Eighth grade math is where algebra and geometry meet. Students solve linear equations, graph lines and find slope, work with exponents and scientific notation, compare functions, and use the Pythagorean theorem. These 8th grade math worksheets, also called eighth grade math worksheets or grade 8 math worksheets, give you printable practice with answer keys, plus worked examples and calculators for the skills below.
Quick answer: 8th grade math worksheets cover equations and expressions (linear equations, exponents, scientific notation), functions (slope and linear relationships), geometry (the Pythagorean theorem, transformations, volume) and statistics (scatter plots). This page has free printable 8th grade math worksheets with answer keys for exponents, scientific notation, square roots, the Pythagorean theorem, slope and equations, plus worked examples and free calculators for each domain. Updated October 2026.
Ready-to-print 8th grade math worksheets (PDF)
Six popular 8th grade math worksheets on exponents, scientific notation, square roots, the Pythagorean theorem, slope and multi-step equations, as finished PDFs with answer keys. Customize loads the topic into the generator for a fresh set of numbers.
8th grade math worksheets by topic
These are the 8th 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. For earlier equation practice, the one-step equations and integer pages go from one-step to two-step problems.
46 free math worksheets for grade 8 across 8 topics, each with an answer key.
Two-step equations worksheets for grade 8
All two-step equations worksheets →
Scientific notation worksheets for grade 8
All scientific notation worksheets →
Pythagorean theorem worksheets for grade 8
All pythagorean theorem worksheets →
Slope worksheets for grade 8
All slope worksheets →
Multi-step equations worksheets for grade 8
All multi-step equations worksheets →
Exponents worksheets for grade 8
All exponents worksheets →
Square roots worksheets for grade 8
All square roots worksheets →
Algebra worksheets for grade 8
All algebra worksheets →
What 8th graders learn in math
The Common Core grade 8 math standards group the year into five domains:
| Domain | What students do | Practice here |
|---|---|---|
| The number system (8.NS) | Know that some numbers are irrational and approximate square roots | Square root worksheets, Scientific notation calculator |
| Expressions and equations (8.EE) | Use integer exponents, scientific notation, slope, linear equations and systems of equations | Exponents, Scientific notation, Multi-step equations, Graph paper with x and y axes |
| Functions (8.F) | Define, compare and graph linear functions | Slope worksheets, Coordinate plane |
| Geometry (8.G) | Transformations, congruence and similarity, the Pythagorean theorem, and volume of cylinders, cones and spheres | Pythagorean theorem worksheets, Volume calculator |
| Statistics and probability (8.SP) | Scatter plots, lines of best fit and two-way tables | Graphing worksheets |
Exponents and scientific notation
Scientific notation writes a number as a number from 1 up to 10 times a power of 10. Move the decimal point until one non-zero digit is in front of it, and count the places you moved: left is a positive exponent, right is a negative exponent. Five examples:
| Number | Scientific notation |
|---|---|
| 45,000 | 4.5 × 104 |
| 0.00032 | 3.2 × 10−4 |
| 6,200,000 | 6.2 × 106 |
| 0.0071 | 7.1 × 10−3 |
| 93,000,000 | 9.3 × 107 |
Use the scientific notation calculator to convert any number and check your answers.
Squares, cubes and roots: the numbers to know
Eighth graders should know the squares to 12 × 12 and the cubes to 12, plus the square roots of perfect squares, so that they can work with irrational numbers such as √2 and estimate where a root falls between two whole numbers (√40 is between 6 and 7):
| n | n² | n³ | √(n²) |
|---|---|---|---|
| 1 | 1 | 1 | 1 |
| 2 | 4 | 8 | 2 |
| 3 | 9 | 27 | 3 |
| 4 | 16 | 64 | 4 |
| 5 | 25 | 125 | 5 |
| 6 | 36 | 216 | 6 |
| 7 | 49 | 343 | 7 |
| 8 | 64 | 512 | 8 |
| 9 | 81 | 729 | 9 |
| 10 | 100 | 1000 | 10 |
| 11 | 121 | 1331 | 11 |
| 12 | 144 | 1728 | 12 |
The Pythagorean theorem: six right triangles
In a right triangle, a² + b² = c², where c is the longest side (the hypotenuse). These six triangles have whole-number sides, called Pythagorean triples. Notice that 6-8-10 and 9-12-15 are the 3-4-5 triangle scaled up:
| Legs a and b | a² + b² | Hypotenuse c |
|---|---|---|
| 3 and 4 | 25 | 5 |
| 5 and 12 | 169 | 13 |
| 8 and 15 | 289 | 17 |
| 7 and 24 | 625 | 25 |
| 6 and 8 | 100 | 10 |
| 9 and 12 | 225 | 15 |
For a triangle whose hypotenuse is not a whole number, such as legs of 2 and 3, c = √13, which is about 3.61.
Slope and linear equations
The slope of a line is how much y changes when x increases by 1. Find it from two points with (y₂ − y₁) ÷ (x₂ − x₁). A positive slope rises left to right, a negative slope falls, and a horizontal line has slope 0:
| Two points | Slope = rise ÷ run | Slope |
|---|---|---|
| (1, 2) and (3, 8) | (8 − 2) ÷ (3 − 1) | 3 |
| (0, 5) and (4, 1) | (1 − 5) ÷ (4 − 0) | −1 |
| (-2, -1) and (2, 7) | (7 − -1) ÷ (2 − -2) | 2 |
| (3, 3) and (7, 3) | (3 − 3) ÷ (7 − 3) | 0 |
| (-3, 4) and (-1, -2) | (-2 − 4) ÷ (-1 − -3) | −3 |
Print the graph paper with x and y axes to graph these lines, and practice the algebra with the two-step equations worksheets.
Volume of cylinders, cones and spheres
Eighth grade adds three volume formulas. A cone has one third the volume of a cylinder with the same base and height, and a sphere is two thirds of the cylinder that just fits around it. Three examples, using π from a calculator:
| Shape | Dimensions | Formula | Volume |
|---|---|---|---|
| Cylinder | r = 3, h = 10 | π × 3² × 10 | 282.7 cubic units |
| Cone | r = 4, h = 9 | ⅓ × π × 4² × 9 | 150.8 cubic units |
| Sphere | r = 5 | &frac43; × π × 5³ | 523.6 cubic units |
The volume calculator works out any of these and shows the steps.
Eighth grade math worksheets and grade 8 math worksheets
Families and teachers use many names for the same collection: eighth grade math worksheets, grade 8 math worksheets, math worksheets for 8th graders and printable 8th grade math worksheets. All of them lead to the practice on this page. The two-step equations sheets are PDFs for US Letter or A4, and 8th grade math worksheets with answers are what you get: each file ends with an answer key, so students can check their own work.
For 8th grade math practice that goes beyond a single sheet, use the Customize button to build a new set of problems, or use the worked examples and free calculators on this page. Practicing 8th grade math in short sessions, one skill at a time, works better than long catch-up sessions before a test.
A weekly plan for 8th grade math
A common guideline is about 10 minutes of homework per grade level each night, or about 80 minutes in 8th grade for all subjects, so the blocks below are part of the evening:
| Day | Focus | Suggested block |
|---|---|---|
| Monday | Linear equations: two-step equations worksheets | 25 min |
| Tuesday | Exponents and scientific notation | 25 min |
| Wednesday | Slope and graphing lines | 25 min |
| Thursday | Pythagorean theorem or volume | 25 min |
| Weekly total | Four short sessions, with one free day | 100 min |
Free math calculators for 8th graders
Use these calculators to check homework and see the steps:
| Calculator | Use it to |
|---|---|
| Scientific notation calculator | Convert and compute with scientific notation |
| Volume calculator | Cylinders, cones and spheres |
| Ratio calculator | Proportions and unit rates |
| Percentage calculator | Percent change and percent of a number |
| Simplify fractions calculator | Reduce a fraction to lowest terms |
| Unit converter | Convert units of length, mass and volume |
| Mean, median and mode calculator | Describe a data set |
Common mistakes in 8th grade math, and how to fix them
Most errors in grade 8 come from a handful of habits. Knowing them helps a parent or teacher spot the problem quickly:
| Mistake | Example | Fix |
|---|---|---|
| Multiplying exponents when multiplying powers | x² × x³ = x⁶ | Add the exponents: x² × x³ = x⁵ |
| Wrong sign on the exponent in scientific notation | 0.0032 written as 3.2 × 10³ | Moving the decimal right gives a negative exponent: 3.2 × 10−3 |
| Putting run over rise | Slope of (1, 2) to (3, 8) written as 2/6 | Slope is rise over run: (8 − 2) ÷ (3 − 1) = 3 |
| Adding the legs instead of their squares | Legs 3 and 4 give c = 7 | Square first: 9 + 16 = 25, then c = 5 |
| Using the Pythagorean theorem on any triangle | Applying a² + b² = c² to an acute triangle | It only works for right triangles |
| Not distributing a negative sign | 3 − (x + 2) = 3 − x + 2 | Distribute to both terms: 3 − x − 2 |
An 8th 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 Algebra 1 or Geometry:
- Solve linear equations with variables on both sides.
- Use the exponent rules for products, quotients and powers.
- Write and compute with numbers in scientific notation.
- Find the slope of a line from two points or a graph, and write y = mx + b.
- Compare two linear functions given as a table, a graph or an equation.
- Use the Pythagorean theorem to find a missing side or a distance.
- Describe a reflection, rotation, translation and dilation.
- Find the volume of a cylinder, a cone and a sphere.
- Read a scatter plot and describe its association.
- Estimate a square root and say whether a number is rational or irrational.
How to use these worksheets at home or in class
The worksheets above are the core 8th grade practice on this site, and the worked examples on this page cover exponents, scientific notation, slope, the Pythagorean theorem and volume. Work through one worked example, hide the answer column, solve the problem, then check.
Because eighth grade is cumulative, spend the first minutes of each session on a quick review of integers or percents from the earlier pages. A few mixed problems every week keep old skills fresh while new ones are learned.
Frequently asked questions
4 quick answers
Where can I download free 8th grade math worksheets?
Open any worksheet in the list above, choose US Letter or A4, then print or save the PDF. They are free, with answer keys, and no account is needed.
What math do 8th graders learn?
Eighth graders learn linear equations, slope, exponents and scientific notation, functions, the Pythagorean theorem, transformations, volume of cylinders, cones and spheres, and scatter plots.
Is 8th grade math algebra?
Eighth grade math includes the foundations of algebra: linear equations, slope and functions. Some schools offer Algebra 1 in 8th grade as an accelerated course.
How can I practice 8th grade math at home?
Do a short session of 20 to 25 minutes on one skill at a time, check each answer with the key, and use the worked examples and calculators on this page to see the steps.
More math worksheets
- 7th grade math worksheets for the year before.
- Percent worksheets for review of percents and ratios.
- The math worksheet generator for custom problem sets.