Grade 7 Math Games (Ages 12–13)
Play Grade 7 GamesSeventh grade is where middle school math turns into real algebra. The headline topics are all four operations with integers and rational numbers (including the sign rules), proportional relationships and the constant of proportionality, percent chains like a discount followed by tax, solving equations and inequalities with variables on both sides, circle area and surface area, compound probability, and comparing populations with box plots and samples.
What trips students up in grade 7 is that nothing is isolated any more: a percent problem needs fractions, an equation needs negative numbers, a geometry problem needs an equation. Games help because every move is checked the instant it is made, so a dropped negative sign or a flipped inequality is caught at the step instead of surfacing three problems later, and each abstract rule stays attached to a number line, a graph or a picture.
The games below are grouped by topic and ordered easiest-first; the integers, ratios and percent, and algebra lists are the heart of the grade 7 experience, with geometry, probability and data close behind. Everything runs free in the browser with no ads and no sign-up — and if a topic feels wobbly, the grade 6 page is one click back.
Arithmetic
- Rational RankerGrade 7Slide flags labelled −3/4, 0.6 and −1 1/2 along one number line to their exact spots — placing them IS ordering them, and the tolerance tightens every level.
- Long Division Decimal DockGrade 7Bring down zeros and set each quotient digit to turn a fraction into a decimal — remainder 0 ends it, and a remainder that comes back lights up the repeat block.
- Rational RoverGrade 7Drive a rover one signed jump card at a time — negative fractions and decimals, left and right across zero — so the sum is simply where it stops.
- Sign Switch StationGrade 7Stack signed jumps from 0 and throw the REVERSE switch for a negative multiplier — the pod lands on the product, and two reversals face forward again, so (−)(−) = (+).
- Signed Order OpsGrades 7–8Tap operation chips to collapse an expression with negatives, exponents and nested parentheses in any order you like — a wrong order leaves a visibly wrong value, and LOCK IN checks the final number.
Money & Finance
- Interest IslandGrade 7Dial the rate and the years and watch a principal bar grow one yearly interest block at a time to the target line, extend or cut a price bar by a markup or markdown percent, and set the percent error of an estimate against the actual bar.
- Multiplier ChainGrades 7–8Tap multiplier chips onto a price bar — 20% off then 8% tax is ×0.8 ×1.08 — dial the single percent a chain equals, and chain ÷ chips to walk a final price back to the original.
Ratios & Rates
- Constant K CoveGrade 7Tilt one line through the origin until every table point sits on it — the handle at x = 1 reads k, y = kx, and a non-proportional decoy visibly refuses to line up.
- Unit Rate Fraction ForgeGrade 7Drag the tick on a double number line until the time reads 1 hour and dial what ½ mile stretched into — unit rates from ratios of fractions.
Geometry & Shapes
- Polygon Angle PlazaGrades 7–8Drag diagonals out of one vertex to fan a polygon into 180° triangles and dial the interior sum, then walk the exterior angles round a 360° gauge to find the missing turn.
- Angle Equation ArenaGrades 7–8Dial x (or drag a ray) until angles labelled (2x + 10)° and (3x − 5)° actually obey their vertical, straight-line or right-angle rule — the equation assembles itself under the diagram.
- Cross-Section StationGrade 7Slide a cutting plane through prisms, pyramids, cylinders and cones and build the 2D slice it leaves — pick the outline and set its lengths on a bench — or turn and slide the plane until the live slice matches a target.
- Pi PizzeriaGrade 7Slice a pizza into sectors, stand them in a row, and box the shape — the box only fits at height r and base πr, so area = πr² appears; then size pizzas to area orders and crust ribbons to 2πr.
- Triangle BuilderGrade 7Swing two hinged sides until their tips meet — or show they never can — then bound the third side with reach-arcs and count how many triangles an angle-side-side condition really fits.
Coordinates & Algebra
- Both Sides BalanceGrades 7–8Tap tiles to strip the same x-tiles and unit tiles off both pans of a balance, cancel red −1 tiles with zero pairs, then split what remains so x stands alone — or load a different pan that balances at a given x.
- Expression ExchangeGrade 7Stretch one bar to match a stacked p + 0.05p, re-stack 6p + 9 into its greatest number of equal rows, and lay a(bp + c) flat — the length and tile count ARE the coefficients.
- Inequality EngineGrade 7Undo each operation on both sides of a two-step inequality, flip the symbol when you divide by a negative, then drag the endpoint, set it open or closed and shade the solution set on the number line.
Data & Probability
- Box Plot BuilderGrade 7Drag five flags — min, Q1, median, Q3, max — along a number line under a dot plot so the box and whiskers draw themselves, then read IQR and compare two box plots.
- Compound Chance CaféGrade 7Tap cells of the two-device outcome grid to shade a compound event — AND, OR, NOT — and read its probability as shaded over total, then predict how many of N trials will hit and watch the simulation land.
- Pie Chart PlazaGrade 7Drag sector boundaries around a degree-marked circle so each slice is its percent of 360°, read a sector's percent from its angle, and turn a percent of a total into a count.
- Sample ScoutGrades 7–8Draw a random sample from a jar of numbered beads, watch it land on a dot plot, then drag the mean marker to where the data balances, set the ±MAD band, and compare two jars' samples.
- Spinner DesignerGrade 7Drag the sector handles around a ticked rim so the spinner's sector shares match a target probability, predict counts for N spins, and rebuild a model from observed frequencies.
Measurement
- Scale Area ScoutGrades 7–8Stretch a copy by a scale factor k and watch it tile with k × k copies of the original (or stack k × k × k cubes) — lengths scale by k, areas by k², volumes by k³.
- Composite Area AtlasGrade 7Tap scissor rails to cut an L, T, U, house or barn plot into rectangles, triangles and trapezoids, set each piece's area, and watch the total add up — or fill a notch and subtract it.
- Conversion ChainGrades 7–8Tap unit-factor cards onto a chain and flip them so every unwanted unit appears top and bottom and cancels — what survives is the converted answer, from km/h to m/s.
- Surface WrapGrade 7Unfold a box or triangular prism into its net and tile each face by tapping the two edge lengths that bound it — the areas add up to the surface area on screen.
Common Questions
What math should a 7th grader know?
Grade 7 standards center on operations with integers and rational numbers, proportional relationships and unit rates with fractions, multi-step percent problems (discount, tax, markup, simple interest, percent error), equivalent expressions, two-step equations and inequalities, scale drawings, circle area and surface area, probability of compound events, and comparing data sets with box plots and sampling.
How do I help my child with negative numbers and integers?
Start on the number line, where adding a negative is a step left and subtracting a negative is a step back to the right, then connect it to contexts like temperature, debt and elevation. Only after that introduce the sign rules for multiplying and dividing, as patterns your child can verify rather than memorize. The integer and rational-number games below practice exactly that progression.
Are these games challenging enough for a 7th grader?
Yes — the grade 7 lists include equations with variables on both sides, two-step inequalities, percent chains, repeating decimals and compound probability, and every game ramps its difficulty as your child succeeds. Strong students can start mid-list and let the ramps push, and nothing here is babyish.
Is there a cost or sign-up?
No — every game on KidsDoMath is completely free, with no ads, no account and no in-app purchases. They run in the browser on any device, and progress is saved on your device only.
Math Games for Other Grades
Kindergarten · Grade 1 · Grade 2 · Grade 3 · Grade 4 · Grade 5 · Grade 6 · Grade 8