This page makes free printable square numbers worksheets on demand: press the button and you get a new sheet of 20 problems with a matching answer key, ready for US Letter or A4 paper. The current sheet starts with problems like √81 and 4², and the answers (9 and 16) are printed on the key so marking takes about a minute.
‘New set of problems’ opens the generator in its own tab. There you can change the problem count and turn the answer key on or off. ‘Print or save as PDF’ opens the print dialog — choose Save as PDF in the printer list to keep the file. The sheet fits US Letter and A4, and the answer key prints on its own page.
Knowing the squares up to about fifteen by heart pays for itself repeatedly in later work with area, right-angled triangles and quadratics.
Square roots are included because they are exponents read backwards, and practising both directions together makes each of them faster.
Because each sheet regenerates, the base and the power vary rather than settling into the familiar small cases.
An exponent is repeated multiplication written short. Reading √81 as a multiplication rather than as a symbol is what makes 9 obvious instead of mysterious.
Teachers usually place square numbers worksheets alongside the expressions and equations strand for grade 6, which is where the skill sits in the majority of US state frameworks.
| # | Problem | Answer | What to check |
|---|---|---|---|
| 1 | √81 = | 9 | Watch for: writing the exponent full size |
| 2 | 4² = | 16 | Check: getting the root of a non-square wrong |
| 3 | √16 = | 4 | Look at: mishandling a power of one |
| 4 | 8² = | 64 | Ask about: confusing the square with double |
| 5 | 13² = | 169 | Watch for: losing track of the base in a chain |
| 6 | 6² = | 36 | Check: multiplying the base by the exponent |
Take the first problem on the sheet as it stands, √81. Work √81 out on paper rather than in your head the first few times, say each step aloud, and check the result against 9 on the key before moving on.
Here is one worked through. 4² gives 16. If your child arrives somewhere other than 16 on 4², look at the working rather than the answer: nearly every wrong result comes from a skipped step, not an unknown fact.
The answer key is generated with the worksheet, not written by hand, so it always matches the sheet in front of you — √81 is listed as 9, 4² as 16, and so on down the page.
The key prints on its own page by default. Uncheck the answer-key box before printing if you would rather keep it back and mark the sheet yourself.
For a class set, print one sheet, press the new-worksheet button and print again. Each child gets different numbers on the same skill, so nobody can copy the answer to √81 from a neighbour.
If the problems look cramped, drop the count from 20 to a smaller number before printing these square numbers worksheets; the font stays the same size and the spacing opens up.
Print a sheet of square numbers worksheets, run it for 10 minutes, mark it together, and come back tomorrow for a different set of numbers on the same skill.
Free printable math worksheets from a working math academy director in Korea. Problems come from our own code, not from a published workbook. Every sheet prints on US Letter or A4 with its answer key. All worksheets · Worksheet generator · Korean site
Last updated: 2026-09-13