Sixth grade is the year math becomes algebra-ready. Students use ratios and rates, divide fractions by fractions, work with negative numbers for the first time, and begin to write and solve equations with a variable. These 6th grade math worksheets, also called sixth grade math worksheets or grade 6 math worksheets, are printable PDFs with answer keys for each of those skills, plus a generator for fresh problems.
Quick answer: 6th grade math worksheets cover ratios and rates, the number system (fractions, decimals, integers and the coordinate plane), expressions and equations, geometry and statistics. This page has over 70 free printable 6th grade math worksheets with answer keys on order of operations, integers, percents, ratios and one-step equations, plus free calculators and a worksheet generator. Updated October 2026.
Ready-to-print 6th grade math worksheets (PDF)
Five popular 6th grade math worksheets as finished PDFs with answer keys. Customize loads a worksheet topic into the generator for a fresh set of numbers.
6th grade math worksheets by topic
These are the 6th grade math worksheets on this site now. Press Customize on any PDF to load it into the generator and make a new set of numbers.
86 free math worksheets for grade 6 across 15 topics, each with an answer key.
Order of operations worksheets for grade 6
All order of operations worksheets →
Integers worksheets for grade 6
All integers worksheets →
Percents worksheets for grade 6
All percents worksheets →
Ratios and proportions worksheets for grade 6
All ratios and proportions worksheets →
One-step equations worksheets for grade 6
All one-step equations worksheets →
Dividing fractions worksheets for grade 6
All dividing fractions worksheets →
Decimal multiplication worksheets for grade 6
All decimal multiplication worksheets →
Dividing decimals worksheets for grade 6
All dividing decimals worksheets →
Exponents worksheets for grade 6
All exponents worksheets →
Square roots worksheets for grade 6
All square roots worksheets →
Mean, median and mode worksheets for grade 6
All mean, median and mode worksheets →
Algebra worksheets for grade 6
All algebra worksheets →
GCF and LCM worksheets for grade 6
All gcf and lcm worksheets →
Adding and subtracting fractions worksheets for grade 6
All adding and subtracting fractions worksheets →
Multiplying fractions worksheets for grade 6
All multiplying fractions worksheets →
What 6th graders learn in math
The Common Core grade 6 math standards group the year into five domains. The table shows each one and where to practice it:
| Domain | What students do | Practice here |
|---|---|---|
| Ratios and proportional relationships (6.RP) | Understand ratios, unit rates and percent as a rate per 100 | Ratios and proportions |
| The number system (6.NS) | Divide fractions by fractions, find the GCF and LCM, and work with negative numbers and the coordinate plane | Integers, Coordinate plane, Number line |
| Expressions and equations (6.EE) | Use exponents, write and evaluate expressions, and solve one-step equations | Order of operations, One-step equations |
| Geometry (6.G) | Find the area of triangles and polygons and the volume of prisms | Area calculator, Volume calculator |
| Statistics and probability (6.SP) | Describe data with the mean, median and mode and show it in dot plots and histograms | Mean, median and mode calculator |
Ratios and rates: equivalent ratios and unit rates
A ratio compares two quantities, such as 3 : 4. Multiplying both numbers by the same factor gives an equivalent ratio, which is the idea behind a ratio table. Here are three ratios multiplied by 1 to 6:
| Ratio | × 1 | × 2 | × 3 | × 4 | × 5 | × 6 |
|---|---|---|---|---|---|---|
| 3 : 4 | 3 : 4 | 6 : 8 | 9 : 12 | 12 : 16 | 15 : 20 | 18 : 24 |
| 5 : 6 | 5 : 6 | 10 : 12 | 15 : 18 | 20 : 24 | 25 : 30 | 30 : 36 |
| 2 : 7 | 2 : 7 | 4 : 14 | 6 : 21 | 8 : 28 | 10 : 35 | 12 : 42 |
A unit rate compares a quantity to one unit of another. Divide the first quantity by the second to find it:
| Situation | Unit rate |
|---|---|
| Walking 6 miles in 2 hours | 3 miles per hour |
| $7.50 for 5 notebooks | 1.50 dollars per notebook |
| 240 words in 4 minutes | 60 words per minute |
| 360 miles on 12 gallons | 30 miles per gallon |
Use the ratio calculator to check an answer, and print the ratios and proportions worksheets for more practice.
GCF and LCM: six pairs worked out
The greatest common factor is the largest number that divides both numbers, and the least common multiple is the smallest number that both divide into. For any two numbers, GCF × LCM equals their product, which is a handy check:
| Numbers | Greatest common factor (GCF) | Least common multiple (LCM) |
|---|---|---|
| 12 and 18 | 6 | 36 |
| 8 and 20 | 4 | 40 |
| 15 and 25 | 5 | 75 |
| 14 and 21 | 7 | 42 |
| 16 and 24 | 8 | 48 |
| 9 and 12 | 3 | 36 |
For 12 and 18, the GCF is 6 and the LCM is 36, and 6 × 36 = 216 = 12 × 18. The GCF and LCM calculator works out any pair and shows the steps.
Fractions, decimals and percents: a conversion chart
Percent means per hundred, so 3/4 is 75 out of 100, or 75%. To convert a fraction, divide the top by the bottom, then multiply by 100. This chart has ten fractions that come up again and again in 6th grade:
| Fraction | Decimal | Percent |
|---|---|---|
| 1/2 | 0.5 | 50% |
| 1/4 | 0.25 | 25% |
| 3/4 | 0.75 | 75% |
| 1/5 | 0.2 | 20% |
| 2/5 | 0.4 | 40% |
| 1/8 | 0.125 | 12.5% |
| 3/8 | 0.375 | 37.5% |
| 1/3 | 0.333… | 33.3% |
| 2/3 | 0.667… | 66.7% |
| 7/10 | 0.7 | 70% |
Print the percent worksheets for sheets that start from these conversions, and use the decimal to fraction calculator to turn any decimal into a fraction.
Mean, median and mode: one data set, five answers
Statistics in grade 6 describes the center and the spread of a data set. For the seven numbers 4, 7, 7, 8, 10, 12, 15, the answers are:
| Measure | How to find it | Answer |
|---|---|---|
| Mean | Add all values and divide by 7 (sum = 63) | 9 |
| Median | Middle value of the ordered list | 8 |
| Mode | Most common value | 7 |
| Range | Largest minus smallest | 11 |
| Mean absolute deviation | Average distance from the mean | 2.86 |
The mean, median and mode calculator checks your work, and the graphing worksheets turns data into a bar or picture graph.
Negative numbers and the coordinate plane
Grade 6 is where negative numbers become real numbers. Students place integers on a number line, compare them (−5 is less than −2), find absolute value and plot points in all four quadrants of the coordinate plane. A good first step is the number line, then the integer sheets for adding and subtracting with signs. Our coordinate plane page has mystery pictures that practice the four quadrants.
Sixth grade math worksheets and grade 6 math worksheets
Families and teachers use many names for the same collection: sixth grade math worksheets, grade 6 math worksheets, math worksheets for 6th graders and printable 6th grade math worksheets. All of them lead to the free PDFs on this page. Every sheet is a PDF for US Letter or A4, and 6th grade math worksheets with answers are what you get: each file ends with an answer key, so students can check their own work.
For 6th grade math practice that goes beyond a single sheet, use the Customize button to build a new set of problems for the same skill, or use the free calculators listed below. Reviewing 6th grade math in short sessions, one skill at a time, works better than long catch-up sessions before a test.
A weekly plan for 6th grade math
A common guideline is about 10 minutes of homework per grade level each night, or about an hour in 6th grade for all subjects, so the blocks below are part of the evening, not on top of it:
| Day | Focus | Suggested block |
|---|---|---|
| Monday | Ratios and rates: ratio and proportion worksheets | 20 min |
| Tuesday | Integers or the coordinate plane | 20 min |
| Wednesday | Order of operations or equations | 20 min |
| Thursday | Percents, fractions and decimals | 20 min |
| Weekly total | Four short sessions, with one free day | 80 min |
Free math calculators for 6th graders
A calculator is a good way to check homework, not to replace it. These free calculators match 6th grade topics and show the working:
| Calculator | Use it to |
|---|---|
| Ratio calculator | Simplify ratios and solve for a missing value |
| GCF and LCM calculator | Find factors and multiples |
| Fraction calculator | Add, subtract, multiply and divide fractions |
| Percentage calculator | Find a percent of a number or a percent change |
| Mean, median and mode calculator | Describe a data set |
| Area calculator | Area and perimeter of six shapes |
| Volume calculator | Volume of six 3D shapes |
Common mistakes in 6th grade math, and how to fix them
Most errors in grade 6 come from a handful of habits. Knowing them helps a parent or teacher spot the problem quickly:
| Mistake | Example | Fix |
|---|---|---|
| Flipping the wrong fraction when dividing | 1/2 ÷ 1/4 written as 2/1 × 1/4 = 1/2 | Keep the first fraction, flip the second: 1/2 × 4/1 = 2 |
| Ordering negative numbers by size of the digit | Thinking −7 is greater than −2 | Use a number line: numbers further left are smaller, so −7 < −2 |
| Writing a percent as the wrong decimal | 5% written as 0.5 | Divide by 100: 5% = 0.05 |
| Ignoring the order in a ratio | 3 boys to 4 girls written 4 : 3 | Write the quantities in the order the words give them: 3 : 4 |
| Doing operations left to right only | 2 + 3 × 4 = 20 | Multiply first: 2 + 12 = 14 |
| Mixing up the mean and the median | Calling the middle value the mean | Mean = total ÷ number of values; median = the middle value of the ordered list |
A 6th grade math skills checklist
Use this checklist at the start and end of the year. A child who can tick every line is ready for 7th grade:
- Write a ratio in three ways (3 to 4, 3 : 4, 3/4) and find an equivalent ratio.
- Find a unit rate, such as miles per hour or price per item.
- Divide a fraction by a fraction and explain why it works.
- Find the GCF and LCM of two numbers up to 100.
- Place positive and negative numbers on a number line and find their absolute value.
- Plot points in all four quadrants of the coordinate plane.
- Evaluate expressions with exponents and use the order of operations.
- Solve one-step equations such as x + 7 = 15 and 4x = 36.
- Find the area of a triangle and the volume of a rectangular prism.
- Find the mean, median, mode and range of a data set.
How to use these worksheets at home or in class
Start with a skill the class is working on, print one worksheet, and let the student work without help for the first half. Then check together with the answer key and look for a pattern in the mistakes, rather than only counting the correct answers. If the same kind of error appears three times, return to a worked example or a calculator, then print a fresh set from the generator.
Keep sessions short. For most students in grade 6, twenty focused minutes beat an hour of tired work. Finish with one or two problems that the student chooses, which keeps the session positive and shows what they feel confident about.
More 6th grade math topics
Each of these pages has its own free worksheets, answer keys and a maker for new problems:
- Multiplying fractions worksheets and dividing fractions worksheets
- Decimal multiplication worksheets and dividing decimals worksheets
- GCF and LCM worksheets
- Mean, median and mode worksheets and exponents worksheets
- Algebra worksheets for expressions
Frequently asked questions
4 quick answers
Where can I download free 6th grade math worksheets?
Open any worksheet in the list above, choose US Letter or A4, then print or save the PDF. All of them are free, with answer keys, and no account is needed.
What math do 6th graders learn?
Sixth graders learn ratios and unit rates, dividing fractions, negative numbers, the coordinate plane, exponents, writing and solving simple equations, area and volume, and statistics such as the mean and median.
How many 6th grade math worksheets should my child do?
Four short sessions of about 20 minutes a week is a steady pace, with one session each on ratios, integers, equations and percents or fractions.
Are these 6th grade math worksheets aligned to Common Core?
They practice the same skills as the Common Core grade 6 math domains: ratios, the number system, expressions and equations, geometry and statistics. Check your own state or district standards for the order.
More math worksheets
- 5th grade math worksheets for the year before.
- 7th grade math worksheets for the year after.
- The math worksheet generator for custom problem sets.
- Percent worksheets for ratios, percents and rates in more depth.