This page makes free printable mixed operations 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. Two of the problems on the sheet as it stands are 57 − 3 × 4 and 9 × 6 + 58 — answers 45 and 112 — and a new set is one click away.
‘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 most useful habit is to underline the part that gets done first before writing anything. It takes two seconds and prevents the majority of errors on this page.
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.
Mixed expressions are where earlier fluency gaps surface: a child unsure of a multiplication fact will default to adding left to right, which is how 9 × 6 + 58 goes wrong.
Teachers usually place mixed operations worksheets alongside the expressions and equations expectations for this grade, which is where the skill sits in the majority of US state frameworks.
| # | Problem | Answer | What to check |
|---|---|---|---|
| 1 | 57 − 3 × 4 = | 45 | Watch for: working strictly left to right |
| 2 | 9 × 6 + 58 = | 112 | Check: ignoring the check |
| 3 | 75 − 6 × 9 = | 21 | Look at: doing brackets last instead of first |
| 4 | 77 − 8 × 7 = | 21 | Ask about: treating multiplication as outranking division |
| 5 | 36 − 7 × 3 = | 15 | Watch for: recopying the expression wrongly |
| 6 | 5 × 7 + 60 = | 95 | Check: dropping a negative sign |
Here is one worked through. 9 × 6 + 58 gives 112. If your child arrives somewhere other than 112 on 9 × 6 + 58, look at the working rather than the answer: nearly every wrong result comes from a skipped step, not an unknown fact.
The item 9 × 6 + 58 is worth doing slowly. The answer to 9 × 6 + 58 is 112, and the route to it is the route every other problem on this sheet takes — which is why the sheet has 20 of them rather than one.
Keys are produced by the same code that produces the questions, so a mismatch between question and answer is not possible on these sheets.
Because the numbers are random, there is no shared answer list to look up: the key printed behind your sheet is the only one that fits it, and it shows 45 for 57 − 3 × 4.
To save these mixed operations 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.
Printing works the same on US Letter and A4, because the layout uses relative widths rather than fixed inches. Set margins to default and scaling to 100%, and all 20 problems fit.
Keep the finished mixed operations worksheets in date order — the drop in time across ten sheets is the clearest progress report you will get.
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