Free Math for 11-Year-Olds
Eleven-year-olds are usually in sixth grade — the first year of middle school in most US districts and the bridge to formal algebra. Sixth graders extend everything they learned in elementary math: ratios and proportions, negative numbers, long division with two-digit divisors, all four operations on fractions and decimals, and the foundations of expressions and equations. This worksheet generator is preset to hard long division (3-digit ÷ 2-digit), one of the year's more challenging procedures. Rotate through the operations as the school year progresses — sixth grade is less about learning new arithmetic and more about making every arithmetic skill automatic enough to survive middle-school word problems. Mixed practice is better than blocked practice at this age.
How to use this worksheet with an 11-year-old
Start with long division, hard
Hard is 3-digit ÷ 2-digit. This is where estimation becomes essential — your child will need to guess quotients and adjust.
Rotate through all operations weekly
Generate a mixed set: long division, fractions, geometry, multi-digit multiplication. Mixing feels harder but builds durable fluency.
Focus on word problems
Sixth grade is heavy on word problems. After each worksheet, write out one word problem that uses the same operation in context.
Build daily habits, not cramming
Twenty minutes a day is the sweet spot. If school already assigns enough practice, cut this in half.
Frequently asked questions
What math should an 11-year-old know?
Sixth graders should be fluent in all four operations on multi-digit numbers, fractions, and decimals; understand ratios, rates, and percents; work with negative numbers on a number line; compute area and perimeter of irregular shapes; solve one-variable equations; and translate word problems into expressions. They also start basic statistics (mean, median, mode) and data displays.
How is sixth grade different from fifth grade?
The big shift is from computation to reasoning. Fifth grade is about learning how to do long division, fraction operations, and decimals. Sixth grade expects those to already work and layers on ratios, negative numbers, and the early language of algebra. Kids who aren't fluent with fifth-grade skills struggle all year.
Is sixth grade pre-algebra?
Sort of. Many curricula call sixth grade 'pre-algebra' because it introduces variables, simple equations, and ratios — the grammar of algebra. But it's not yet a full pre-algebra course in the way seventh grade is.
What if my sixth grader is still struggling with fractions?
Go back to basics. Fraction fluency is non-negotiable for seventh-grade algebra, so if sixth grade is shaky, spend focused time on fractions before moving on. Visual models (pie charts, fraction bars) still help at this age — don't skip them just because they feel like elementary tools.
Should my child use a calculator in sixth grade?
Use it for checking answers and for problems where the arithmetic isn't the point, not for routine practice. Sixth graders still need hand fluency with the four operations, fractions, and decimals.