Math Problem Generator
Pick a topic, a difficulty and how many problems you want, and the generator writes a fresh set every time — from basic facts to fractions, percentages, negative numbers, exponents and equations. Print the sheet with its answer key on a separate page, or use the same seed number to recreate a set later for the whole class.
Math problem generator
Math Problem Bank
Printable topic-by-topic problem sets with answer keys (fractions, decimals, percentages, integers, equations), a math vocabulary card and an Excel class results tracker.
- Fractions (PDF, DOCX)
- Percentages (PDF, DOCX)
- Negative numbers (PDF, DOCX)
- Equations (PDF, DOCX)
- Vocabulary card (PDF)
- Results tracker (XLSX)
Formats: PDF, DOCX, XLSX. Instant download after payment (link valid 72 hours, up to 5 downloads). AI-assisted: the templates were drafted with AI help and reviewed and laid out by Kedop.
$3.00 USD, one-time
Secure card checkout by Stripe. Full refund within 7 days — see the refund policy and license.
Topics and levels
| Topic | Easy | Medium | Hard |
|---|---|---|---|
| Addition / subtraction | Within 10 | Within 100 | Within 1,000 |
| Multiplication | Up to 10 × 10 | Up to 12 × 12 | 2-digit × up to 108 |
| Division | Facts to 10 | Facts to 12 | Long division with remainders |
| Fractions | Add/subtract halves, quarters, eighths | All four operations, common denominators | All operations, mixed denominators |
| Decimals | Tenths | Hundredths, including × | Thousandths |
| Percentages | 10%, 25%, 50%, 75% of | Common percentages; reverse problems | Any percentage; reverse problems |
| Negative numbers | + and − within ±10 | All operations within ±20 | All operations within ±50 |
| Equations | One-step, small numbers | One- and two-step | Two-step with larger values |
Why generated problems help
Practice works best when it is plentiful and varied. A generator gives students new problems every time, so they can’t memorise answers, and teachers can differentiate instantly by changing the difficulty. The seed number makes sets reproducible: give the whole class seed 1234 for identical sheets, or give each group a different seed for different problems at the same level.
Exponents and roots
An exponent says how many times to multiply a base by itself: 5³ = 5 × 5 × 5 = 125. A square root undoes squaring: √81 = 9 because 9² = 81. The generator uses perfect squares for roots so answers are whole numbers, and small bases for exponents so problems can be solved without a calculator.
Using the answer key
When you print, the answer key starts on a new page so you can keep it or hand it out separately. Division answers show remainders as “r”; fraction answers are simplified and shown as mixed numbers where appropriate; percentages and decimals are rounded sensibly. For equations, the answer is the value of x.
Order of operations
The order of operations problems test the convention of brackets first, then exponents, then multiplication and division from left to right, then addition and subtraction from left to right — often remembered as PEMDAS, BODMAS or BIDMAS. 3 + 4 × 5 is 23, not 35, because multiplication comes before addition.
Solving equations
- Identify the operations applied to x.
- Undo them in reverse order using inverse operations, doing the same to both sides.
- For 3x + 5 = 20: subtract 5 from both sides (3x = 15), then divide by 3 (x = 5).
- Check by substituting: 3 × 5 + 5 = 20 ✓.
Worked example: a differentiated lesson
A teacher prepares fractions practice for three groups. Group A gets easy problems (adding and subtracting halves, quarters and eighths) with seed 101, group B medium problems with seed 202, and group C hard problems with seed 303. Each sheet has 20 problems and prints with its own answer key, so groups can self-check before a whole-class discussion of the trickiest questions.
Ideas for using the generator
- Daily warm-ups: 10 mixed problems on the board.
- Homework that is different for every student (change the seed).
- Timed fluency practice for facts.
- Revision before tests with a mixed set.
- Parents helping at home with instant answer keys.
- Tutors creating quick diagnostic checks.
Negative numbers made simple
| Rule | Example |
|---|---|
| Adding a negative is subtracting | 7 + (−3) = 4 |
| Subtracting a negative is adding | 5 − (−2) = 7 |
| Same signs multiply to positive | (−4) × (−6) = 24 |
| Different signs multiply to negative | (−4) × 6 = −24 |
| Division follows the same sign rules | −36 ÷ 9 = −4 |
A number line or a thermometer picture helps: moving right is adding, moving left is subtracting.
Fractions: quick reminders
- To add or subtract, rewrite fractions with a common denominator first.
- To multiply, multiply tops and bottoms.
- To divide, multiply by the reciprocal of the second fraction.
- Simplify by dividing top and bottom by their greatest common factor.
- Convert improper fractions to mixed numbers for final answers.
Percentages: three problem types
Percentage questions usually ask one of three things: find a percentage of a number (15% of 60 = 9), find what percentage one number is of another (12 is 25% of 48), or find the original amount before a change (if 120 is 80% of a price, the full price is 150). The generator creates the first two types; the paid pack adds increase and decrease problems.
Tips for students
- Show your working — it helps you and your teacher find mistakes.
- Estimate first to check if an answer is sensible.
- For fractions, simplify at the end.
- For negatives, remember that subtracting a negative is adding.
- Check equation answers by substituting them back.
Privacy
Problems are generated in your browser; nothing is stored or sent.
Frequently asked questions
How do I make a math worksheet?
Choose a topic, difficulty and number of problems, then print — the answer key prints on a separate page.
Can I get the same problems again?
Yes, use the same seed number.
What topics are included?
Arithmetic, division, fractions, decimals, percentages, negative numbers, exponents, order of operations and equations.
What grade levels does it suit?
Roughly grades 1–8 depending on topic and difficulty.
Are answers simplified?
Yes, fractions are simplified and shown as mixed numbers where appropriate.
Can I choose more than 60 problems?
Print several sets with different seeds for longer practice.
How do I make a test and a retest?
Use one seed for the test and a different seed at the same level for the retest.
Does it work for homeschooling?
Yes; use it for daily practice and keep the answer keys for checking.
Can I print just the answers?
The answer key prints on its own page, so you can print only that page.
Are decimal answers rounded?
They are shown exactly or rounded sensibly to the precision of the problem.
Is anything stored?
No, it runs in your browser.