry & the Coordinate Plane
A quick 10-question check on Geometry & the Coordinate Plane with instant scoring and step-by-step solutions.
Start Quiz →
Mixed Grade 5 Review
A quick 10-question check on Mixed Grade 5 Review with instant scoring and step-by-step solutions.
Start Quiz →
Utah RISE Grade 5 Math Snapshot
Utah Grade 5: connect practice to a classroom target
Use Utah 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.OA.1
- Use parentheses, brackets, or braces in numerical expressions, and evaluate expressions with these symbols
- 5.NBT.1
- Recognize that in a multi-digit number, a digit in one place represents 10 times as much as it represents in the place to its right and 1/10 of what it represents in the place to its left
- 5.NF.1
- Add and subtract fractions with unlike denominators (including mixed numbers) by replacing given fractions with equivalent fractions in such a way as to produce an equivalent sum or difference of fractions with like denominators
- 5.MD.1
- Convert among different-sized standard measurement units within a given measurement system (for example, convert 5 cm to 0.05 m); use these conversions in solving multi-step, real-world problems
- 5.G.1
- Compose and understand the coordinate plane
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.
Utah Grade 5 Math Topics
Student-friendly Grade 5 math skills connected to the Utah standards, each tagged with its RISE standard code and a focused lesson.
Operations & Algebraic Thinking
- 5.OAUsing Parentheses, Brackets, and Braces in Numerical ExpressionsWorksheetsQuiz
- 5.OAEvaluating Numerical ExpressionsWorksheetsQuiz
- 5.OAWriting Simple Expressions from Verbal StatementsWorksheetsQuiz
- 5.OAInterpreting Numerical ExpressionsWorksheetsQuiz
- 5.OAComparing Expressions Without CalculatingWorksheetsQuiz
- 5.OAPatterns in the Number of Zeros in ProductsWorksheetsQuiz
- 5.OAPatterns in Decimal PlacementWorksheetsQuiz
- 5.OAUsing Patterns to Explain Repeated ReasoningWorksheetsQuiz
- 5.OAOrdered Pairs from Number PatternsWorksheetsQuiz
- 5.OAGraphing Number Patterns on the Coordinate PlaneWorksheetsQuiz
- 5.OAAnalyzing Relationships Between Two Numerical PatternsWorksheetsQuiz
Place Value, Decimals & Whole-Number Operations
- 5.NBTPowers of 10WorksheetsQuiz
- 5.NBTUnderstanding Place Value Through the ThousandthsWorksheetsQuiz
- 5.NBTReading and Writing DecimalsWorksheetsQuiz
- 5.NBTComparing DecimalsWorksheetsQuiz
- 5.NBTRounding DecimalsWorksheetsQuiz
- 5.NBTMultiplying Whole Numbers by Powers of 10WorksheetsQuiz
- 5.NBTDividing Whole Numbers by Powers of 10WorksheetsQuiz
- 5.NBTMultiplying Decimals by Powers of 10WorksheetsQuiz
- 5.NBTDividing Decimals by Powers of 10WorksheetsQuiz
- 5.NBTMulti-Digit Whole-Number MultiplicationWorksheetsQuiz
- 5.NBTWhole-Number Division with Two-Digit DivisorsWorksheetsQuiz
- 5.NBTAdding Decimals to HundredthsWorksheetsQuiz
- 5.NBTSubtracting Decimals to HundredthsWorksheetsQuiz
- 5.NBTMultiplying and Dividing with Decimal ReasoningWorksheetsQuiz
- 5.NBTSolving Word Problems with Whole Numbers and DecimalsWorksheetsQuiz
Fractions as Numbers (Addition & Subtraction)
- 5.NFUnderstanding Equivalent FractionsWorksheetsQuiz
- 5.NFFinding Common DenominatorsWorksheetsQuiz
- 5.NFAdding Fractions with Unlike DenominatorsWorksheetsQuiz
- 5.NFSubtracting Fractions with Unlike DenominatorsWorksheetsQuiz
- 5.NFAdding Mixed NumbersWorksheetsQuiz
- 5.NFSubtracting Mixed NumbersWorksheetsQuiz
- 5.NFEstimating Fraction Sums and DifferencesWorksheetsQuiz
- 5.NFSolving Word Problems with Fraction Addition and SubtractionWorksheetsQuiz
Multiplying Fractions
- 5.NFMultiplying a Fraction by a Whole NumberWorksheetsQuiz
- 5.NFMultiplying a Fraction by a FractionWorksheetsQuiz
- 5.NFMultiplying Mixed NumbersWorksheetsQuiz
- 5.NFUsing Area Models to Multiply FractionsWorksheetsQuiz
- 5.NFUnderstanding Fraction Products as ScalingWorksheetsQuiz
- 5.NFComparing the Size of ProductsWorksheetsQuiz
- 5.NFReal-World Problems with Fraction MultiplicationWorksheetsQuiz
Dividing Fractions
- 5.NFDividing Unit Fractions by Whole NumbersWorksheetsQuiz
- 5.NFDividing Whole Numbers by Unit FractionsWorksheetsQuiz
- 5.NFUsing Visual Models for Fraction DivisionWorksheetsQuiz
- 5.NFWriting Equations for Fraction DivisionWorksheetsQuiz
- 5.NFSolving Real-World Problems with Fraction DivisionWorksheetsQuiz
Measurement & Line Plots
Volume
- 5.MDUnderstanding Volume as an Attribute of Solid FiguresWorksheetsQuiz
- 5.MDUnit Cubes and Counting VolumeWorksheetsQuiz
- 5.MDFinding Volume with MultiplicationWorksheetsQuiz
- 5.MDVolume of Rectangular PrismsWorksheetsQuiz
- 5.MDVolume Formulas \(V = l times w times h\) and \(V = B times h\)WorksheetsQuiz
- 5.MDFinding Missing Dimensions from VolumeWorksheetsQuiz
- 5.MDAdditive Volume of Composite Solid FiguresWorksheetsQuiz
- 5.MDSolving Real-World Problems Involving VolumeWorksheetsQuiz
Geometry & The Coordinate Plane
- 5.GThe First Quadrant of the Coordinate PlaneWorksheetsQuiz
- 5.GPlotting Points with Ordered PairsWorksheetsQuiz
- 5.GInterpreting Points in Real-World and Mathematical ContextsWorksheetsQuiz
- 5.GUnderstanding Attributes of Two-Dimensional FiguresWorksheetsQuiz
- 5.GClassifying Quadrilaterals in a HierarchyWorksheetsQuiz
- 5.GClassifying Triangles by PropertiesWorksheetsQuiz
- 5.GUsing Venn Diagrams to Classify FiguresWorksheetsQuiz
Best Utah RISE 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.
Utah RISE Grade 5 Math Made Ridiculously Simple
A step-by-step RISE Grade 5 math book that rebuilds every tested skill clearly and in order, built to match the Utah standards.
- Best starting point for the RISE math test
- Pairs with Utah 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 RISE-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 Utah Grade 5 math book
Utah RISE Grade 5 Math Made Ridiculously Simple
Start here to rebuild RISE math from the ground up.
Utah RISE Grade 5 Math Preparation Bundle
The full prep library, study guide, workbook, and practice tests together.
7 Utah RISE Grade 5 Math Practice Tests
Use after topic review to build pacing and test stamina.
Utah RISE Grade 5 Math & ELA Mega Bundle
9 books and 44 full-length practice tests in one TPT bundle.
Utah Grade 5 Math Standards
The official Utah Grade 5 math standards, grouped by domain with the exact code and description for each expectation.
5.OA · Operations & Algebraic Thinking
- 5.OA.1Use parentheses, brackets, or braces in numerical expressions, and evaluate expressions with these symbols
- 5.OA.2Write and interpret simple numerical expressions
- 5.OA.3Generate two numerical patterns using two given rules. Identify apparent relationships between corresponding terms. Form ordered pairs consisting of corresponding terms from the two patterns, and graph the ordered pairs on a coordinate plane
5.NBT · Number & Operations in Base Ten
- 5.NBT.1Recognize that in a multi-digit number, a digit in one place represents 10 times as much as it represents in the place to its right and 1/10 of what it represents in the place to its left
- 5.NBT.2Explain patterns in the number of zeros of the product when multiplying a number by powers of 10, and explain patterns in the placement of the decimal point when a decimal is multiplied or divided by a power of 10. Use whole-number exponents to denote powers of 10
- 5.NBT.3Read, write, and compare decimals to thousandths
- 5.NBT.4Use place value understanding to round decimals to any place
- 5.NBT.5Fluently multiply multi-digit whole numbers using the standard algorithm
- 5.NBT.6Find whole-number quotients of whole numbers with up to four-digit dividends and two- digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models
- 5.NBT.7Add, subtract, multiply, and divide decimals to hundredths, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method and explain the reasoning used. In this standard, dividing decimals is limited to a whole number dividend with a decimal divisor or a decimal dividend with a whole number divisor. Compare the value of the quotient on the basis of the values of the dividend and divisor
5.NF · Number & Operations, Fractions
- 5.NF.1Add and subtract fractions with unlike denominators (including mixed numbers) by replacing given fractions with equivalent fractions in such a way as to produce an equivalent sum or difference of fractions with like denominators
- 5.NF.2Solve real-world problems involving addition and subtraction of fractions referring to the same whole, including cases of unlike denominators by, for example, using visual fraction models or equations to represent the problem. Use benchmark fractions and number sense of fractions to estimate mentally and assess the reasonableness of answers
- 5.NF.3Interpret a fraction as division of the numerator by the denominator (a/b = a ÷ b). Solve real-world problems involving division of whole numbers leading to answers in the form of fractions or mixed numbers, through the use of visual fraction models or equations to represent the problem
- 5.NF.4Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fraction
- 5.NF.5Interpret multiplication as scaling
- 5.NF.6Solve real-world problems involving multiplication of fractions and mixed numbers, for example, by using visual fraction models or equations to represent the problem
- 5.NF.7Apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions. Use strategies to divide fractions by reasoning about the relationship between multiplication and division. Division of a fraction by a fraction is not a requirement at this grade
5.MD · Measurement & Data
- 5.MD.1Convert among different-sized standard measurement units within a given measurement system (for example, convert 5 cm to 0.05 m); use these conversions in solving multi-step, real-world problems
- 5.MD.2Make a line plot to display a data set of measurements in fractions of a unit (halves, quarters, eighths). Use operations on fractions for this grade to solve problems involving information presented in line plots
- 5.MD.3Recognize volume as an attribute of solid figures and understand concepts of volume measurement
- 5.MD.4Measure volumes by counting unit cubes, using cubic cm, cubic in., cubic ft., and improvised units
- 5.MD.5Relate volume to the operations of multiplication and addition and solve real-world and mathematical problems involving volume
5.G · Geometry
- 5.G.1Compose and understand the coordinate plane
- 5.G.2Represent real-world and mathematical problems by graphing points in the first quadrant of the coordinate plane, and interpret coordinate values of points in the context of the situation
- 5.G.3Understand that attributes belonging to a category of two-dimensional figures also belong to all subcategories of that category. For example, all rectangles have four right angles and all squares are rectangles, so all squares have four right angles
- 5.G.4Classify two-dimensional figures in a hierarchy based on properties
Standards: Utah Core Standards. Official source ↗
Utah RISE Grade 5 Math FAQ
What is the RISE Grade 5 math test?
The RISE (Readiness Improvement Success Empowerment) is Utah'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
- Vermont
- Virginia
- Washington
- West Virginia
- Wisconsin
- Wyoming
- District of Columbia
Make This Your Utah RISE Starting Point
Take a timed practice test, find your weakest topic, and study it with the linked lessons, worksheets, and the RISE study guide.
Start a practice testA USEFUL NEXT STEP
Utah 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