This is a free order of operations worksheet generator. Choose a level (grade 4–7), the operations and the rule name your class uses (PEMDAS, GEMDAS, BODMAS or BIDMAS). It makes a new printable worksheet every time you click, with whole-number answers and an answer key that shows every step. Print it or save it as a PDF. No sign-up needed.
How to make your worksheet
- Pick a level. Each one sets sensible options, and you can still change any of them.
- Choose the rule name your class uses. PEMDAS, GEMDAS, BODMAS and BIDMAS all mean the same order; the name only changes the labels on the sheet and in the answer key.
- Set the number of problems (up to 40), how many operations each has, and the largest number.
- Press New worksheet until you like the set, then Print / save as PDF. The answer key prints on its own page.
Every problem has a whole-number answer and divides evenly. Without “Negative numbers”, no step drops below zero. Write down the worksheet code to make the same sheet again later with the same settings.
The order of operations
| Step | PEMDAS | GEMDAS | BODMAS / BIDMAS |
|---|---|---|---|
| 1 | Parentheses | Grouping symbols | Brackets |
| 2 | Exponents | Exponents | Orders / Indices |
| 3 | Multiplication and Division, left to right | Multiplication and Division, left to right | Division and Multiplication, left to right |
| 4 | Addition and Subtraction, left to right | Addition and Subtraction, left to right | Addition and Subtraction, left to right |
Multiplication doesn’t come before division, and addition doesn’t come before subtraction. Each pair is worked left to right, so 12 ÷ 3 × 2 = 8, not 2.
GEMDAS worksheets for Grade 6
In the Philippines, the order of operations is taught as GEMDAS: Grouping symbols, Exponents, Multiplication and Division (left to right), then Addition and Subtraction (left to right). For a Grade 6 GEMDAS worksheet:
- Set Rule name to GEMDAS (Philippines).
- Pick Grade 6: exponents (or Grade 5–6 for parentheses and brackets only).
- Choose 10–20 problems and keep Answer key on. Tick Show steps in key so pupils can check each step.
Which level to choose
| Level | What the problems use | Typical problem |
|---|---|---|
| Grade 4–5 | + − × ÷ and one pair of parentheses, 2–3 operations | 18 − (4 + 2) × 2 |
| Grade 5–6 | Parentheses and brackets, 3–4 operations | [(7 + 5) ÷ 3] × 4 − 6 |
| Grade 6 | Adds squares and cubes | 3² + (10 − 4) × 2 |
| Grade 7 | Adds negative numbers | (−8 + 2) × 3 − 4² |
For harder sheets (pre-algebra or Algebra 1 review), choose 5–6 operations, a larger number range and both exponents and negative numbers.
Common mistakes to watch for
- Multiplying before dividing every time. They have equal rank, so 24 ÷ 4 × 2 = 12, not 3.
- Adding before subtracting. 10 − 3 + 2 = 9, not 5.
- Skipping the inner group. In [2 × (3 + 4)], the parentheses go first: 3 + 4 = 7, then 2 × 7 = 14.
- Treating 3² as 3 × 2. 3² = 3 × 3 = 9.
Frequently asked questions
What is the order of operations?
Grouping symbols first (parentheses, then brackets), then exponents, then multiplication and division from left to right, then addition and subtraction from left to right.
What does GEMDAS stand for?
Grouping symbols, Exponents, Multiplication and Division, Addition and Subtraction. It's the name used in the Philippines; PEMDAS (US) and BODMAS or BIDMAS (UK, India) mean the same order.
Is PEMDAS the same as BODMAS?
Yes. Both put multiplication and division on the same level, worked left to right, and addition and subtraction on the same level, also left to right. Only the words differ.
Do the worksheets come with answers?
Yes. Keep “Answer key” on and it prints on its own page. Tick “Show steps in key” to show each step of the working.
Can I download the worksheet as a PDF?
Yes. Press “Print / save as PDF” and choose “Save as PDF” as the printer. Only the worksheet and answer key are printed, not the rest of the page.
Are the answers always whole numbers?
Yes. Every division comes out even. Unless you turn on negative numbers, no step goes below zero either.
How do I make the same worksheet again?
Note the worksheet code printed at the bottom. Type it into the Worksheet code box with the same settings, and the same problems come back.
Which level suits Grade 6?
“Grade 6: exponents” adds squares and cubes to parentheses and brackets. Use “Grade 5–6” for a sheet without exponents.