Seventh grade math is about proportional thinking. Students use ratios and percents to solve real problems, add, subtract, multiply and divide positive and negative numbers, simplify expressions and solve two-step equations. These 7th grade math worksheets, also called seventh grade math worksheets or grade 7 math worksheets, give you printable PDFs with answer keys for each of those skills.
Quick answer: 7th grade math worksheets cover proportional relationships and percent, operations with rational numbers, expressions and equations, geometry and probability. This page has over 50 free printable 7th grade math worksheets with answer keys on integers, percents, ratios and proportions, and one-step and two-step equations, plus free calculators. Updated October 2026.
Ready-to-print 7th grade math worksheets (PDF)
Five popular 7th grade math worksheets as finished PDFs with answer keys. Customize loads a worksheet topic into the generator for a fresh set of numbers.
7th grade math worksheets by topic
These are the 7th 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.
62 free math worksheets for grade 7 across 11 topics, each with an answer key.
Integers worksheets for grade 7
All integers worksheets →
Percents worksheets for grade 7
All percents worksheets →
Ratios and proportions worksheets for grade 7
All ratios and proportions worksheets →
One-step equations worksheets for grade 7
All one-step equations worksheets →
Two-step equations worksheets for grade 7
All two-step equations worksheets →
Square roots worksheets for grade 7
All square roots worksheets →
Multi-step equations worksheets for grade 7
All multi-step equations worksheets →
Probability worksheets for grade 7
All probability worksheets →
Algebra worksheets for grade 7
All algebra worksheets →
Mean, median and mode worksheets for grade 7
All mean, median and mode worksheets →
Order of operations worksheets for grade 7
All order of operations worksheets →
What 7th graders learn in math
The Common Core grade 7 math standards group the year into five domains:
| Domain | What students do | Practice here |
|---|---|---|
| Ratios and proportional relationships (7.RP) | Find unit rates, solve proportions and solve percent problems such as tax, discount, tip and percent change | Ratios and proportions, Percents |
| The number system (7.NS) | Add, subtract, multiply and divide rational numbers, including negative fractions and decimals | Integers |
| Expressions and equations (7.EE) | Simplify expressions, solve two-step equations and inequalities | One-step equations, Two-step equations |
| Geometry (7.G) | Scale drawings, circles, angles, area, surface area and volume | Area calculator, Volume calculator |
| Statistics and probability (7.SP) | Sampling, comparing populations and finding the probability of simple and compound events | Mean, median and mode calculator |
Percent change, discount and tax: four worked examples
Percent change is the change divided by the original amount, times 100. A positive answer is an increase and a negative answer is a decrease. Discount works the other way: multiply the price by one minus the discount rate.
| Situation | Calculation | Answer |
|---|---|---|
| A jacket goes from $80 to $92 | (92 − 80) ÷ 80 × 100 | +15% |
| A game score goes from 50 to 42 | (42 − 50) ÷ 50 × 100 | −16% |
| A $24 shirt is 25% off | Sale price = 24 × (1 − 0.25) | $18.00 |
| A phone plan goes from $35 to $42 | (42 − 35) ÷ 35 × 100 | +20% |
Check these with the percentage calculator or the discount, tax and tip calculator, and print the percent worksheets for more practice.
Proportional relationships: unit rate and the equation y = kx
In a proportional relationship, y is always the same multiple of x. That multiple, k, is the constant of proportionality, or unit rate. Here are three situations with the unit rate and the equation:
| Situation | Constant of proportionality | Equation |
|---|---|---|
| A car travels 150 miles in 3 hours | 50 miles per hour | d = 50t |
| A worker earns $96 in 8 hours | 12 dollars per hour | e = 12h |
| A faucet fills 45 liters in 9 minutes | 5 liters per minute | v = 5m |
The same idea is in the ratios and proportions worksheets: if 3 pens cost $4.50, then the unit price is $1.50 and 7 pens cost $10.50.
Rational number operations: eight examples
Grade 7 extends the rules for integers to all rational numbers, including fractions and decimals. Same signs add; different signs subtract the sizes and keep the sign of the larger; subtracting means adding the opposite; and multiplying or dividing two numbers with the same sign gives a positive answer.
| Problem | Answer |
|---|---|
| −8 + 5 | −3 |
| −3 − (−9) | 6 |
| −4 × 6 | −24 |
| −36 ÷ (−9) | 4 |
| 7 − 12 | −5 |
| −2.5 + 4.75 | 2.25 |
| −1/2 + 3/4 | 1/4 |
| (−3) × (−5) | 15 |
Print the integer worksheets for sheets on these rules.
Probability: rolling two dice
The probability of an event is the number of outcomes that match it divided by the number of all possible outcomes. When you roll two dice there are 6 × 6 = 36 equally likely outcomes. The table shows how many produce each sum:
| Sum of two dice | Ways to roll it (out of 36) | Probability |
|---|---|---|
| 2 | 1 | 1/36 = 2.8% |
| 3 | 2 | 2/36 = 5.6% |
| 4 | 3 | 3/36 = 8.3% |
| 5 | 4 | 4/36 = 11.1% |
| 6 | 5 | 5/36 = 13.9% |
| 7 | 6 | 6/36 = 16.7% |
| 8 | 5 | 5/36 = 13.9% |
| 9 | 4 | 4/36 = 11.1% |
| 10 | 3 | 3/36 = 8.3% |
| 11 | 2 | 2/36 = 5.6% |
| 12 | 1 | 1/36 = 2.8% |
A sum of 7 is the most likely, with 6 ways out of 36 (one sixth), while 2 and 12 each have only one way.
Seventh grade math worksheets and grade 7 math worksheets
Families and teachers use many names for the same collection: seventh grade math worksheets, grade 7 math worksheets, math worksheets for 7th graders and printable 7th 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 7th grade math worksheets with answers are what you get: each file ends with an answer key, so students can check their own work.
For 7th 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. Practicing 7th grade math in short sessions, one skill at a time, works better than long catch-up sessions before a test.
A weekly plan for 7th grade math
A common guideline is about 10 minutes of homework per grade level each night, or about 70 minutes in 7th grade for all subjects, so the blocks below are part of the evening:
| Day | Focus | Suggested block |
|---|---|---|
| Monday | Percents: percent worksheets | 20 min |
| Tuesday | Ratios and proportions | 20 min |
| Wednesday | Integers and rational numbers | 20 min |
| Thursday | Equations: one-step and two-step | 20 min |
| Weekly total | Four short sessions, with one free day | 80 min |
Free math calculators for 7th graders
Use these calculators to check homework and see the steps:
| Calculator | Use it to |
|---|---|
| Percentage calculator | Percent of a number and percent change |
| Discount, tax and tip calculator | Sale prices, sales tax and tips |
| Simple interest calculator | Interest, principal, rate and time |
| Ratio calculator | Proportions and unit rates |
| Fraction calculator | Operations with fractions |
| Area calculator | Area and perimeter, circles included |
| Volume calculator | Prisms and cylinders |
Common mistakes in 7th grade math, and how to fix them
Most errors in grade 7 come from a handful of habits. Knowing them helps a parent or teacher spot the problem quickly:
| Mistake | Example | Fix |
|---|---|---|
| Subtracting a negative as a negative | 5 − (−3) = 2 | Subtracting means adding the opposite: 5 + 3 = 8 |
| Using the new amount as the base for percent change | From 80 to 92 written as 12 ÷ 92 | Divide by the original amount: 12 ÷ 80 = 15% |
| Thinking every table is proportional | x: 1, 2, 3 and y: 3, 5, 7 | Check that y ÷ x is constant; here it is not (3, 2.5, 2.33) |
| Undoing in the wrong order | 2x + 3 = 11 solved by dividing by 2 first | Undo addition first: 2x = 8, then x = 4 |
| Adding denominators in probability | 1/6 + 1/6 written as 2/12 | Keep the denominator: 1/6 + 1/6 = 2/6 = 1/3 |
| Forgetting that a negative times a negative is positive | (−4) × (−3) = −12 | Same signs give a positive: 12 |
A 7th 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 8th grade:
- Find a unit rate and the constant of proportionality from a table or a graph.
- Solve a proportion such as 3/4 = x/20.
- Solve percent problems: tax, tip, discount, markup and percent change.
- Add, subtract, multiply and divide positive and negative fractions and decimals.
- Simplify expressions with like terms and the distributive property.
- Solve two-step equations such as 3x − 5 = 16.
- Find the circumference and area of a circle.
- Find the volume and surface area of prisms.
- Find the probability of a simple event and of a compound event.
- Compare two data sets using the mean and the spread.
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. A repeated sign error, for example, points to a rule that needs another look.
Seventh grade is a good time to build the habit of checking an answer. Percent problems can be checked by estimating (10% of 80 is 8), equations by substituting the answer back into the original, and proportions by comparing unit rates. Ask the student to show the check on paper for one problem per page.
More 7th grade math topics
Each of these pages has its own free worksheets, answer keys and a maker for new problems:
- Probability worksheets and mean, median and mode worksheets
- Multi-step equations worksheets
- Algebra worksheets for expressions
- Adding and subtracting fractions worksheets and decimal multiplication worksheets
Frequently asked questions
4 quick answers
Where can I download free 7th 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 7th graders learn?
Seventh graders learn proportional relationships, percent problems, operations with positive and negative rational numbers, two-step equations, scale drawings, circles and volume, and probability.
What is the difference between 6th and 7th grade math?
Sixth grade introduces ratios, negative numbers and one-step equations. Seventh grade uses them: proportions and percent problems, all four operations with rational numbers and two-step equations.
How many 7th grade math worksheets should my child do?
Four sessions of about 20 minutes a week is a steady pace, with one each on percents, ratios, integers and equations.
More math worksheets
- 6th grade math worksheets for the year before.
- 8th grade math worksheets for the year after.
- The math worksheet generator for custom problem sets.