Math · 6th Grade (11-12)
Math exercises for 6th Grade (ages 11-12)
In 6th Grade (ages 11-12), kids strengthen number sense, place value, addition, subtraction, multiplication, fractions, geometry and measurement. The exercises below are curriculum-aligned so you can pick what to practise next.
162 exercises in this hub
What 6th Grade covers
Sixth grade consolidates primary maths and opens the door to secondary. Children work with integers beyond ten million and with negative numbers in real contexts, use square and cube numbers, and handle multi-step percentage problems involving increases, discounts and comparisons. Algebra becomes explicit: forming equations from word problems, substituting into formulas, and describing the rule of a linear sequence. Ratio and proportion get used for scaling recipes, maps and drawings. In statistics children calculate mean, median, mode and range and read pie charts, and in geometry they use angle facts and construct shapes accurately with a ruler and protractor.
Modules in this year
- Data & Statistics18 exercises
- Measurement18 exercises
- Geometry18 exercises
- Addition & Subtraction17 exercises
- Fractions15 exercises
- Decimals & Percentages15 exercises
- Number & Place Value12 exercises
- Ratio & Proportion12 exercises
- Algebra12 exercises
- Multiplication & Division9 exercises
- Powers & Roots6 exercises
Where children usually get stuck
Negative numbers going the wrong way
−7 feels bigger than −3 because 7 is bigger than 3. Temperature, floors below ground and bank balances give the ordering a physical meaning, which survives pressure better than a memorised rule about the number line.
Reading algebraic notation
In 2n the multiplication sign is invisible, and children often read it as a two-digit number or as 2 + n. Being explicit that 2n means 2 × n, every time, for a few weeks, prevents a misconception that is expensive to fix later.
Percentage increase and decrease
Finding 20% of a number is straightforward; deciding whether the answer should then be added, subtracted or used as it stands is where multi-step percentage problems are lost. Ask what the question is actually asking for before any calculation starts.
How to practise at home
- 1
Ten minutes, most days
Short and frequent beats long and occasional, especially for number facts. Ten focused minutes after school, four or five days a week, will do more for a 6th Grade child's fluency than an hour at the weekend — and it is far easier to keep going.
- 2
Ask for the method, not the answer
"How did you work that out?" is the single most useful question you can ask, and it is worth asking when the answer is right as well as when it is wrong. It shows you whether a correct answer came from understanding or from a lucky guess.
- 3
Use the kitchen and the shop
Doubling a recipe, working out change, reading a scale, timing something — these are the same skills the worksheets cover, with the advantage that they obviously matter. A child who resists a page of sums will often happily work out whether there is enough money.
Prefer it on paper?
Open a free printable worksheet for 6th Grade, with a full answer key and no account needed.
Featured exercises
Coordinate Plane
Level 410 minFraction Multiplication
Level 410 minStatistics Intro
Level 410 minAlgebra Basics
Level 410 minVolume
Level 410 minReading Charts & Graphs (Ex. 1)
Level 510 minArea of Triangles & Parallelograms (Ex. 2)
Level 510 minSubstitution into Expressions (Ex. 3)
Level 510 minAlgebraic Expressions & Formulas (Ex. 3)
Level 510 minReflections & Translations (Ex. 2)
Level 510 minMental vs Written Methods (Ex. 3)
Level 510 minMetric and Imperial Conversions (Ex. 1)
Level 510 minFractions, Decimals & Percentages (Ex. 3)
Level 510 minWritten Division with Remainders (Ex. 2)
Level 512 minConverting Metric Units (Ex. 2)
Level 510 minComparing Data from Two Graphs (Ex. 3)
Level 510 minLarge Addition Across Millions (Ex. 5)
Level 512 minPerimeter & Area of Compound Shapes (Ex. 3)
Level 510 minMeasuring & Constructing Shapes (Ex. 2)
Level 510 minCube Numbers & Cube Roots (Ex. 3)
Level 510 min
Common questions
- What maths should a 6th Grade child know?
- The modules listed on this page are the standard objectives for 6th Grade (11-12) — they are what most primary curricula expect a child to cover during the year. Children move through them at genuinely different speeds, so treat the list as the shape of the year rather than a checklist with a deadline.
- How much practice is enough?
- For most children at this age, ten to fifteen minutes on most days is plenty. Regularity matters much more than volume: short sessions keep number facts fresh and keep maths from becoming something that only happens when there is a problem.
- Are these exercises free?
- You can browse every module on this page and open a free printable worksheet with an answer key without creating an account. A free account adds the full exercise library, progress tracking, and the ability to assign specific practice to your kids.
- Do these follow the school curriculum?
- The exercises are mapped to standard primary objectives for each year and grouped into the modules shown above. They are written to sit alongside most national curricula rather than to follow one country's exact sequence, so the topics will match even where the ordering differs.