Worksheets that come out clean
Printable arithmetic practice with an answer key. Every question is generated backwards from its answer, so nothing on the sheet has a remainder you did not ask for.
Topics
Generated on this device — nothing is uploaded
What "generated backwards" means
The obvious way to make a division question is to pick two numbers and divide them, which gives you 47 ÷ 6 and a remainder nobody wanted. So the quotient and the divisor are chosen first and the dividend is derived from them — the question is built from its answer, and it is always exact.
The same discipline runs through everything: subtraction picks the result and the amount removed so it never goes negative; percentages pick a whole that makes the answer an integer; fraction answers are reduced. It costs nothing and it means a sheet can be handed out without being checked first.
It is also easy to get subtly wrong. An early version of the percentage generator picked the answer and rounded backwards to find the whole, which produced "75% of 13 = 10" — plausible-looking and false, since 75% of 13 is 9.75. The rounding hid it. The generator now picks a whole that divides exactly, and a test verifies eight hundred generated percentage questions against independent arithmetic.
For teachers and parents
No account, no watermark, no limit, and nothing uploaded. What you print is yours to use however you like — a class set, a homework sheet, a page for one child who needs more practice on one thing.
The seed field exists for when you need the same sheet twice: type anything memorable and that exact sheet is reproducible forever. Useful for printing a replacement, giving two groups identical work, or handing a parent the same questions their child had in class.
Answer keys print on their own page at the end, so a sheet can go out without them.
Choosing topics
Selecting several topics alternates between them question by question, which is usually what you want for revision. Selecting one gives a focused drill — thirty division questions in a row is the right shape when division is the thing being practised.
Levels are described as roughly matching an age range, with a note on what each covers. They deliberately stop short of claiming curriculum alignment: mapping to a standard means having read that standard, and standards differ by country and change.
Related
Mental Math Arena for the same questions against a clock, and the Sudoku generator for a different kind of printable.
Questions people actually ask
Can I use these sheets in class or sell them?
Yes. They are generated on your machine, there is no account, no watermark and no usage limit. What you print is yours.
Will the same seed rebuild the same sheet?
Always — same questions, same order, same answers. Type something memorable in the seed field and you can reprint that exact sheet at any point.
Why did it produce fewer questions than I asked for?
Because that topic and level ran out of distinct combinations. There are only so many single-digit squares, so asking for eighty of them cannot be done without repeats. It tells you rather than padding the sheet with duplicates.
Are the answers ever wrong?
They should not be, and it is tested rather than assumed: the test suite re-checks generated questions against independent arithmetic — including eight hundred percentage questions, which is where an earlier version had a genuine bug producing '75% of 13 = 10'.
Where do the answers print?
On their own page after the questions, so a sheet can be handed out without them.