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Kansas Grade 5 Math
Kansas 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: Standards, Kansas State Department of Education.
Start With a KAP Practice Test
Six full, timed Kansas KAP 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.
KAP Practice Test 1
A full diagnostic across every Kansas Grade 5 math topic.
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KAP Practice Test 2
Fresh questions and problem types to build accuracy.
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KAP Practice Test 3
New problems to add speed and confidence on every skill.
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KAP Practice Test 4
Another complete, timed exam to build pacing and stamina.
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KAP Practice Test 5
A brand-new mixed set to test your readiness.
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KAP Practice Test 6
A final full-length simulation to confirm you are ready.
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Kansas 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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Kansas 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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Kansas KAP Grade 5 Math Snapshot
Kansas Grade 5: connect practice to a classroom target
Use Kansas 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 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 (e.g., convert 5 cm to 0.05 m), and use these conversions in solving multi-step, real world problems
- 5.G.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 andx-coordinate,y-axis andy-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.
Kansas Grade 5 Math Topics
Student-friendly Grade 5 math skills connected to the Kansas standards, each tagged with its KAP 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 Kansas KAP 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.
Kansas KAP Grade 5 Math Made Ridiculously Simple
A step-by-step KAP Grade 5 math book that rebuilds every tested skill clearly and in order, built to match the Kansas standards.
- Best starting point for the KAP math test
- Pairs with Kansas 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 KAP-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 Kansas Grade 5 math book
Kansas KAP Grade 5 Math Made Ridiculously Simple
Start here to rebuild KAP math from the ground up.
Kansas KAP Grade 5 Math Preparation Bundle
The full prep library, study guide, workbook, and practice tests together.
7 Kansas KAP Grade 5 Math Practice Tests
Use after topic review to build pacing and test stamina.
Kansas KAP Grade 5 Math & ELA Mega Bundle
9 books and 44 full-length practice tests in one TPT bundle.
Kansas Grade 5 Math Standards
The official Kansas 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 in numerical expressions and evaluate expressions with these symbols
- 5.OA.2Write simple expressions that record calculations with numbers, and interpret numerical expressions without evaluating them
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.3aRead and write decimals to thousandths using base-ten numerals, number names, expanded form, and unit form (e.g.,expanded form47.392 = 4 · 10 + 7 · 1 + 3 · 1/10 + 9 · 1/100 + 2 · 1/1000;unit form47.392 = 4 tens + 7 ones + 3 tenths + 9 hundredths + 2 thousandths)
- 5.NBT.3bCompare two decimals to thousandths based on meanings of the digits in each place, using >, <, =, and ≠ relational symbols to record the results of comparisons
- 5.NBT.4Use place value understanding to round decimals to any place
- 5.NBT.5Fluently (efficiently, accurately, and flexibly) multiply multi-digit whole numbers using an efficient algorithm (ex., traditional, partial products, etc.) based on place value understanding and the properties of operations
- 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
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 word problems involving addition and subtraction of fractions referring to the same whole, including cases of unlike denominators, (e.g., by 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 word problems involving division of whole numbers leading to answers in the form of fractions or mixed numbers, e.g., by using visual fraction models or equations to represent the problem
- 5.NF.4Apply and extend previous understandings of multiplication (refer to 2.OA.3, 2.OA.4, 3.OA.1, 3.NF.1, 3.NF.2, 4.NF.4) to multiply a fraction or whole number by a fraction
- 5.NF.4aInterpret the producta/b·qasaparts of a partition ofqintobequal parts; equivalently, as the result of a sequence of operationsa·q÷ b
- 5.NF.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.5Interpret multiplication as scaling (resizing), by:
- 5.NF.5aComparing the size of a product to the size of one factor based on the size of the other factor, without performing the indicated multiplication (e.g., They see (1/2 · 3) as half the size of 3.)
- 5.NF.5bExplain why multiplying a given number by a fraction greater than 1 results in a product greater than the given number (recognizing multiplication by whole numbers greater than 1 as a familiar case); explain why multiplying a given number by a fraction less than 1 results in a product smaller than the given number; and relating the principle of fraction equivalencea/b =na/nb to the effect of multiplyinga/b by 1
- 5.NF.6Solve real world problems involving multiplication of fractions and mixed numbers, (e.g., by using visual fraction models or equations to represent the problem)
- 5.NF.7Apply and extend previous understandings of division (3.OA.2, 3.OA.5), to divide unit fractions by whole numbers and whole numbers by unit fractions. Division of a fraction by a fraction is not a requirement at this grade
- 5.NF.7aInterpret division of a unit fraction by a non-zero whole number, and compute such quotients
- 5.NF.7bInterpret division of a whole number by a unit fraction, and compute such quotients
- 5.NF.7cSolve real world problems involving division of unit fractions by non-zero whole numbers and division of whole numbers by unit fractions, e.g., by using visual fraction models and equations to represent the problem
5.MD · Measurement & Data
- 5.MD.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.2Make a data display (line plot, bar graph, pictograph) to show a data set of measurements in fractions of a unit (1/2,1/4,1/8). Use operations (add, subtract, multiply) on fractions for this grade to solve problems involving information presented in the data display
- 5.MD.3Recognize volume as an attribute of solid figures and understand concepts of volume measurement
- 5.MD.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.3bA solid figure which can be packed without gaps or overlaps usingnunit cubes is said to have a volume ofncubic units
- 5.MD.4Measure volumes by counting unit cubes such as cubic cm, cubic in., cubic ft. Or non-standard cubic units
- 5.MD.5Relate volume to the operations of multiplication and addition and solve real world and mathematical problems involving volume
- 5.MD.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 three-dimensional whole-number products as volumes, (e.g., to represent the associative property of multiplication)
- 5.MD.5bApply the formulasV=l·w·handV=B·h(Brepresents the area of the base) for rectangular prisms to find volumes of right rectangular prisms with whole-number edge lengths in the context of solving real world and mathematical problems
- 5.MD.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.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)
- 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 (e.g., plotting the relationship between two positive quantities such as maps, coordinate grid games (such as Battleship), time/temperature, time/distance, cost/quantity, etc.)
- 5.G.3Understand that attributes belonging to a category of two-dimensional figures also belong to all subcategories of that category
- 5.G.4Classify two-dimensional figures in a hierarchy based on properties
Standards: Kansas Mathematics Standards. Official source ↗
Kansas KAP Grade 5 Math FAQ
What is the KAP Grade 5 math test?
The KAP (Kansas Assessment Program) is Kansas'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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- District of Columbia
Make This Your Kansas KAP Starting Point
Take a timed practice test, find your weakest topic, and study it with the linked lessons, worksheets, and the KAP study guide.
Start a practice testA USEFUL NEXT STEP
Kansas 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