Grade 7 Math · Ratios, Equations & Geometry
7th Grade Math: Free Practice Problems, Lessons, Worksheets & Tests
Review ratios, rational numbers, equations, geometry and probability. Choose a topic lesson or skill quiz, then use mixed practice to decide what to study next.
Ratios · Equations · Probability
What math do 7th graders learn?
Seventh grade math focuses on proportional relationships and operations with rational numbers, including negative numbers. Students write and solve equations and inequalities, work with expressions, and solve percent problems such as discounts, tax and interest. In geometry they find the area and circumference of circles and the surface area and volume of solids. They also study probability and draw conclusions from samples.
- Ratios
- Unit rates, proportional relationships, percent problems
- Numbers
- Adding, subtracting, multiplying and dividing positive and negative numbers
- Algebra
- Expressions, two-step equations and inequalities
- Geometry and data
- Circles, angles, surface area and volume; probability and sampling
Based on the Common Core State Standards. Your state’s standards and test may differ.
On this page
Grade 7 Math Practice Tests
Choose a Grade 7 practice activity and use your missed topics to plan review. Check each activity’s directions for its timer, question count and calculator settings. These independent activities are separate from your state or school assessment.
Common Core Practice Test 1
Use mixed practice to find topics for review.
Start Test 1 →
Common Core Practice Test 2
Try another set after reviewing your missed topics.
Start Test 2 →
Common Core Practice Test 3
Apply a reviewed method in mixed practice.
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Common Core Practice Test 4
Practice working through a set at a steady pace.
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Common Core Practice Test 5
Note any errors that recur in mixed practice.
Start Test 5 →
Common Core Practice Test 6
Use your results to choose the next review session.
Start Test 6 →
Common Core Grade 7 Math Study Tools
Review a concept with the flashcards or formula sheet below, then practice the same skill in the free Grade 7 printable worksheets. If a step is unclear, use a matching lesson before trying a practice test.
Common Core 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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Curriculum reference: Common Core Grade 7 mathematics overview. Use the general learning progression to plan math review. Your state’s current curriculum and classroom assignments determine local expectations.
Common Core Grade 7 Math Topics
Choose a topic for review. Codes show the related Common Core expectation where there is a direct match. Supporting review and later-grade extensions are labeled separately; your classroom curriculum determines local expectations.
Ratios & Proportional Relationships
- 7.RP.A.1Unit Rates with FractionsWorksheetsQuiz
- 7.RP.A.2aRecognizing Proportional RelationshipsWorksheetsQuiz
- 7.RP.A.2bFinding the Constant of ProportionalityWorksheetsQuiz
- 7.RP.A.2cWriting Equations for Proportional RelationshipsWorksheetsQuiz
- 7.RP.A.2dGraphing Proportional RelationshipsWorksheetsQuiz
- 7.RP.A.3Applying Proportional Reasoning to Real-World ProblemsWorksheetsQuiz
- 7.G.A.1Proportional Reasoning with Scale ModelsWorksheetsQuiz
Percents & Their Applications
- 7.RP.A.3Solving Percent ProblemsWorksheetsQuiz
- 7.RP.A.3Connecting Percents and ProportionsWorksheetsQuiz
- 7.RP.A.3Percent Increase and DecreaseWorksheetsQuiz
- 7.RP.A.3Markups, Discounts, and Sales TaxWorksheetsQuiz
- 7.RP.A.3Tips, Commissions, and FeesWorksheetsQuiz
- 7.RP.A.3Simple Interest: Earning and Paying InterestWorksheetsQuiz
- 7.RP.A.3Percent Error: How Close Are Your Estimates?WorksheetsQuiz
- ExtensionPersonal Financial LiteracyWorksheetsQuiz
- ExtensionFinancial Literacy, Budgeting, Saving, and InvestingWorksheetsQuiz
- ExtensionCompound Interest IntroductionWorksheetsQuiz
Integers & Rational Numbers
- 7.NS.A.1aIntegers and Their OppositesWorksheetsQuiz
- 7.NS.A.1bAdding IntegersWorksheetsQuiz
- 7.NS.A.1cSubtracting IntegersWorksheetsQuiz
- 7.NS.A.1Adding and Subtracting Rational NumbersWorksheetsQuiz
- 7.NS.A.2aMultiplying Integers and Rational NumbersWorksheetsQuiz
- 7.NS.A.2bDividing Integers and Rational NumbersWorksheetsQuiz
- 7.NS.A.2dConverting Rational Numbers to DecimalsWorksheetsQuiz
- 7.NS.A.3Solving Real-World Problems with Rational Numbers (resource currently unavailable)WorksheetsQuiz
- Grade 8 extensionIntroduction to Square RootsWorksheetsQuiz
- 7.NS.A.3Rational Number Operations in Extended ContextsWorksheetsQuiz
- Grade 8 extensionIntroduction to Scientific NotationWorksheetsQuiz
Algebraic Expressions
- Supporting reviewWriting and Evaluating ExpressionsWorksheetsQuiz
- 7.EE.A.1Simplifying Expressions by Combining Like TermsWorksheetsQuiz
- 7.EE.A.1Expanding Expressions with the Distributive PropertyWorksheetsQuiz
- 7.EE.A.1Factoring ExpressionsWorksheetsQuiz
- 7.EE.A.1Adding and Subtracting Linear ExpressionsWorksheetsQuiz
- 7.EE.A.2Rewriting Expressions to Solve ProblemsWorksheetsQuiz
- Grade 8 extensionLaws of ExponentsWorksheetsQuiz
Equations & Inequalities
- 7.EE.B.4aWriting Two-Step Equations from Word ProblemsWorksheetsQuiz
- 7.EE.B.4aSolving Two-Step EquationsWorksheetsQuiz
- 7.EE.B.4aSolving Equations with the Distributive PropertyWorksheetsQuiz
- 7.EE.B.3Solving Multi-Step Problems with Rational Numbers (resource currently unavailable)WorksheetsQuiz
- 7.EE.B.4bWriting and Solving InequalitiesWorksheetsQuiz
- 7.EE.B.4bGraphing Solutions to Inequalities on a Number LineWorksheetsQuiz
Scale Drawings & Geometric Constructions
- 7.G.A.1Understanding and Using Scale DrawingsWorksheetsQuiz
- 7.G.A.1Reproducing Scale Drawings at a Different ScaleWorksheetsQuiz
- 7.G.A.2Drawing Geometric Figures with Given ConditionsWorksheetsQuiz
- 7.G.A.2Constructing Triangles from Three MeasurementsWorksheetsQuiz
- 7.G.A.3Cross-Sections of Three-Dimensional FiguresWorksheetsQuiz
- 7.G.B.5Angle Relationships: Supplementary, Complementary, and Vertical AnglesWorksheetsQuiz
- Grade 8 extensionTransformations on the Coordinate PlaneWorksheetsQuiz
- 7.G.A.1Similar Figures and ProportionsWorksheetsQuiz
Geometry: Circles, Area & Volume
- 7.G.B.4Parts of a CircleWorksheetsQuiz
- 7.G.B.4Circumference of a CircleWorksheetsQuiz
- 7.G.B.4Area of a CircleWorksheetsQuiz
- 7.G.B.6Area of Composite ShapesWorksheetsQuiz
- 7.G.B.6Surface Area of Three-Dimensional ObjectsWorksheetsQuiz
- 7.G.B.6Volume of PrismsWorksheetsQuiz
- Grade 8 extensionCylinder Surface Area and VolumeWorksheetsQuiz
Statistics & Sampling
- 7.SP.A.1Populations and SamplesWorksheetsQuiz
- 7.SP.A.2Making Inferences from Random SamplesWorksheetsQuiz
- 7.SP.B.3Comparing Two Populations VisuallyWorksheetsQuiz
- 7.SP.B.4Comparing Populations with Measures of Center and VariabilityWorksheetsQuiz
- Supporting reviewStem-and-Leaf PlotsWorksheetsQuiz
- Supporting reviewCircle GraphsWorksheetsQuiz
- Supporting reviewData Displays ExtendedWorksheetsQuiz
Probability
- 7.SP.C.5What Is Probability?WorksheetsQuiz
- 7.SP.C.7aTheoretical ProbabilityWorksheetsQuiz
- 7.SP.C.6Experimental ProbabilityWorksheetsQuiz
- 7.SP.C.7Probability ModelsWorksheetsQuiz
- 7.SP.C.8bSample Spaces for Compound EventsWorksheetsQuiz
- 7.SP.C.8aFinding Probabilities of Compound EventsWorksheetsQuiz
- 7.SP.C.8cSimulating Compound EventsWorksheetsQuiz
Best Common Core Grade 7 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.
Common Core Grade 7 Math Made Ridiculously Simple
A step-by-step Common Core Grade 7 math book that rebuilds every tested skill clearly and in order, built to match the Common Core standards.
- Best starting point for the Common Core math test
- Pairs with Common Core 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 Common Core-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.
Choose the right Common Core Grade 7 math book
Common Core Grade 7 Math Made Ridiculously Simple
Start here to rebuild Common Core math from the ground up.
The Ultimate Middle School Math Bundle
The full prep library, study guide, workbook, and practice tests together.
Common Core 7th Grade Math Workbook
Repeated practice by topic when a student needs more reps.
10 Full Length Common Core Grade 7 Math Practice Tests: The Practice You Need to Ace the Common Core Grade 7 Math Test
Use after topic review to build pacing and test stamina.
Grade 7 Math Standards at a Glance
This short guide summarizes the five Common Core domains. Use the official domain links for the exact wording and your state’s current curriculum for local requirements.
Ratios and proportional relationships
Use unit rates and proportional relationships in tables, graphs and equations. Apply proportional reasoning to percent and scale problems.
Official 7.RP standardsRational number operations
Explain and use signed-number operations. Connect fractions and decimals, and check the meaning of an answer in context.
Official 7.NS standardsExpressions, equations and inequalities
Rewrite expressions to show equivalent forms. Model a situation with a variable, solve a simple equation or inequality, and check the result.
Official 7.EE standardsGeometry and measurement
Connect scale drawings and constructions with geometric reasoning. Review cross-sections, angle relationships, circles, and measurements of composite figures.
Official 7.G standardsStatistics and probability
Use representative samples to compare groups. Describe uncertainty, build probability models and organize outcomes for compound events.
Official 7.SP standardsCommon Core Grade 7 Math FAQ
What is the hardest part of 7th grade math?
Many students find negative numbers and multi-step word problems the hardest, especially percent and proportion problems. Practice the rules for adding and multiplying signed numbers until they feel automatic, then work word problems by writing an equation before you calculate.
How does Common Core relate to my child’s Grade 7 test?
Common Core describes learning standards. Your state or school determines the assessment. The lessons and independent practice here support topic review; their settings do not establish official test rules.
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 by State
Choose your state to open its skill targets and available practice resources.
Make This Your Common Core Starting Point
Take a timed practice test, find your weakest topic, and study it with the linked lessons, worksheets, and the Common Core study guide.
Start a practice testA USEFUL NEXT STEP
Grade 7 Math: study questions
Which topics belong in Grade 7 math review?
Review proportions, rational number operations, expressions and equations, geometry, sampling and probability. This page also labels supporting review and later-grade extensions separately. Use your classroom curriculum to decide what to study next.
Official source ↗Does Common Core determine the Grade 7 test?
Common Core describes learning standards. Your state or school determines the assessment. These independent activities support review; check their directions and your school’s current guidance.
Resources from Effortless Math · Editorial standards