This page makes free printable 6th grade exponents 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. A typical problem from the sheet in front of you is √64, which works out to 8; another is 8², giving 64.
‘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.
An exponent is repeated multiplication written short. Reading √64 as a multiplication rather than as a symbol is what makes 8 obvious instead of mysterious.
Knowing the squares up to about fifteen by heart pays for itself repeatedly in later work with area, right-angled triangles and quadratics.
The commonest error is treating the exponent as a multiplier. It survives far longer than teachers expect, because the two operations agree for one particular case and disagree for 8².
Square roots are included because they are exponents read backwards, and practising both directions together makes each of them faster.
Work of this kind is commonly aligned with the expressions and equations strand for grade 6; schools outside the US meet the same skill at roughly the same age, which is why these 6th grade exponents worksheets travel well.
| # | Problem | Answer | What to check |
|---|---|---|---|
| 1 | √64 = | 8 | Watch for: getting the root of a non-square wrong |
| 2 | 8² = | 64 | Check: mishandling a power of one |
| 3 | 7^3 = | 343 | Look at: confusing the square with double |
| 4 | √100 = | 10 | Ask about: losing track of the base in a chain |
| 5 | √144 = | 12 | Watch for: writing the exponent full size |
| 6 | 12² = | 144 | Check: multiplying the base by the exponent |
Work √100 out loud as a demonstration. It gives 10. Children who hear √100 reasoned through once at the start of a session make noticeably fewer errors in the ten minutes that follow.
Here is one worked through. 8² gives 64. If your child arrives somewhere other than 64 on 8², 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 — √64 is listed as 8, 8² as 64, and so on down the page.
Every generated sheet carries its own key on a separate printed page, which lets a child self-mark without seeing the answers while they work.
To save these 6th grade exponents worksheets instead of printing them, choose 'Save as PDF' in the printer list. You get the worksheet and the answer key as a single PDF, on Letter or A4 depending on your printer settings.
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 √64 from a neighbour.
One sheet of 6th grade exponents worksheets a day for two weeks will tell you more about where a 6th grader actually stands than any single long assessment.
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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