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What 7th graders learn, and a free quiz

Seventh grade builds on 6th: proportional relationships, percents, integers and two-step equations in math, atoms and chemical reactions in science, sharper reading and argument writing in English, and the medieval and early modern world in social studies.

By the StudyWiz teamUpdated October 22, 2026How we write our pages

Try a free 7th grade quiz

Five questions from across the year: two in math and one each in science, English and social studies. Answers are checked right on this page.

  1. MathPercent problems: tax, tip and discount

    Question 1: A meal costs $24. You leave a 15% tip. How much is the tip?

  2. MathTwo-step equations

    Question 2: Solve: 3x + 7 = 22

  3. SciencePhysical and chemical changes

    Question 3: Which of these is a chemical change?

  4. EnglishConnotation and denotation

    Question 4: All four words describe someone careful with money. Which one sounds the most positive?

  5. Social studiesFeudalism

    Question 5: Under feudalism in medieval Europe, what did a lord usually give a vassal in return for loyalty and military service?

Pick an answer for each question to see your score. Nothing is saved or sent anywhere.

Every 7th grade topic in StudyWiz

94 topics across four subjects. In StudyWiz, each one is a level with its own 5-question quizzes.

Math

Grouped by the Common Core math domains for grade 7. The codes in parentheses are the ones teachers and worksheets use.

Ratios and proportional relationships (7.RP)

  • Proportional relationships
  • Constant of proportionality
  • Graphing proportional relationships
  • Percent problems: tax, tip and discount
  • Percent change
  • Simple interest

The number system (7.NS)

  • Adding and subtracting integers
  • Multiplying and dividing integers
  • Rational numbers
  • Converting fractions and decimals

Expressions and equations (7.EE)

  • Combining like terms
  • The distributive property
  • Two-step equations
  • Two-step inequalities
  • Word problems with equations

Geometry (7.G)

  • Scale drawings
  • Angle relationships
  • Constructing triangles
  • Circles: circumference and area
  • Area and volume problems
  • Cross sections of 3D shapes

Statistics and probability (7.SP)

  • Probability
  • Compound probability
  • Random sampling
  • Comparing two populations

Science

Middle school science standards (NGSS) cover grades 6 to 8 as one band, so schools put these topics in different orders. This is the order StudyWiz uses.

Science and engineering skills

  • Variables and fair tests
  • Engineering design

Physical science

  • Atoms and matter
  • Elements and the periodic table
  • Molecules and compounds
  • Mixtures and solutions
  • Physical and chemical changes
  • Chemical reactions
  • Conservation of mass
  • Energy in chemical reactions
  • Natural and synthetic materials

Life science

  • Cell division
  • Photosynthesis and cellular respiration
  • Body systems working together
  • Ecosystems and food webs
  • Interactions in ecosystems
  • Matter and energy in ecosystems
  • Biodiversity

Earth and space science

  • Natural resources
  • Plate tectonics
  • Earthquakes and volcanoes
  • Fossils and Earth’s history
  • Natural hazards
  • Human impact on Earth

English language arts

Based on the Common Core reading, language and writing standards for grade 7.

Reading

  • Main idea and summary
  • Theme
  • Character and plot
  • Point of view
  • Author’s purpose
  • Figurative language
  • Citing text evidence
  • Making inferences
  • Analyzing poetry
  • Elements of drama
  • Comparing texts
  • Claims and arguments
  • Persuasive techniques

Vocabulary

  • Connotation and denotation
  • Vocabulary in context
  • Greek and Latin roots

Grammar and conventions

  • Phrases and clauses
  • Simple, compound and complex sentences
  • Commas and punctuation
  • Subject-verb agreement

Writing

  • Writing a thesis
  • Using evidence in writing
  • Research and sources

Social studies

Social studies topics vary by state. StudyWiz follows a common US order: the ancient world in 6th grade, the medieval and early modern world in 7th, and US history and civics in 8th.

Geography

  • World geography and maps

History: the medieval and early modern world

  • The fall of Rome
  • The Byzantine Empire
  • The Islamic Golden Age
  • Ghana, Mali and Songhai
  • Medieval China
  • Medieval Japan
  • The Middle Ages
  • Feudalism
  • The Crusades
  • The Black Death
  • Maya, Aztec and Inca empires
  • The Renaissance
  • The Reformation
  • The Scientific Revolution
  • The Age of Exploration
  • The Enlightenment
  • World cultures

Civics

  • Branches of government
  • Rights and responsibilities of citizens

Economics

  • Economics basics
  • Supply and demand

How StudyWiz helps in 7th grade

Each topic above is a level on your kid’s quest map. Five quick questions earn up to three stars, every answer comes with an explanation, and quizzes come in three levels: warm-up, on level and challenge.

When the problem is tonight’s homework, your kid can type the question or snap a photo of the page, and Wiz walks through it one step at a time with a hint before each step. See how hints work.

Tips for parents of 7th graders

  • Percents are the big real-world skill this year. Let your kid work out the tip at a restaurant or the price after a discount.
  • Two-step equations build on the one-step equations from 6th grade. If your kid is stuck, ask what was done to x, and what would undo it.
  • Argument writing is built on one habit: backing up a claim with evidence. “How do you know?” at the dinner table is good practice.

Keep reading

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