Every sheet of 6th grade order of operations worksheets on this page is built the moment you open it, so the 20 problems below are not the same ones the last visitor printed, and the answer key is generated with them. The current sheet starts with problems like (5 + 2) × 3 and 5 × (2 + 3), and the answers (21 and 25) 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.
The expressions here use brackets and two operations, numbers under 100, so the arithmetic never obscures the structure being tested.
Order of operations is a convention, not a discovery, and it has to be taught as such. In (5 + 2) × 3 the multiplication is done before the addition, which is why the answer is 21 and not what left-to-right reading would give.
Every sheet is generated fresh, so the pattern of operations changes from page to page and cannot be learned by position.
Brackets exist to override the convention, and children who understand that read expressions far more confidently than children who have memorised an acronym.
In US classrooms these 6th grade order of operations worksheets are commonly aligned with the expressions and equations expectations for this grade, though the exact wording varies from state to state.
| # | Problem | Answer | What to check |
|---|---|---|---|
| 1 | (5 + 2) × 3 = | 21 | Watch for: ignoring the check |
| 2 | 5 × (2 + 3) = | 25 | Check: working strictly left to right |
| 3 | 4 × 8 + 4 × 3 = | 44 | Look at: recopying the expression wrongly |
| 4 | (9 + 9) × 7 = | 126 | Ask about: dropping a negative sign |
| 5 | (2 + 3) × 9 = | 45 | Watch for: doing brackets last instead of first |
| 6 | (11 + 9) × 5 = | 100 | Check: treating multiplication as outranking division |
Try 4 × 8 + 4 × 3 together before letting the child start alone. The answer to 4 × 8 + 4 × 3 is 44, and talking through how it was reached takes about a minute and saves several minutes of guessing later in the sheet.
Work (9 + 9) × 7 out loud as a demonstration. It gives 126. Children who hear (9 + 9) × 7 reasoned through once at the start of a session make noticeably fewer errors in the ten minutes that follow.
Keys are produced by the same code that produces the questions, so a mismatch between question and answer is not possible on these sheets.
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.
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 (5 + 2) × 3 from a neighbour.
The sheet is laid out to fit one page on both US Letter and A4. Leave the browser scaling at 100% and turn headers and footers off, and the 20 problems land inside the margins on either paper size.
One sheet of 6th grade order of operations 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