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Free · Self-paced · Grade 6

The Complete 6th Grade Math Study Guide

Learn the whole course as one connected story—from ratios and fractions to equations, geometry, and statistics.

10
connected chapters
40
check-your-work problems
Free
worksheets and tools
How to use this guide

Read a little. Work a problem. Check what you understand.

Each chapter begins with the big idea, explains the essential skills, and walks through one complete example. Try the short practice set without looking at the answers, then use the linked worksheet when you need more repetition.

Course map

Ten chapters, in a useful order

New ideas reuse earlier ones. If a chapter feels too difficult, step back one link and rebuild the prerequisite.

  1. 01Ratios & RatesCompare quantities, build equivalent ratios, and find unit rates.
  2. 02Fraction OperationsAdd, subtract, multiply, and divide fractions and mixed numbers.
  3. 03Decimal OperationsCalculate fluently with multi-digit decimals.
  4. 04Integers & the Coordinate PlaneOrder signed numbers and locate points in all four quadrants.
  5. 05Numerical ExpressionsUse exponents, operation order, factors, and multiples.
  6. 06Algebraic ExpressionsTranslate, evaluate, and rewrite expressions with variables.
  7. 07Equations & InequalitiesSolve one-step equations and represent inequality solutions.
  8. 08Percents & ProportionsConnect fractions, decimals, percents, and proportional situations.
  9. 09Geometry & MeasurementFind area, volume, surface area, and missing dimensions.
  10. 10Statistics & DataDescribe distributions with center, spread, and data displays.
Choose your route

You do not have to study every chapter at once.

Starting sixth grade

Begin with ratios and rates

Work in order so fraction, decimal, and ratio skills are ready when algebra and geometry need them.

Begin chapter 1 →
Studying for a test

Jump to the exact topic

Read the chapter overview, copy the worked example, and try the short practice set before opening a worksheet.

Choose a chapter →
Finishing the course

Take the 20-question final

Test all ten chapters, see a topic-by-topic breakdown, and review a complete explanation for every answer.

Take the 6th Grade Math final →