Free printable Grade 6 order of operations worksheets (Ontario)

Order of operations in Grade 6 is how a multi-step number sentence stays unambiguous. Ontario expectation B2.1 asks students to use the properties of operations on problems that mix whole numbers, decimals, and percents. This printable preview is the whole-number form of that agreement. 2 × 8 + 13 × 12 has to be multiplied before it is added. 4 × (7 + 1) does the bracket first. (7 − 3)² ÷ 2 brings in an exponent, then division. A translation item asks which expression means add 6 to the product of 15 and 5, so students write the structure and not only evaluate it. A nested example, 11 × (7 + (7 − 2)), puts a bracket inside a bracket. Left-to-right reading, without that order, gets these wrong.

Ontario curriculum: Mathematics (2020) · Number B2.1 — use properties of operations to solve multi-step problems with whole numbers, decimals, and percents

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Question types

Sample questions

6 questions from order of operations. Choices stay unmarked.

  1. 1.

    2 × 8 + 13 × 12 =

    • A170
    • B173
    • C172
    • D162
  2. 2.

    4 × (7 + 1) =

    • A32
    • B37
    • C42
    • D16
  3. 3.

    (7 − 3)² ÷ 2 =

    • A8
    • B0
    • C18
    • D7
  4. 4.

    Which expression means "add 6 to the product of 15 and 5"?

    • A6 × 15 + 5
    • B6 + 15 + 5
    • C6 + 15 × 5
    • D(6 + 15) × 5
  5. 5.

    3 × 2 − 13 =

    • A-9
    • B-7
    • C-2
    • D-8
  6. 6.

    11 × (7 + (7 − 2)) =

    • A122
    • B142
    • C131
    • D132
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Common questions

Which operation comes first on the Grade 6 sheet?
Multiplication and division before addition and subtraction, and brackets before either. In 2 × 8 + 13 × 12 both products are computed before the addition. In 4 × (7 + 1) the sum inside the brackets comes first.
Do Grade 6 order of operations questions include exponents?
One item does: (7 − 3)² ÷ 2. Students square the difference, then divide. The rest of the preview is products, sums, and brackets.
Is there a question that asks students to write the expression?
Yes. One item asks which expression means add 6 to the product of 15 and 5. That checks whether multiplication is grouped before the addition is written down.

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