How should I choose a Grade 6 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.

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.

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Maine Grade 6 Math

Maine Grade 6 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: Content Standards, Maine Department of Education.

Start With a TYA Practice Test

Six full, timed Maine TYA Grade 6 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: Scientific calculator (on part).

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A full diagnostic across every Maine Grade 6 math topic.

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Maine Grade 6 Math Study Tools

A few minutes of quick review, flip through flashcards or scan every key formula. Both open right here.

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Grade 6 Math Flashcards

Key formulas, vocabulary, and concepts. Flip, shuffle, and track what you know.

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FORMULA REVIEW1 page

Grade 6 Math Formula Review

Every key Grade 6 formula on one page, ratios, percents, geometry, statistics, and more.

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A quick 10-question check on Mixed Grade 6 Review with instant scoring and step-by-step solutions.

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Maine TYA Grade 6 Math Snapshot

TYAMaine Through Year Assessment

6full practice tests

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Maine Grade 6: connect practice to a classroom target

Use Maine 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.

6.RP.A.1: Understand the concept of a ratio and use ratio language to describe a ratio relationship between two quantities.
6.NS.B.3: Fluently add, subtract, multiply, and divide multi-digit decimals using the standard algorithm for each operation.
6.EE.A.1: Write and evaluate numerical expressions involving whole-number exponents.
6.G.A.1: Find the area of right triangles, other triangles, special quadrilaterals, and polygons by composing into rectangles or decomposing into triangles and other shapes; apply these techniques in the context of solving real-world and mathematical problems.
6.SP.A.1: Recognize a statistical question as one that anticipates variability in the data related to the question and accounts for it in the answers.

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.

Maine Grade 6 Math Topics

Student-friendly Grade 6 math skills connected to the Maine standards, each tagged with its TYA standard code and a focused lesson.

TYA standard codes

The Number System, Decimals

6.NS.B.3Decimal Place Value Worksheets Quiz
6.NS.C.7Comparing and Ordering Decimals Worksheets Quiz
6.NS.B.3Adding and Subtracting Decimals Worksheets Quiz
6.NS.B.3Multiplying Decimals Worksheets Quiz
6.NS.B.4Dividing Decimals by Whole Numbers Worksheets Quiz
6.NS.B.3Dividing Decimals by Decimals Worksheets Quiz
6.NS.A.1Converting Fractions to Decimals Worksheets Quiz
6.NS.A.1Converting Decimals to Fractions (resource currently unavailable)Worksheets Quiz

The Number System, Integers And The Coordinate Plane

The Number System, Factors And Multiples

Ratios And Percents

Geometry, Area

Geometry, 3D Figures, Surface Area, And Volume

Maine Grade 6 Math Standards

The official Maine Grade 6 math standards, grouped by domain with the exact code and description for each expectation.

6.QR

6.QR.EA.1Understand ratio and rate concepts and use ratio and rate reasoning to solve problems
6.QR.EA.3Apply and extend previous understandings of operations with whole numbers to rational numbers
6.QR.EA.4Compute fluently with multi-digit whole numbers and find common factors and multiples
6.QR.EA.5Apply and extend previous understandings of numbers to the system of rational numbers

6.RP · Ratios & Proportional Relationships

6.RP.A.1Understand the concept of a ratio and use ratio language to describe a ratio relationship between two quantities. For example, "The ratio of wings to beaks of the chickadees in the pine tree was 2:1, because for every 2 wings there was 1 beak." "For every vote candidate A received, candidate C received nearly three votes."
6.RP.A.2Understand the concept of a unit ratea/bassociated with a ratioa:bwithb≠ 0 and use rate language in the context of a ratio relationship. For example, "This recipe has a ratio of 3 cups of flour to 4 cups of sugar, so there is 3/4 cup of flour for each cup of sugar." "We paid $75 for 5 lobsters, which is a rate of $15 per lobster." Expectations for unit rates in this grade are limited to non-complex fractions
6.RP.A.3Use ratio and rate reasoning to solve real-world and mathematical problems, e.g., by reasoning about tables of equivalent ratios, tape diagrams, double number line diagrams, or equations
6.RP.A.3aMake tables of equivalent ratios relating quantities with whole-number measurements, find missing values in the tables, and plot the pairs of values on the coordinate plane. Use tables to compare ratios
6.RP.A.3bSolve unit rate problems including those involving unit pricing and constant speed. For example, if it took 7 hours to mow 4 lawns, then at that rate, how many lawns could be mowed in 35 hours? At what rate were lawns being mowed?
6.RP.A.3cFind a percent of a quantity as a rate per 100 (e.g., 30% of a quantity means 30/100 times the quantity); solve problems involving finding the whole, given a part and the percent
6.RP.A.3dUse ratio reasoning to convert measurement units; manipulate and transform units appropriately when multiplying or dividing quantities

6.NS · The Number System

6.NS.A.1Interpret and compute quotients of fractions, and solve word problems involving division of fractions by fractions, e.g., by using visual fraction models and/or equations to represent the problem. For example, create a story context for (2/3) ÷ (3/4) and use a visual fraction model to show the quotient; use the relationship between multiplication and division to explain that (2/3) ÷ (3/4) = 8/9 because 3/4 of 8/9 is 2/3. (In general, (a/b) ÷ (c/d) = ad/bc.)
6.NS.B.3Fluently add, subtract, multiply, and divide multi-digit decimals using the standard algorithm for each operation
6.NS.B.2Fluently divide multi-digit numbers using the standard algorithm
6.NS.B.4Find the greatest common factor of two whole numbers less than or equal to 100 and the least common multiple of two whole numbers less than or equal to 12. (For example: Use prime factorization to find the greatest common factor); Use the distributive property to express a sum of two whole numbers 1-100 with a common factor as a multiple of a sum of two relatively prime numbers. For example, express 36 + 8 as 4 (9 + 2)
6.NS.C.5Understand that positive and negative numbers are used together to describe quantities having opposite directions or values (e.g., temperature above/below zero, elevation above/below sea level, credits/debits, positive/negative electric charge); use positive and negative rational numbers to represent quantities in real-world contexts, explaining the meaning of 0 in each situation
6.NS.C.6Understand a rational number as a point on the number line. Extend number line diagrams and coordinate axes familiar from previous grades to represent points on the line and in the plane with negative number coordinates
6.NS.C.6aRecognize opposite signs of numbers as indicating locations on opposite sides of 0 on the number line; recognize that the opposite of the opposite of a number is the number itself, e.g., -(-3) = 3, and that 0 is its own opposite
6.NS.C.6bUnderstand signs of numbers in ordered pairs as indicating locations in quadrants of the coordinate plane; recognize that when two ordered pairs differ only by signs, the locations of the points are related by reflections across one or both axes
6.NS.C.6cFind and position integers and other rational numbers on a horizontal or vertical number line diagram; find and position pairs of integers and other rational numbers on a coordinate plane
6.NS.C.7Understand ordering and absolute value of rational numbers
6.NS.C.7aInterpret statements of inequality as statements about the relative position of two numbers on a number line diagram. For example, interpret -3 > -7 as a statement that -3 is located to the right of -7 on a number line oriented from left to right
6.NS.C.7bWrite, interpret, and explain statements of order for rational numbers in real-world contexts. For example, write -3° C > -7° C to express the fact that -3° C is warmer than -7° C
6.NS.C.7cUnderstand the absolute value of a rational number as its distance from 0 on the number line; interpret absolute value as magnitude for a positive or negative quantity in a real-world situation. For example, for an account balance of -30 dollars, write |-30| = 30 to describe the size of the debt in dollars
6.NS.C.7dDistinguish comparisons of absolute value from statements about order. For example, recognize that an account balance less than -30 dollars represents a debt greater than 30 dollars
6.NS.C.8Solve real-world and mathematical problems by graphing points in all four quadrants of the coordinate plane. Include use of coordinates and absolute value to find distances between points with the same first coordinate or the same second coordinate

6.AR

6.AR.EA.1Apply and extend previous understandings of arithmetic to algebraic expressions
6.AR.EA.2Reason about and solve one-variable equations and inequalities
6.AR.EA.3Represent and analyze quantitative relationships between dependent and independent variables

6.EE · Expressions & Equations

6.EE.A.1Write and evaluate numerical expressions involving whole-number exponents
6.EE.A.2Write, read, and evaluate expressions in which letters represent numbers
6.EE.A.2aWrite expressions that record operations with numbers and with letters representing numbers. For example, express the calculation "Subtract y from 5" as 5, y
6.EE.A.2bIdentify parts of an expression using mathematical terms (including but not limited to: sum, term, product, factor, quotient, coefficient, variable, constant); view one or more parts of an expression as a single entity. For example, describe the expression 2 (x + 7) as a product of two factors; view (x + 7) as both a single entity and a sum of two terms
6.EE.A.2cEvaluate expressions at specific values of their variables. Include expressions that arise from formulas used in real-world problems. Perform arithmetic operations, including those involving wholenumber exponents, using the order of operations. For example, use the formulas V = s³ and A = 6 s² to find the volume and surface area of a cube with sides of length s = 1/2
6.EE.A.3Apply the properties of operations to generate equivalent expressions. For example, apply the distributive property to the expression 3 (2 + x) to produce the equivalent expression 6 + 3x; apply the distributive property to factor the expression 24x + 18y to produce the equivalent expression 6 (4x + 3y); apply properties of operations to y + y + y to produce the equivalent expression 3y
6.EE.A.4Identify when two expressions are equivalent (i.e., when the two expressions name the same number regardless of which value is substituted into them). For example, the expressions y + y + y and 3y are equivalent because they name the same number regardless of which number y stands for
6.EE.B.5Understand solving an equation or inequality as a process of answering a question: which values from a specified set, if any, make the equation or inequality true? Use substitution to determine whether a given number in a specified set makes an equation or inequality true
6.EE.B.6Use variables to represent numbers and write expressions when solving a real-world or mathematical problem; understand that a variable can represent an unknown number, or, depending on the purpose at hand, any number in a specified set
6.EE.B.7Solve real-world and mathematical problems by writing and solving equations of the formx+p=qandpx=qfor cases in whichp,qandxare all nonnegative rational numbers. For example, Sal is paid $0.50 per pound of blueberries that she rakes. If she rakesxpounds, and earns $17.25, write and solve an equation that determines how many pounds she raked
6.EE.B.8Write an inequality of the formx>corx<cto represent a constraint or condition in a real-world or mathematical problem. Recognize that inequalities of the formx>corx<chave infinitely many solutions; represent solutions of such inequalities on number line diagrams
6.EE.C.9Use variables to represent two quantities in a real-world problem that change in relationship to one another; write an equation to express one quantity, thought of as the dependent variable, in terms of the other quantity, thought of as the independent variable. Analyze the relationship between the dependent and independent variables using graphs and tables and relate these to the equation. For example, in a problem involving motion at constant speed, list and graph ordered pairs of distances and times, and write the equation d = 65t to represent the relationship between distance and time

6.GR

6.GR.EA.1Solve real-world and mathematical problems involving angle measure, area, surface area, and volume

6.G · Geometry

6.G.A.1Find the area of right triangles, other triangles, special quadrilaterals, and polygons by composing into rectangles or decomposing into triangles and other shapes; apply these techniques in the context of solving real-world and mathematical problems
6.G.A.2Find the volume of a right rectangular prism with fractional edge lengths by packing it with unit cubes of the appropriate unit fraction edge lengths and show that the volume is the same as would be found by multiplying the edge lengths of the prism. Apply the formulasV=l w handV=B h(whereBstands for the area of the base) to find volumes of right rectangular prisms with fractional edge lengths in the context of solving real-world and mathematical problems
6.G.A.3Draw polygons in the coordinate plane given coordinates for the vertices; use coordinates to find the length of a side joining points with the same first coordinate or the same second coordinate. Apply these techniques in the context of solving real-world and mathematical problems
6.G.A.4Represent three-dimensional figures using nets made up of rectangles and triangles and use the nets to find the surface area of these figures. Apply these techniques in the context of solving real-world and mathematical problems

6.SR

6.SR.EA.1Summarize distribution using measures of center, variability, and graphical displays

6.SP · Statistics & Probability

6.SP.A.1Recognize a statistical question as one that anticipates variability in the data related to the question and accounts for it in the answers. For example, "How old am I?" is not a statistical question, but "How old are the students in my school?" is a statistical question because one anticipates variability in students' ages
6.SP.A.2Understand that a set of data collected to answer a statistical question has a distribution which can be described by its center (mean, median and/or mode), spread (range and/or interquartile range), and overall shape
6.SP.A.3Recognize that a measure of center for a numerical data set summarizes all of its values with a single number, while a measure of variation describes how its values vary with a single number
6.SP.B.4Display numerical data in plots on a number line, including dot plots, histograms, and box plots
6.SP.B.5Summarize numerical data sets in relation to their context, such as by:
6.SP.B.5aReporting the number of observations
6.SP.B.5bDescribing the nature of the attribute under investigation, including how it was measured and its units of measurement
6.SP.B.5cCalculating quantitative measures of center (median and/or mean) and variability (range and/or interquartile range and/or mean absolute deviation), as well as describing any overall pattern and any striking deviations from the overall pattern with reference to the context in which the data were gathered
6.SP.B.5dRelating the choice of measures of center and variability to the shape of the data distribution and the context in which the data were gathered

Standards: Maine Learning Results. Official source ↗

Maine TYA Grade 6 Math FAQ

What is the TYA Grade 6 math test?

The TYA (Maine Through Year Assessment) is Maine's Grade 6 mathematics assessment. The linked activities are independent Grade 6 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 6 Math in Other States

Explore Grade 6 math standards, practice tests, and worksheets for every state.

Make This Your Maine TYA Starting Point

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Maine Grade 6 Math

Start With a TYA Practice Test

TYA Practice Test 1

TYA Practice Test 2

TYA Practice Test 3

TYA Practice Test 4

TYA Practice Test 5

TYA Practice Test 6

Maine Grade 6 Math Study Tools

Grade 6 Math Flashcards

Grade 6 Math Formula Review

Maine Grade 6 Math Skill Quizzes

Ratios, Rates & Proportions

Fractions & Decimals

Integers & the Coordinate Plane

Factors, Multiples & Percents

Expressions, Equations & Inequalities

Geometry: Area, Surface Area & Volume

Statistics & Data

Mixed Grade 6 Review

Maine TYA Grade 6 Math Snapshot

Maine Grade 6: connect practice to a classroom target

Choose practice from the explanation

Maine Grade 6 Math Topics

Ratios And Proportional Relationships

The Number System, Fractions