Grade 6 · free · printable

GEMDAS Worksheet Grade 6

Free printable GEMDAS worksheets built for sixth grade: multi-step expressions with grouping symbols, exact division and whole-number exponents. Set your difficulty below, print the sheet and the answer key, and use the seed to hand out the exact same sheet again.

Grade 6 worksheet generator

What grade 6 students practice on these sheets

In grade 6, order-of-operations work moves beyond simple one-step expressions. In broad terms, sixth-grade practice commonly centers on:

Exact grade-level expectations vary by curriculum and district, so treat the list above as a broad map of the territory rather than a standard-by-standard checklist.

Sample worksheet (medium, 10 questions)

This is a fixed sample so you can see the format before generating your own. It prints exactly like a generated sheet.

GEMDAS Worksheet — Grade 6 (Medium)
Name: ______________________Date: ____________Score: ______ / 10

Directions: Evaluate each expression. Remember GEMDAS — Grouping symbols first, then Exponents, then Multiply/Divide left to right, then Add/Subtract left to right.

  1. (30 − 15)^2 = ______
  2. 19 + 16 − 9 − 6 = ______
  3. 2 + 40 ÷ 2 = ______
  4. 8 − (37 − 31) = ______
  5. (6 × 22 ÷ 12)^2 = ______
  6. 16 × 24 ÷ 12 = ______
  7. (38 − 34)^2 ÷ 8 = ______
  8. 25 − 28 ÷ 7 = ______
  9. (24 − 2) ÷ 11 = ______
  10. 27 ÷ 9 + 29 = ______
Show sample answer key
1.(30 − 15)^2 = 225
2.19 + 16 − 9 − 6 = 20
3.2 + 40 ÷ 2 = 22
4.8 − (37 − 31) = 2
5.(6 × 22 ÷ 12)^2 = 121
6.16 × 24 ÷ 12 = 32
7.(38 − 34)^2 ÷ 8 = 2
8.25 − 28 ÷ 7 = 21
9.(24 − 2) ÷ 11 = 2
10.27 ÷ 9 + 29 = 32

Worked example, step by step

Evaluate (12 − 4)^2 ÷ 8 + 7:

(12 − 4)^2 ÷ 8 + 7 = 8^2 ÷ 8 + 7 (G: grouping symbols first — 12 − 4 = 8) = 64 ÷ 8 + 7 (E: exponent before multiplying/dividing — 8^2 = 64) = 8 + 7 (M/D: divide left to right — 64 ÷ 8 = 8) = 15 (A/S: add — final answer)

Notice the order in the third line: the division happens before the addition because M and D outrank A and S — not because of where anything sits on the page.

Common grade 6 mistakes to watch for

Tip: have students underline the operation they are about to perform before writing each line. It slows them down for a week and saves them for years.

FAQ

What should a GEMDAS worksheet for grade 6 include?

A good grade 6 sheet mixes multi-step expressions with grouping symbols, exact division, and whole-number exponents such as 5^2 or 2^3. Numbers stay whole and reasonably small so students focus on the order of operations, not on long computation.

Are the answer keys included?

Yes. Every sheet you generate comes with a Print Answer Key button, and the key lists each question with its final answer. The answers are computed by the same evaluator that generates the sheet, so they always match.

How do I print the same grade 6 worksheet twice?

Generate once, then copy the seed number that appears under the buttons. Entering that seed with the same grade, difficulty and question count reproduces the identical worksheet — useful for a second class, a retest, or a make-up assignment.

Is GEMDAS different from PEMDAS in grade 6?

No. GEMDAS and PEMDAS describe the same order of operations. The only difference is the first letter: G stands for all grouping symbols (parentheses, brackets, braces), while P names parentheses only. Either mnemonic leads to the same answer.