Math Games for 6th Graders

Q: What math do 6th graders learn?

Common Core names four focus areas for grade 6: ratios and rates, dividing fractions and extending numbers to negative numbers, writing and using expressions and equations, and statistical thinking. These games cover the first three, plus area, surface area and volume, and Data & Graphs touches statistics with mean, median and mode.

Q: Which games cover expressions and equations?

Expressions & Substitution (function machines and algebra tiles), Parentheses: Expand & Factor (area models), Equations & Balance (a balance scale) and Inequalities (number lines) match the grade 6 standards on expressions, equations and inequalities.

Q: Are these math games free, and do students need an account?

Yes, they are free. Students do not need an account, a download or an email address: open the link in a browser on a Chromebook, tablet, laptop or phone and play.

Q: How do the levels, missions and stars work?

Most games have three levels, so a student can start easy and move up: a free play mode where nothing can go wrong, missions that award up to 3 stars, and a short timed challenge with no penalties.

Free math games for 11- and 12-year-olds: ratios, negative numbers, expressions, equations and area.

🆓 Free🚫 No sign-up📱 Works on phones⭐ Earn stars

Quick answer

These 22 free math games for 6th graders practice ratios, negative numbers, expressions and equations, inequalities, area, surface area and volume. Students mix paint in ratios, read thermometers below zero, balance equations on a scale and unfold boxes into nets. Every game works on Chromebooks, tablets and phones, with no sign-up.

Counting & number sense

Negative NumbersThermometers, elevators and chips that cancel in zero pairs.Grades 6–7Play →

Add, subtract, multiply & divide

Factors, Primes & Even/OddRectangles, factor trees, the sieve of Eratosthenes and number detectives.Grades 4–6Play → GCF & LCMVenn diagrams and hopping frogs for common factors and multiples.Grade 6Play → Tape Diagrams & Bar ModelsBuild tape diagrams, model read-aloud word problems with parts, times as many, fractions and ratios, and race quick models.Grades 2–6Play → Order of OperationsSolve expressions one step at a time and make the target number.Grades 5–6Play →

Fractions, decimals & percent

Decimals & PercentTenths, hundredths and percent on a 10 by 10 grid.Grades 4–6Play → Fraction OperationsAdd, subtract, multiply and divide fractions with bars and pictures.Grades 4–6Play →

Ratio & rates

Ratio & ProportionMix paint, scale recipes and share in a ratio.Grades 6–7Play → Speed, Distance & TimeRace along a track and use the speed-distance-time triangle.Grades 6–8Play →

Shapes & geometry

3D ShapesSpin solids, count faces, edges and corners, and fold nets.Grades K–6Play → VolumeStack cubes into boxes, use length × width × height and turn cm³ into liters.Grades 5–7Play → Coordinate GridPlot (x, y) points, hunt for treasure and reflect points.Grades 5–6Play → Triangle & Parallelogram AreaDrag a corner, cut and slide shapes into rectangles and see why a triangle is half.Grades 6–7Play → Surface AreaUnfold boxes into nets and add up every face to find the paper you need.Grades 6–7Play → TessellationsTile a floor with no gaps and find out which shapes fit together.Grades 2–6Play →

Data & probability

Data & GraphsTally, bar graphs, line graphs, mean, median and mode.Grades 2–6Play →

Patterns & algebra

Equations & BalanceKeep the scale balanced and find the mystery weight x.Grades 6–8Play → InequalitiesCrocodile symbols, open and closed circles on a number line.Grades 6–7Play → Parentheses: Expand & FactorUse area models to expand parentheses and factor.Grades 6–8Play → Expressions & SubstitutionFunction machines, algebra tiles and swapping letters for numbers.Grades 6–7Play → Sequences & nth TermSpot the jump in a pattern and write the rule for any term.Grades 4–8Play → Math PuzzlesSolve Calcudoku, sudoku, magic squares and number pyramids, help Zayn in read-aloud missions and race mini puzzles.Grades 2–6Play →

What 6th graders practice in these games

These are the Common Core State Standards for grade 6 that the games above practice, quoted from thecorestandards.org. Each one links to the games where students work on it.

6.EE.A.2 Write, read, and evaluate expressions in which letters stand for numbers.Practiced in: Expressions & Substitution
6.EE.A.3 Apply the properties of operations to generate equivalent expressions. For example, apply the distributive property to the expression 3 (2 + x) to produce the equivalent expression 6 + 3x; apply the distributive property to the expression 24x + 18y to produce the equivalent expression 6 (4x + 3y); apply properties of operations to y + y + y to produce the equivalent expression 3y.Practiced in: Parentheses: Expand & Factor
6.EE.B.5 Understand 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.Practiced in: Inequalities
6.EE.B.7 Solve real-world and mathematical problems by writing and solving equations of the form x + p = q and px = q for cases in which p, q and x are all nonnegative rational numbers.Practiced in: Equations & Balance
6.EE.B.8 Write an inequality of the form x > c or x < c to represent a constraint or condition in a real-world or mathematical problem. Recognize that inequalities of the form x > c or x < c have infinitely many solutions; represent solutions of such inequalities on number line diagrams.Practiced in: Inequalities
6.G.A.1 Find the area of right triangles, other triangles, special quadrilaterals, and polygons by composing into rectangles or decomposing into triangles and other shapes; apply these techniques in the context of solving real-world and mathematical problems.Practiced in: Triangle & Parallelogram Area
6.G.A.2 Find the volume of a right rectangular prism with fractional edge lengths by packing it with unit cubes of the appropriate unit fraction edge lengths, and show that the volume is the same as would be found by multiplying the edge lengths of the prism. Apply the formulas V = l w h and V = b h to find volumes of right rectangular prisms with fractional edge lengths in the context of solving real-world and mathematical problems.Practiced in: Volume
6.G.A.4 Represent 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.Practiced in: 3D Shapes, Surface Area
6.NS.B.4 Find the greatest common factor of two whole numbers less than or equal to 100 and the least common multiple of two whole numbers less than or equal to 12. Use the distributive property to express a sum of two whole numbers 1-100 with a common factor as a multiple of a sum of two whole numbers with no common factor. For example, express 36 + 8 as 4 (9 + 2).Practiced in: Factors, Primes & Even/Odd, GCF & LCM
6.NS.C.5 Understand that positive and negative numbers are used together to describe quantities having opposite directions or values (e.g., temperature above/below zero, elevation above/below sea level, credits/debits, positive/negative electric charge); use positive and negative numbers to represent quantities in real-world contexts, explaining the meaning of 0 in each situation.Practiced in: Negative Numbers
6.NS.C.6 Understand a rational number as a point on the number line. Extend number line diagrams and coordinate axes familiar from previous grades to represent points on the line and in the plane with negative number coordinates.Practiced in: Negative Numbers, Coordinate Grid
6.RP.A.1 Understand the concept of a ratio and use ratio language to describe a ratio relationship between two quantities. For example, "The ratio of wings to beaks in the bird house at the zoo was 2:1, because for every 2 wings there was 1 beak." "For every vote candidate A received, candidate C received nearly three votes."Practiced in: Ratio & Proportion
6.RP.A.3 Use ratio and rate reasoning to solve real-world and mathematical problems, e.g., by reasoning about tables of equivalent ratios, tape diagrams, double number line diagrams, or equations.Practiced in: Tape Diagrams & Bar Models, Ratio & Proportion, Speed, Distance & Time

How to use these games in class

🚀 Starter (5 minutes)

Project Ratio & Proportion and mix paint in a 2 to 3 ratio. Ask the class how the mix changes if you double both colors.

🧩 Station (10–15 minutes)

Pairs solve the balance puzzles in Equations & Balance and explain each step as "do the same to both sides."

🏠 Homework

Send the Surface Area link home. Students unfold a box into a net and add up every face to find the paper needed.

Questions teachers and parents ask

What math do 6th graders learn?

Common Core names four focus areas for grade 6: ratios and rates, dividing fractions and extending numbers to negative numbers, writing and using expressions and equations, and statistical thinking. These games cover the first three, plus area, surface area and volume, and Data & Graphs touches statistics with mean, median and mode.

Which games cover expressions and equations?

Expressions & Substitution (function machines and algebra tiles), Parentheses: Expand & Factor (area models), Equations & Balance (a balance scale) and Inequalities (number lines) match the grade 6 standards on expressions, equations and inequalities.

Are these math games free, and do students need an account?

Yes, they are free. Students do not need an account, a download or an email address: open the link in a browser on a Chromebook, tablet, laptop or phone and play.

How do the levels, missions and stars work?

Most games have three levels, so a student can start easy and move up: a free play mode where nothing can go wrong, missions that award up to 3 stars, and a short timed challenge with no penalties.

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Last updated: November 12, 2026. Standards are quoted from the Common Core State Standards for Mathematics.