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New York Grade 7 Math
New York Grade 7 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 7 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 7 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 7 Math Study Tools
A few minutes of quick review, flip through flashcards or scan every key formula. Both open right here.
New York Grade 7 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 & Proportional Relationships
A quick 10-question check on Ratios & Proportional Relationships with instant scoring and step-by-step solutions.
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Percents & Financial Literacy
A quick 10-question check on Percents & Financial Literacy with instant scoring and step-by-step solutions.
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Integers & Rational Numbers
A quick 10-question check on Integers & Rational Numbers 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 & Volume
A quick 10-question check on Geometry, 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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Probability
A quick 10-question check on Probability with instant scoring and step-by-step solutions.
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Mixed Grade 7 Review
A quick 10-question check on Mixed Grade 7 Review with instant scoring and step-by-step solutions.
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New York NYSTP Grade 7 Math Snapshot
New York Grade 7: 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-7.RP.1
- Compute unit rates associated with ratios of fractions
- NY-7.NS.1
- Apply and extend previous understandings of addition and subtraction to add and subtract rational numbers. Represent addition and subtraction on a horizontal or vertical number line
- NY-7.EE.1
- Add, subtract, factor, and expand linear expressions with rational coefficients by applying the properties of operations
- NY-7.G.1
- Solve problems involving scale drawings of geometric figures, including computing actual lengths and areas from a scale drawing and reproducing a scale drawing at a different scale
- NY-7.SP.1
- Construct and interpret box-plots, find the interquartile range, and determine if a data point is an outlier
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 7 Math Topics
70 student-friendly Grade 7 math skills connected to the New York standards, each tagged with its NYSTP standard code and a focused lesson.
Ratios & Proportional Relationships
- 7.RP.1Unit Rates with FractionsWorksheetsQuiz
- 7.RP.2aRecognizing Proportional RelationshipsWorksheetsQuiz
- 7.RP.2bFinding the Constant of ProportionalityWorksheetsQuiz
- 7.RP.2Writing Equations for Proportional RelationshipsWorksheetsQuiz
- 7.RP.2dGraphing Proportional RelationshipsWorksheetsQuiz
- 7.EE.3Applying Proportional Reasoning to Real-World ProblemsWorksheetsQuiz
- 7.G.1Proportional Reasoning with Scale ModelsWorksheetsQuiz
Percents & Their Applications
- 7.G.2Solving Percent ProblemsWorksheetsQuiz
- 7.RP.3Connecting Percents and ProportionsWorksheetsQuiz
- 7.EE.1Percent Increase and DecreaseWorksheetsQuiz
- 7.NS.3Markups, Discounts, and Sales TaxWorksheetsQuiz
- 7.NS.1dTips, Commissions, and FeesWorksheetsQuiz
- 7.RP.2bSimple Interest: Earning and Paying InterestWorksheetsQuiz
- 7.G.4Percent Error: How Close Are Your Estimates?WorksheetsQuiz
- 7.G.1Personal Financial LiteracyWorksheetsQuiz
- 7.SP.8cFinancial Literacy, Budgeting, Saving, and InvestingWorksheetsQuiz
- 7.SP.8Compound Interest IntroductionWorksheetsQuiz
Integers & Rational Numbers
- 7.NS.1aIntegers and Their OppositesWorksheetsQuiz
- 7.NS.1bAdding IntegersWorksheetsQuiz
- 7.NS.1cSubtracting IntegersWorksheetsQuiz
- 7.EE.3Adding and Subtracting Rational NumbersWorksheetsQuiz
- 7.NS.2aMultiplying Integers and Rational NumbersWorksheetsQuiz
- 7.NS.2bDividing Integers and Rational NumbersWorksheetsQuiz
- 7.NS.2dConverting Rational Numbers to DecimalsWorksheetsQuiz
- 7.EE.3Solving Real-World Problems with Rational Numbers (resource currently unavailable)WorksheetsQuiz
- 7.NS.1Introduction to Square RootsWorksheetsQuiz
- 7.NS.3Rational Number Operations in Extended ContextsWorksheetsQuiz
- 7.NS.2Introduction to Scientific NotationWorksheetsQuiz
Algebraic Expressions
- 7.EE.1Writing and Evaluating ExpressionsWorksheetsQuiz
- 7.EE.1Simplifying Expressions by Combining Like TermsWorksheetsQuiz
- 7.EE.1Expanding Expressions with the Distributive PropertyWorksheetsQuiz
- 7.EE.1Factoring ExpressionsWorksheetsQuiz
- 7.EE.1Adding and Subtracting Linear ExpressionsWorksheetsQuiz
- 7.EE.2Rewriting Expressions to Solve ProblemsWorksheetsQuiz
- 7.NS.2Laws of ExponentsWorksheetsQuiz
Equations & Inequalities
- 7.EE.3Writing Two-Step Equations from Word ProblemsWorksheetsQuiz
- 7.EE.4aSolving Two-Step EquationsWorksheetsQuiz
- 7.NS.2dSolving Equations with the Distributive PropertyWorksheetsQuiz
- 7.EE.3Solving Multi-Step Problems with Rational Numbers (resource currently unavailable)WorksheetsQuiz
- 7.EE.4bWriting and Solving InequalitiesWorksheetsQuiz
- 7.EE.4bGraphing Solutions to Inequalities on a Number LineWorksheetsQuiz
Scale Drawings & Geometric Constructions
- 7.G.1Understanding and Using Scale DrawingsWorksheetsQuiz
- 7.G.1Reproducing Scale Drawings at a Different ScaleWorksheetsQuiz
- 7.G.2Drawing Geometric Figures with Given ConditionsWorksheetsQuiz
- 7.G.2Constructing Triangles from Three MeasurementsWorksheetsQuiz
- 7.G.3Cross-Sections of Three-Dimensional FiguresWorksheetsQuiz
- 7.G.5Angle Relationships: Supplementary, Complementary, and Vertical AnglesWorksheetsQuiz
- 7.RP.2bTransformations on the Coordinate PlaneWorksheetsQuiz
- 7.G.1Similar Figures and ProportionsWorksheetsQuiz
Geometry: Circles, Area & Volume
- 7.G.4Parts of a CircleWorksheetsQuiz
- 7.G.4Circumference of a CircleWorksheetsQuiz
- 7.G.4Area of a CircleWorksheetsQuiz
- 7.NS.1dArea of Composite ShapesWorksheetsQuiz
- 7.G.6Surface Area of Three-Dimensional ObjectsWorksheetsQuiz
- 7.G.6Volume of PrismsWorksheetsQuiz
- 7.G.6Cylinder Surface Area and VolumeWorksheetsQuiz
Statistics & Sampling
- 7.SP.4Populations and SamplesWorksheetsQuiz
- 7.SP.4Making Inferences from Random SamplesWorksheetsQuiz
- 7.SP.3Comparing Two Populations VisuallyWorksheetsQuiz
- 7.SP.4Comparing Populations with Measures of Center and VariabilityWorksheetsQuiz
- 7.SP.1Stem-and-Leaf PlotsWorksheetsQuiz
- 7.SP.1Circle GraphsWorksheetsQuiz
- 7.G.5Data Displays ExtendedWorksheetsQuiz
Probability
- 7.RP.2dWhat Is Probability?WorksheetsQuiz
- 7.SP.8aTheoretical ProbabilityWorksheetsQuiz
- 7.NS.2dExperimental ProbabilityWorksheetsQuiz
- 7.SP.8aProbability ModelsWorksheetsQuiz
- 7.SP.8aSample Spaces for Compound EventsWorksheetsQuiz
- 7.SP.8Finding Probabilities of Compound EventsWorksheetsQuiz
- 7.SP.8cSimulating Compound EventsWorksheetsQuiz
New York Grade 7 Math Standards
The official New York Grade 7 math standards, grouped by domain with the exact code and description for each expectation.
7.RP · Ratios & Proportional Relationships
- 7.RPRatios and Proportional Relationships
- 7.RP.1Compute unit rates associated with ratios of fractions
- 7.RP.2Recognize and represent proportional relationships between quantities
- 7.RP.2aDecide whether two quantities are in a proportional relationship
- 7.RP.2bIdentify the constant of proportionality (unit rate) in tables, graphs, equations, diagrams, and verbal descriptions of proportional relationships
- 7.RP.2cRepresent a proportional relationship using an equation
- 7.RP.2dExplain what a point (x,y) on the graph of a proportional relationship means in terms of the situation, with special attention to the points (0, 0) and (1,r) whereris the unit rate
- 7.RP.3Use proportional relationships to solve multistep ratio and percent problems
7.NS · The Number System
- 7.NSThe Number System
- 7.NS.1Apply and extend previous understandings of addition and subtraction to add and subtract rational numbers. Represent addition and subtraction on a horizontal or vertical number line
- 7.NS.1aDescribe situations in which opposite quantities combine to make 0
- 7.NS.1bUnderstand addition of rational numbers;p+qis the number located a distance |q| fromp, in the positive or negative direction depending on whetherqis positive or negative. Show that a number and its opposite have a sum of 0 (are additive inverses). Interpret sums of rational numbers by describing real-world contexts
- 7.NS.1cUnderstand subtraction of rational numbers as adding the additive inverse,p, q=p+ (, q). Show that the distance between two rational numbers on the number line is the absolute value of their difference, and apply this principle in real-world contexts
- 7.NS.1dApply properties of operations as strategies to add and subtract rational numbers
- 7.NS.2Apply and extend previous understandings of multiplication and division and of fractions to multiply and divide rational numbers
- 7.NS.2aUnderstand that multiplication is extended from fractions to rational numbers by requiring that operations continue to satisfy the properties of operations, particularly the distributive property, leading to products such as (, 1)(, 1) = 1 and the rules for multiplying signed numbers. Interpret products of rational numbers by describing real-world contexts
- 7.NS.2bUnderstand that integers can be divided, provided that the divisor is not zero, and every quotient of integers (with non-zero divisor) is a rational number. Ifpandqare integers, then, (p/q) = (, p)/q=p/(, q). Interpret quotients of rational numbers by describing real-world contexts
- 7.NS.2cApply properties of operations as strategies to multiply and divide rational numbers
- 7.NS.2dConvert a fraction to a decimal using long division; know that the decimal form of a rational number terminates in 0s or eventually repeats
- 7.NS.3Solve real-world and mathematical problems involving the four operations with rational numbers
7.EE · Expressions & Equations
- 7.EEExpressions, Equations, and Inequalities
- 7.EE.1Add, subtract, factor, and expand linear expressions with rational coefficients by applying the properties of operations
- 7.EE.2Understand that rewriting an expression in different forms in real-world and mathematical problems can reveal and explain how the quantities are related
- 7.EE.3Solve multi-step real-world and mathematical problems posed with positive and negative rational numbers in any form (whole numbers, fractions, and decimals), using tools strategically. Apply properties of operations to calculate with numbers in any form; convert between forms as appropriate. Assess the reasonableness of answers using mental computation and estimation strategies
- 7.EE.4Use variables to represent quantities in a real-world or mathematical problem, and construct simple equations and inequalities to solve problems by reasoning about the quantities
- 7.EE.4aSolve word problems leading to equations of the formpx+q=randp(x+q) =r, wherep,q, andrare rational numbers. Solve equations of these forms fluently. Compare an algebraic solution to an arithmetic solution, identifying the sequence of the operations used in each approach
- 7.EE.4bSolve word problems leading to inequalities of the formpx+q>r,px+q≥r,px+q≤r, orpx+q<r, wherep,q, andrare rational numbers. Graph the solution set of the inequality on the number line and interpret it in the context of the problem
7.G · Geometry
- 7.GGeometry
- 7.G.1Solve problems involving scale drawings of geometric figures, including computing actual lengths and areas from a scale drawing and reproducing a scale drawing at a different scale
- 7.G.2Draw triangles when given measures of angles and/or sides, noticing when the conditions determine a unique triangle, more than one triangle, or no triangle
- 7.G.3Describe the two-dimensional shapes that result from slicing three-dimensional solids parallel or perpendicular to the base
- 7.G.4Apply the formulas for the area and circumference of a circle to solve problems
- 7.G.5Use facts about supplementary, complementary, vertical, and adjacent angles in a multi-step problem to write and solve simple equations for an unknown angle in a figure
- 7.G.6Solve real-world and mathematical problems involving area of two-dimensional objects composed of triangles and trapezoids. Solve surface area problems involving right prisms and right pyramids composed of triangles and trapezoids. Find the volume of right triangular prisms, and solve volume problems involving three-dimensional objects composed of right rectangular prisms
7.SP · Statistics & Probability
- 7.SPStatistics and Probability
- 7.SP.1Construct and interpret box-plots, find the interquartile range, and determine if a data point is an outlier
- 7.SP.3Informally assess the degree of visual overlap of two quantitative data distributions
- 7.SP.4Use measures of center and measures of variability for quantitative data from random samples or populations to draw informal comparative inferences about the populations
- 7.SP.8Find probabilities of compound events using organized lists, sample space tables, tree diagrams, and simulation
- 7.SP.8aUnderstand that, just as with simple events, the probability of a compound event is the fraction of outcomes in the sample space for which the compound event occurs
- 7.SP.8bRepresent sample spaces for compound events using methods such as organized lists, sample space tables, and tree diagrams. For an event described in everyday language, identify the outcomes in the sample space which compose the event
- 7.SP.8cDesign and use a simulation to generate frequencies for compound events
Standards: New York Next Generation Mathematics Learning Standards. Official source ↗
New York NYSTP Grade 7 Math FAQ
What is the NYSTP Grade 7 math test?
The NYSTP (New York State Testing Program) is New York's Grade 7 mathematics assessment. The linked activities are independent Grade 7 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 7 Math in Other States
Explore Grade 7 math standards, practice tests, and worksheets for every state.
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.
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New York Grade 7 Math: study questions
How should I choose a Grade 7 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



