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.

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Wisconsin Grade 5 Math

Wisconsin Grade 5 Math: explore grade-level lessons, worksheets, and learning references. Check the curriculum source and choose practice for your next skill.

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Standards source: Academic Standards, Wisconsin Department of Public Instruction.

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Six full, timed Wisconsin Forward Exam 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.

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Wisconsin Grade 5 Math Study Tools

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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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Wisconsin Forward Exam Grade 5 Math Snapshot

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Wisconsin Grade 5: connect practice to a classroom target

Use Wisconsin 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.A.1: Use parentheses, brackets, or braces in numerical expressions, and evaluate expressions with these symbols.
M.5.OA.A.1: Use parentheses, brackets, or braces in numerical expressions, and evaluate expressions with these symbols
5.NBT.A.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.A.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.A.1: Convert among different-sized standard measurement units within a given measurement system (e.g., convert 5 cm to 0.05 m), and use these conversions in solving multi-step, real world problems.
5.G.A.1: Use a pair of perpendicular number lines, called axes, to define a coordinate system, with the intersection of the lines (the origin) arranged to coincide with the 0 on each line and a given point in the plane located by using an ordered pair of numbers, called its coordinates. Understand that the first number indicates how far to travel from the origin in the direction of one axis, and the second number indicates how far to travel in the direction of the second axis, with the convention that the names of the two axes and the coordinates correspond (e.g., x -axis and x -coordinate, y -axis and y -coordinate).

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.

Wisconsin Grade 5 Math Topics

Student-friendly Grade 5 math skills connected to the Wisconsin standards, each tagged with its Forward Exam standard code and a focused lesson.

Forward Exam standard codes

Place Value, Decimals & Whole-Number Operations

Dividing Fractions

Measurement & Line Plots

Wisconsin Grade 5 Math Standards

The official Wisconsin Grade 5 math standards, grouped by domain with the exact code and description for each expectation.

5.OA · Operations & Algebraic Thinking

5.OA.AWrite and interpret numerical expressions
5.OA.A.1Use parentheses, brackets, or braces in numerical expressions, and evaluate expressions with these symbols
5.OA.A.2Write simple expressions that record calculations with numbers, and interpret numerical expressions without evaluating them
5.OA.BAnalyze patterns and relationships
5.OA.B.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.AUnderstand the place value system
5.NBT.A.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.A.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.A.3Read, write, and compare decimals to thousandths
5.NBT.A.3aRead and write decimals to thousandths using base-ten numerals, number names, and expanded form, e.g., 347.392 = 3 × 100 + 4 × 10 + 7 × 1 + 3 x (1/10) + 9 × (1/100) + 2 × (1/1000)
5.NBT.A.3bCompare decimals to thousandths based on meanings of the digits in each place and describe the result of the comparison using words and symbols ( >, =, and < )
5.NBT.A.4Use place value understanding to generate estimates for problems in real-world situations, with decimals, using strategies such as mental math, benchmark numbers, compatible numbers, and rounding. Assess the reasonableness of their estimates (e.g. Is my estimate too low or too high? What degree of precision do I need for this situation?)
5.NBT.BPerform operations with multi-digit whole numbers and with decimals to hundredths
5.NBT.B.5Flexibly and efficiently multiply multi-digit whole numbers using strategies or algorithms based on place value, area models, and the properties of operations
5.NBT.B.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.B.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

5.NF · Number & Operations, Fractions

5.NF.AUse equivalent fractions as a strategy to add and subtract fractions
5.NF.A.1Add and subtract fractions and mixed numbers using flexible and efficient strategies, including renaming fractions with equivalent fractions. Justify using visual models (e.g., tape diagrams or number lines) and equations
5.NF.A.2Solve word problems involving addition and subtraction of fractions referring to the same whole 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.BApply and extend previous understandings of multiplication and division to multiply and divide fractions
5.NF.B.3Interpret a fraction as an equal sharing division situation, where a quantity (the numerator) is divided into equal parts (the denominator). Solve word problems involving division of whole numbers leading to answers in the form of fractions or mixed numbers, by using visual fraction models (e.g., tape diagrams or area models) or equations to represent the problem
5.NF.B.4Apply and extend previous understandings of multiplication to multiply a fraction times a whole number (e.g., 2/3 × 4) or a fraction times a fraction (e.g., 2/3 × 4/5), including mixed numbers
5.NF.B.4aRepresent word problems involving multiplication of fractions using visual models to develop flexible and efficient strategies
5.NF.B.4bFind the area of a rectangle with fractional side lengths by tiling it with unit squares of the appropriate unit fraction side lengths, and show that the area is the same as would be found by multiplying the side lengths. Multiply fractional side lengths to find areas of rectangles, and represent fraction products as rectangular areas
5.NF.B.5Interpret multiplication as scaling (resizing) by estimating whether a product will be larger or smaller than a given factor on the basis of the size of the other factor, without performing the indicated multiplication
5.NF.B.5aExplain why multiplying a given number by a fraction greater than 1 results in a product greater than the given number and explain why multiplying a given number by a fraction less than 1 results in a product smaller than the given number
5.NF.B.5bRelate the principle of fraction equivalence to the effect of multiplying or dividing a fraction by 1 or an equivalent form of 1 (e.g., 3/3, 5/5)
5.NF.B.6Solve real-world problems involving multiplication of fractions and mixed numbers by using visual fraction models (e.g., tape diagrams, area models, or number lines) and equations to represent the problem. Use benchmark fractions and number sense of fractions to estimate mentally and assess the reasonableness of answers
5.NF.B.7Apply and extend previous understandings of division to divide unit fractions by whole numbers (e.g., 1/3 ÷ 4) and whole numbers by unit fractions (e.g., 4 ÷ 1/5). Students able to multiply fractions can develop strategies to divide fractions by reasoning about the relationship between multiplication and division. But division of a fraction by a fraction is not a requirement at this grade
5.NF.B.7aInterpret and represent division of a unit fraction by a non-zero whole number as an equal sharing division situation
5.NF.B.7bInterpret and represent division of a whole number by a unit fraction as a measurement division situation
5.NF.B.7cSolve real-world problems involving division of unit fractions by non-zero whole numbers and division of whole numbers by unit fractions by using visual fraction models and equations to represent the problem

5.MD · Measurement & Data

5.MD.AConvert like measurement units within a given measurement system
5.MD.A.1Convert among different-sized standard measurement units within a given measurement system (e.g., convert 5 cm to 0.05 m), and use these conversions in solving multi-step, real-world problems
5.MD.BRepresent and interpret data
5.MD.B.2Make a line plot to display a data set of measurements in fractions of a unit (1/2, 1/4, 1/8). Use operations on fractions for this grade to solve problems involving information presented in line plots
5.MD.CGeometric measurement: understand concepts of volume and relate volume to multiplication and to addition
5.MD.C.3Recognize volume as an attribute of solid figures and understand concepts of volume measurement
5.MD.C.3aA cube with side length 1 unit, called a "unit cube", is said to have "one cubic unit" of volume, and can be used to measure volume
5.MD.C.3bA solid figure which can be packed without gaps or overlaps using
5.MD.C.4Measure volumes by counting unit cubes, using cubic cm, cubic in., cubic ft., and improvised units
5.MD.C.5Relate volume to the operations of multiplication and addition and solve real-world and mathematical problems involving volume
5.MD.C.5aFind the volume of a right rectangular prism with whole-number side lengths by packing it with unit cubes, and show that the volume is the same as would be found by multiplying the edge lengths, equivalently by multiplying the height by the area of the base. Represent threefold whole-number products as volumes, e.g., to represent the associative property of multiplication
5.MD.C.5bApply the formulas
5.MD.C.5cRecognize volume as additive. Find volumes of solid figures composed of two non-overlapping right rectangular prisms by adding the volumes of the non-overlapping parts, applying this technique to solve real-world problems

5.G · Geometry

5.G.AGraph points on the coordinate plane to solve real-world and mathematical problems
5.G.A.1Use a pair of perpendicular number lines, called axes, to define a coordinate system, with the intersection of the lines (the origin) arranged to coincide with the 0 on each line and a given point in the plane located by using an ordered pair of numbers, called its coordinates. Understand that the first number indicates how far to travel from the origin in the direction of one axis, and the second number indicates how far to travel in the direction of the second axis, with the convention that the names of the two axes and the coordinates correspond (e.g.,
5.G.A.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.BClassify two-dimensional figures into categories based on their properties
5.G.B.3Understand that attributes belonging to a category of two-dimensional figures also belong to all subcategories of that category
5.G.B.4Classify two-dimensional figures in a hierarchy based on properties

M.5

M.5.G.A.1Use a pair of perpendicular number lines, called axes, to define a coordinate system, with the intersection of the lines (the origin) arranged to coincide with the 0 on each line and a given point in the plane located by using an ordered pair of numbers, called its coordinates. Understand that the first number indicates how far to travel from the origin in the direction of one axis, and the second number indicates how far to travel in the direction of the second axis, with the convention that the names of the two axes and the coordinates correspond (e.g.,x-axis andx-coordinate,y-axis andy-coordinate)
M.5.G.A.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
M.5.G.B.3Understand that attributes belonging to a category of two-dimensional figures also belong to all subcategories of that category
M.5.G.B.4Classify two-dimensional figures in a hierarchy based on properties
M.5.MD.A.1Convert among different-sized standard measurement units within a given measurement system (e.g., convert 5 cm to 0.05 m), and use these conversions in solving multi-step, real-world problems
M.5.MD.B.2Make a line plot to display a data set of measurements in fractions of a unit (1/2, 1/4, 1/8). Use operations on fractions for this grade to solve problems involving information presented in line plots
M.5.MD.C.3Recognize volume as an attribute of solid figures and understand concepts of volume measurement
M.5.MD.C.3aA cube with side length 1 unit, called a "unit cube", is said to have "one cubic unit" of volume, and can be used to measure volume
M.5.MD.C.3bA solid figure which can be packed without gaps or overlaps usingnunit cubes is said to have a volume ofncubic units
M.5.MD.C.4Measure volumes by counting unit cubes, using cubic cm, cubic in., cubic ft., and improvised units
M.5.MD.C.5Relate volume to the operations of multiplication and addition and solve real-world and mathematical problems involving volume
M.5.MD.C.5aFind the volume of a right rectangular prism with whole-number side lengths by packing it with unit cubes, and show that the volume is the same as would be found by multiplying the edge lengths, equivalently by multiplying the height by the area of the base. Represent threefold whole-number products as volumes, e.g., to represent the associative property of multiplication
M.5.MD.C.5bApply the formulasV = l × w × handV = B × hfor rectangular prisms to find volumes of right rectangular prisms with whole number edge lengths in the context of solving real-world and mathematical problems
M.5.MD.C.5cRecognize volume as additive. Find volumes of solid figures composed of two non-overlapping right rectangular prisms by adding the volumes of the non-overlapping parts, applying this technique to solve real-world problems
M.5.NBT.A.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
M.5.NBT.A.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
M.5.NBT.A.3Read, write, and compare decimals to thousandths
M.5.NBT.A.3aRead and write decimals to thousandths using base-ten numerals, number names, and expanded form, e.g., 347.392 = 3 × 100 + 4 × 10 + 7 × 1 + 3 x (1/10) + 9 × (1/100) + 2 × (1/1000)
M.5.NBT.A.3bCompare decimals to thousandths based on meanings of the digits in each place and describe the result of the comparison using words and symbols ( >, =, and < )
M.5.NBT.A.4Use place value understanding to generate estimates for problems in real-world situations, with decimals, using strategies such as mental math, benchmark numbers, compatible numbers, and rounding. Assess the reasonableness of their estimates (e.g. Is my estimate too low or too high? What degree of precision do I need for this situation?)
M.5.NBT.B.5Flexibly and efficiently multiply multi-digit whole numbers using strategies or algorithms based on place value, area models, and the properties of operations
M.5.NBT.B.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
M.5.NBT.B.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
M.5.NF.A.1Add and subtract fractions and mixed numbers using flexible and efficient strategies, including renaming fractions with equivalent fractions. Justify using visual models (e.g., tape diagrams or number lines) and equations
M.5.NF.A.2Solve word problems involving addition and subtraction of fractions referring to the same whole 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
M.5.NF.B.3Interpret a fraction as an equal sharing division situation, where a quantity (the numerator) is divided into equal parts (the denominator). Solve word problems involving division of whole numbers leading to answers in the form of fractions or mixed numbers, by using visual fraction models (e.g., tape diagrams or area models) or equations to represent the problem
M.5.NF.B.4Apply and extend previous understandings of multiplication to multiply a fraction times a whole number (e.g., 2/3 × 4) or a fraction times a fraction (e.g., 2/3 × 4/5), including mixed numbers
M.5.NF.B.4aRepresent word problems involving multiplication of fractions using visual models to develop flexible and efficient strategies
M.5.NF.B.4bFind the area of a rectangle with fractional side lengths by tiling it with unit squares of the appropriate unit fraction side lengths, and show that the area is the same as would be found by multiplying the side lengths. Multiply fractional side lengths to find areas of rectangles, and represent fraction products as rectangular areas
M.5.NF.B.5Interpret multiplication as scaling (resizing) by estimating whether a product will be larger or smaller than a given factor on the basis of the size of the other factor, without performing the indicated multiplication
M.5.NF.B.5aExplain why multiplying a given number by a fraction greater than 1 results in a product greater than the given number and explain why multiplying a given number by a fraction less than 1 results in a product smaller than the given number
M.5.NF.B.5bRelate the principle of fraction equivalence to the effect of multiplying or dividing a fraction by 1 or an equivalent form of 1 (e.g., 3/3, 5/5)
M.5.NF.B.6Solve real-world problems involving multiplication of fractions and mixed numbers by using visual fraction models (e.g., tape diagrams, area models, or number lines) and equations to represent the problem. Use benchmark fractions and number sense of fractions to estimate mentally and assess the reasonableness of answers
M.5.NF.B.7Apply and extend previous understandings of division to divide unit fractions by whole numbers (e.g., 1/3 ÷ 4) and whole numbers by unit fractions (e.g., 4 ÷ 1/5). Students able to multiply fractions can develop strategies to divide fractions by reasoning about the relationship between multiplication and division. But division of a fraction by a fraction is not a requirement at this grade
M.5.NF.B.7aInterpret and represent division of a unit fraction by a non-zero whole number as an equal sharing division situation
M.5.NF.B.7bInterpret and represent division of a whole number by a unit fraction as a measurement division situation
M.5.NF.B.7cSolve real-world problems involving division of unit fractions by non-zero whole numbers and division of whole numbers by unit fractions by using visual fraction models and equations to represent the problem
M.5.OA.A.1Use parentheses, brackets, or braces in numerical expressions, and evaluate expressions with these symbols
M.5.OA.A.2Write simple expressions that record calculations with numbers, and interpret numerical expressions without evaluating them
M.5.OA.B.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

Standards: Wisconsin Standards for Mathematics. Official source ↗

Wisconsin Forward Exam Grade 5 Math FAQ

What is the Forward Exam Grade 5 math test?

The Forward Exam (Wisconsin Forward Exam) is Wisconsin'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.

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Take a timed practice test, find your weakest topic, and study it with the linked lessons, worksheets, and the Forward Exam study guide.

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Wisconsin Grade 5 Math

Start With a Forward Exam Practice Test

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Wisconsin Grade 5 Math Study Tools

Grade 5 Math Flashcards

Grade 5 Math Formula Review

Wisconsin Grade 5 Math Skill Quizzes

Expressions & Patterns

Place Value & Decimals

Adding & Subtracting Fractions

Multiplying Fractions

Dividing Fractions

Measurement & Line Plots

Volume

Geometry & the Coordinate Plane

Mixed Grade 5 Review

Wisconsin Forward Exam Grade 5 Math Snapshot

Wisconsin Grade 5: connect practice to a classroom target

Choose practice from the explanation

Wisconsin Grade 5 Math Topics

Operations & Algebraic Thinking

Place Value, Decimals & Whole-Number Operations

Fractions as Numbers (Addition & Subtraction)

Multiplying Fractions

Dividing Fractions

Measurement & Line Plots

Volume

Geometry & The Coordinate Plane

Wisconsin Grade 5 Math Standards

5.OA · Operations & Algebraic Thinking

5.NBT · Number & Operations in Base Ten

5.NF · Number & Operations, Fractions

5.MD · Measurement & Data

5.G · Geometry

M.5

Wisconsin Forward Exam Grade 5 Math FAQ

Grade 5 Math in Other States

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Wisconsin Grade 5 Math: study questions

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