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New York Grade 6 Math
New York Grade 6 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: Next Generation Learning Standards, New York State Education Department.
Start With a NYSTP Practice Test
Six full, timed New York NYSTP 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.
NYSTP Practice Test 1
A full diagnostic across every New York Grade 6 math topic.
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NYSTP Practice Test 2
Fresh questions and problem types to build accuracy.
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NYSTP Practice Test 3
New problems to add speed and confidence on every skill.
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NYSTP Practice Test 4
Another complete, timed exam to build pacing and stamina.
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NYSTP Practice Test 5
A brand-new mixed set to test your readiness.
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NYSTP Practice Test 6
A final full-length simulation to confirm you are ready.
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New York Grade 6 Math Study Tools
A few minutes of quick review, flip through flashcards or scan every key formula. Both open right here.
New York Grade 6 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.
Ratios, Rates & Proportions
A quick 10-question check on Ratios, Rates & Proportions with instant scoring and step-by-step solutions.
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Fractions & Decimals
A quick 10-question check on Fractions & Decimals with instant scoring and step-by-step solutions.
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Integers & the Coordinate Plane
A quick 10-question check on Integers & the Coordinate Plane with instant scoring and step-by-step solutions.
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Factors, Multiples & Percents
A quick 10-question check on Factors, Multiples & Percents with instant scoring and step-by-step solutions.
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Expressions, Equations & Inequalities
A quick 10-question check on Expressions, Equations & Inequalities with instant scoring and step-by-step solutions.
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Geometry: Area, Surface Area & Volume
A quick 10-question check on Geometry: Area, Surface Area & Volume with instant scoring and step-by-step solutions.
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Statistics & Data
A quick 10-question check on Statistics & Data with instant scoring and step-by-step solutions.
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Mixed Grade 6 Review
A quick 10-question check on Mixed Grade 6 Review with instant scoring and step-by-step solutions.
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New York NYSTP Grade 6 Math Snapshot
New York Grade 6: connect practice to a classroom target
Use New York 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.
- NY-6.RP.1
- Understand the concept of a ratio and use ratio language to describe a ratio relationship between two quantities
- NY-6.NS.1
- Interpret and compute quotients of fractions, and solve word problems involving division of fractions by fractions
- NY-6.EE.1
- Write and evaluate numerical expressions involving whole-number exponents
- NY-6.G.1
- Find area of triangles, trapezoids, and other polygons by composing into rectangles or decomposing into triangles and quadrilaterals. Apply these techniques in the context of solving real-world and mathematical problems
- NY-6.SP.1a
- Recognize that a statistical question is 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.
New York Grade 6 Math Topics
Student-friendly Grade 6 math skills connected to the New York standards, each tagged with its NYSTP standard code and a focused lesson.
Ratios And Proportional Relationships
- 6.RP.1Understanding RatiosWorksheetsQuiz
- 6.RP.2Writing Ratios in Different FormsWorksheetsQuiz
- 6.RP.3Equivalent RatiosWorksheetsQuiz
- 6.RP.3aRatio TablesWorksheetsQuiz
- 6.RP.2Unit RatesWorksheetsQuiz
- 6.RP.2Comparing Unit RatesWorksheetsQuiz
- 6.RP.3Solving Ratio ProblemsWorksheetsQuiz
- 6.RP.1Proportions and Cross MultiplicationWorksheetsQuiz
The Number System, Fractions
- 6.NS.4Simplifying FractionsWorksheetsQuiz
- 6.NS.1Adding Fractions with Unlike DenominatorsWorksheetsQuiz
- 6.NS.1Subtracting Fractions with Unlike DenominatorsWorksheetsQuiz
- 6.NS.3Adding and Subtracting Mixed NumbersWorksheetsQuiz
- 6.NS.1Multiplying FractionsWorksheetsQuiz
- 6.NS.4Multiplying Mixed NumbersWorksheetsQuiz
- 6.NS.1Dividing FractionsWorksheetsQuiz
- 6.NS.1Dividing Mixed NumbersWorksheetsQuiz
The Number System, Decimals
- 6.NS.3Decimal Place ValueWorksheetsQuiz
- 6.NS.7Comparing and Ordering DecimalsWorksheetsQuiz
- 6.NS.3Adding and Subtracting DecimalsWorksheetsQuiz
- 6.NS.3Multiplying DecimalsWorksheetsQuiz
- 6.NS.4Dividing Decimals by Whole NumbersWorksheetsQuiz
- 6.NS.3Dividing Decimals by DecimalsWorksheetsQuiz
- 6.NS.1Converting Fractions to DecimalsWorksheetsQuiz
- 6.NS.1Converting Decimals to Fractions (resource currently unavailable)WorksheetsQuiz
The Number System, Integers And The Coordinate Plane
- 6.NS.5Understanding Positive and Negative NumbersWorksheetsQuiz
- 6.NS.6Integers on a Number LineWorksheetsQuiz
- 6.NS.7Opposites and Absolute ValueWorksheetsQuiz
- 6.NS.7Comparing and Ordering IntegersWorksheetsQuiz
- 6.NS.8Graphing on the Coordinate PlaneWorksheetsQuiz
- 6.NS.8Reflecting Points on the Coordinate PlaneWorksheetsQuiz
The Number System, Factors And Multiples
Ratios And Percents
Expressions And Equations
- 6.EE.2Writing Algebraic ExpressionsWorksheetsQuiz
- 6.EE.2Evaluating Algebraic ExpressionsWorksheetsQuiz
- 6.EE.2cOrder of OperationsWorksheetsQuiz
- 6.EE.3The Distributive PropertyWorksheetsQuiz
- 6.EE.3Combining Like TermsWorksheetsQuiz
- 6.EE.7Writing Equations from Word ProblemsWorksheetsQuiz
- 6.EE.7Solving One-Step Addition and Subtraction EquationsWorksheetsQuiz
- 6.EE.7Solving One-Step Multiplication and Division EquationsWorksheetsQuiz
- 6.EE.8Writing and Graphing InequalitiesWorksheetsQuiz
- 6.EE.8Solving One-Step InequalitiesWorksheetsQuiz
Geometry, Area
Geometry, 3D Figures, Surface Area, And Volume
Statistics
- 6.SP.2Statistical QuestionsWorksheetsQuiz
- 6.SP.3MeanWorksheetsQuiz
- 6.SP.3Median and ModeWorksheetsQuiz
- 6.SP.2RangeWorksheetsQuiz
- 6.SP.2Mean Absolute DeviationWorksheetsQuiz
- 6.SP.4Dot PlotsWorksheetsQuiz
- 6.SP.4HistogramsWorksheetsQuiz
- 6.SP.4Box PlotsWorksheetsQuiz
- 6.SP.2Summarizing and Describing DistributionsWorksheetsQuiz
Best New York NYSTP Grade 6 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.
New York NYSTP Grade 6 Math Made Ridiculously Simple
A step-by-step NYSTP Grade 6 math book that rebuilds every tested skill clearly and in order, built to match the New York standards.
- Best starting point for the NYSTP math test
- Pairs with New York 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 NYSTP-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 New York Grade 6 math book
New York NYSTP Grade 6 Math Made Ridiculously Simple
Start here to rebuild NYSTP math from the ground up.
New York NYSTP Grade 6 Math Preparation Bundle
The full prep library, study guide, workbook, and practice tests together.
7 New York NYSTP Grade 6 Math Practice Tests
Use after topic review to build pacing and test stamina.
New York NYSTP Grade 6 Math & ELA Mega Bundle
9 books and 44 full-length practice tests in one TPT bundle.
New York Grade 6 Math Standards
The official New York Grade 6 math standards, grouped by domain with the exact code and description for each expectation.
6.RP · Ratios & Proportional Relationships
- 6.RP.1Understand the concept of a ratio and use ratio language to describe a ratio relationship between two quantities
- 6.RP.2Understand the concept of a unit rate a/b associated with a ratio a:b with b ≠ 0 (b not equal to zero), and use rate language in the context of a ratio relationship
- 6.RP.3Use ratio and rate reasoning to solve real-world and mathematical problems
- 6.RP.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.3bSolve unit rate problems
- 6.RP.3cFind a percent of a quantity as a rate per 100. Solve problems that involve finding the whole given a part and the percent, and finding a part of a whole given the percent
- 6.RP.3dUse ratio reasoning to convert measurement units; manipulate and transform units appropriately when multiplying or dividing quantities
6.NS · The Number System
- 6.NS.1Interpret and compute quotients of fractions, and solve word problems involving division of fractions by fractions
- 6.NS.2Fluently divide multi-digit numbers using a standard algorithm
- 6.NS.3Fluently add, subtract, multiply, and divide multi-digit decimals using a standard algorithm for each operation
- 6.NS.4Find the greatest common factor of two whole numbers less than or equal to 100. Use the distributive property to express a sum of two whole numbers 1 to 100 with a common factor as a multiple of a sum of two whole numbers with no common factor other than 1. Find the least common multiple of two whole numbers less than or equal to 12
- 6.NS.5Understand that positive and negative numbers are used together to describe quantities having opposite directions or values. Use positive and negative numbers to represent quantities in real-world contexts, explaining the meaning of 0 in each situation
- 6.NS.6Understand a rational number as a point on the number line. Use number lines and coordinate axes to represent points on a number line and in the coordinate plane with negative number coordinates
- 6.NS.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, and that 0 is its own opposite
- 6.NS.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.6cFind and position integers and other rational numbers on a horizontal or vertical number line. Find and position pairs of integers and other rational numbers on a coordinate plane
- 6.NS.7Understand ordering and absolute value of rational numbers
- 6.NS.7aInterpret statements of inequality as statements about the relative position of two numbers on a number line
- 6.NS.7bWrite, interpret, and explain statements of order for rational numbers in real-world contexts
- 6.NS.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
- 6.NS.7dDistinguish comparisons of absolute value from statements about order
- 6.NS.8Solve real-world and mathematical problems by graphing points on a 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.EE · Expressions & Equations
- 6.EE.1Write and evaluate numerical expressions involving whole-number exponents
- 6.EE.2Write, read, and evaluate expressions in which letters stand for numbers
- 6.EE.2aWrite expressions that record operations with numbers and with letters standing for numbers
- 6.EE.2bIdentify parts of an expression using mathematical terms (term, coefficient, sum, difference, product, factor, and quotient); view one or more parts of an expression as a single entity
- 6.EE.2cEvaluate expressions given specific values for their variables. Include expressions that arise from formulas in real-world problems. Perform arithmetic operations, including those involving whole-number exponents, in the conventional order (Order of Operations)
- 6.EE.3Apply the properties of operations to generate equivalent expressions
- 6.EE.4Identify when two expressions are equivalent
- 6.EE.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.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.7Solve real-world and mathematical problems by writing and solving equations of the formx+p=q;x, p=q;px=q; andx/p=qfor cases in whichp,qandxare all nonnegative rational numbers
- 6.EE.8Write an inequality of the formx>c,x≥c,x≤corx<cto represent a constraint or condition in a real-world or mathematical problem. Recognize that inequalities of these forms have infinitely many solutions; represent solutions of such inequalities on a number line
- 6.EE.9Use variables to represent two quantities in a real-world problem that change in relationship to one another. Given a verbal context and an equation, identify 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
6.G · Geometry
- 6.G.1Find area of triangles, trapezoids, and other polygons by composing into rectangles or decomposing into triangles and quadrilaterals. Apply these techniques in the context of solving real-world and mathematical problems
- 6.G.2Find volumes of right rectangular prisms with fractional edge lengths in the context of solving real-world and mathematical problems
- 6.G.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.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.G.5Use area and volume models to explain perfect squares and perfect cubes
6.SP · Statistics & Probability
- 6.SP.1aRecognize that a statistical question is one that anticipates variability in the data related to the question and accounts for it in the answers
- 6.SP.1bUnderstand that statistics can be used to gain information about a population by examining a sample of the population; generalizations about a population from a sample are valid only if the sample is representative of that population
- 6.SP.1cUnderstand that the method and sample size used to collect data for a particular question is intended to reduce the difference between a population and a sample taken from the population so valid inferences can be drawn about the population. Generate multiple samples (or simulated samples) of the same size to recognize the variation in estimates or predictions
- 6.SP.2Understand that a set of quantitative data collected to answer a statistical question has a distribution which can be described by its center, spread, and overall shape
- 6.SP.3Recognize that a measure of center for a quantitative 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.4Display quantitative data in plots on a number line, including dot plots and histograms
- 6.SP.5Summarize quantitative data sets in relation to their context
- 6.SP.5aReport the number of observations
- 6.SP.5bDescribe the nature of the attribute under investigation, including how it was measured and its units of measurement
- 6.SP.5cCalculate range and measures of center, as well as describe any overall pattern and any striking deviations from the overall pattern with reference to the context in which the data were gathered
- 6.SP.5dRelate the range and the choice of measures of center to the shape of the data distribution and the context in which the data were gathered
- 6.SP.6Understand that the probability of a chance event is a number between 0 and 1 inclusive, that expresses the likelihood of the event occurring. Larger numbers indicate greater likelihood. A probability near 0 indicates an unlikely event, a probability around ½ indicates an event that is neither unlikely nor likely, and a probability near 1 indicates a likely event
- 6.SP.7Approximate the probability of a simple event by collecting data on the chance process that produces it and observing its long-run relative frequency, and predict the approximate relative frequency given the probability
- 6.SP.8Develop a probability model and use it to find probabilities of simple events. Compare probabilities from a model to observed frequencies; if the agreement is not good, explain possible sources of the discrepancy
- 6.SP.8aDevelop a uniform probability model by assigning equal probability to all outcomes, and use the model to determine probabilities of simple events
- 6.SP.8bDevelop a probability model (which may not be uniform) by observing frequencies in data generated from a chance process
Standards: New York Next Generation Mathematics Learning Standards. Official source ↗
New York NYSTP Grade 6 Math FAQ
What is the NYSTP Grade 6 math test?
The NYSTP (New York State Testing Program) is New York'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.
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- District of Columbia
Make This Your New York NYSTP Starting Point
Take a timed practice test, find your weakest topic, and study it with the linked lessons, worksheets, and the NYSTP study guide.
Start a practice testA USEFUL NEXT STEP
New York Grade 6 Math: study questions
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.
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