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Free 5th Grade Order of Operations Worksheets (with brackets)

These 5th grade order of operations worksheets are generated rather than scanned, which means you can print a different sheet every day of the week without paying for a subscription or running out of practice. A typical problem from the sheet in front of you is (3 + 5) × 8, which works out to 64; another is 4 × (3 + 9), giving 48.

📄 5TH GRADE ORDER OF OPERATIONS WORKSHEETS — A NEW SHEET EVERY TIME YOU PRESS THE BUTTON
🎲 New set of problems

‘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.

What the sheet contains

The expressions here use brackets and two operations, numbers under 100, so the arithmetic never obscures the structure being tested.

Every sheet is generated fresh, so the pattern of operations changes from page to page and cannot be learned by position.

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.

Brackets exist to override the convention, and children who understand that read expressions far more confidently than children who have memorised an acronym.

These 5th grade order of operations worksheets are commonly aligned with the expressions and equations expectations for this grade, and the skill appears in most curricula somewhere around this point.

A sample of this sheet, with answers

These six come from the sheet loaded on this page. Press the button and the numbers change, but the shape stays the same (brackets and two operations, numbers under 100).
#ProblemAnswerWhat to check
1(3 + 5) × 8 =64Watch for: working strictly left to right
24 × (3 + 9) =48Check: recopying the expression wrongly
3(11 + 4) × 8 =120Look at: treating multiplication as outranking division
4(9 − 5) × 2 =8Ask about: dropping a negative sign
59 × (8 + 5) =117Watch for: ignoring the check
6(11 + 2) × 6 =78Check: doing brackets last instead of first

A worked example from this sheet

The item 4 × (3 + 9) is worth doing slowly. The answer to 4 × (3 + 9) is 48, 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.

Work (9 − 5) × 2 out loud as a demonstration. It gives 8. Children who hear (9 − 5) × 2 reasoned through once at the start of a session make noticeably fewer errors in the ten minutes that follow.

The three errors worth watching for

How to use these worksheets at home

  1. Re-print the same skill rather than the same sheet. Because the numbers change, a child who memorised that (3 + 5) × 8 gives 64 still has to actually calculate tomorrow.
  2. Read the first two problems out loud together before starting the clock. It costs fifteen seconds and removes most of the 'I did not understand the question' errors.
  3. Run the sheet at the same time each day. Ten focused minutes before dinner beats an hour on Sunday, because order of operations is a recall skill: (3 + 5) × 8 has to arrive without being worked out, and recall is built by frequency.
  4. Stop the session at the time limit even if the sheet is unfinished, and note where the child got to. A half sheet done well is better data than a whole sheet rushed.
  5. Write the finish time and the score at the top of every sheet. Two weeks of those two numbers tells you more about progress on order of operations than any single test result.

The answer key

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.

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 64 for (3 + 5) × 8.

How to print this worksheet

To save these 5th grade order of 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.

If the problems look cramped, drop the count from 20 to a smaller number before printing these 5th grade order of operations worksheets; the font stays the same size and the spacing opens up.

Frequently asked questions

Why does the convention exist at all?
So that a written expression has exactly one meaning. It is an agreement about notation, and telling children that removes most of the mystery.
Are these worksheets really free?
Yes, completely. The page is supported by advertising, not by subscriptions, so there is no limit on how many 5th grade order of operations worksheets you print.
Will these print correctly on A4?
Yes. These 5th grade order of operations worksheets fit both A4 and US Letter without clipping, as long as print scaling is left at 100% and browser headers and footers are switched off.
Is PEMDAS or BODMAS correct?
They describe the same convention with different words. Both mislead slightly, because multiplication and division share a level and so do addition and subtraction.

Print a sheet of 5th grade order of operations worksheets, run it for 12 minutes, mark it together, and come back tomorrow for a different set of numbers on the same skill.

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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