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Grade 6 Find the first wrong step (HOTQ) Worksheets

A worked answer with one wrong step in it. Find the first step that breaks the rule and write the step that belongs there.

Every sheet below is generated fresh with a matching answer key. Pick one of the three levels, preview it, and print or download the PDF β€” no account, no watermark. For the other grade 6 order of operations skills, see all order of operations worksheets.

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Order of Operations Β· Grade 6

Grade
Topic
SkillEach skill is a different kind of question, with its own levels.
Level
Questions
12

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Grade 6 Β· 3 pages Β· A4

Order of Operations Practice

Grade 6 β€’ Find the first wrong step (HOTQ) β€’ A bracket in the working
Name:Date:

Every line adds up correctly. One step was taken out of turn β€” write its number and the step that belongs there: Step 1, 8 + 2 = 10.

  1. 1) 2 Γ— 3 + 3 Γ— (11 βˆ’ 4) Step 1: 11 βˆ’ 4 = 7 Step 2: 2 Γ— 3 = 6 Step 3: 6 + 3 = 9 Step 4: 9 Γ— 7 = 63
    Answer:
  1. 2) 11 βˆ’ 2 Γ— (7 βˆ’ 4) + 7 Step 1: 7 βˆ’ 4 = 3 Step 2: 11 βˆ’ 2 = 9 Step 3: 9 Γ— 3 = 27 Step 4: 27 + 7 = 34
    Answer:
  1. 3) 4 + 2 Γ— 12 βˆ’ (10 + 12) Step 1: 10 + 12 = 22 Step 2: 4 + 2 = 6 Step 3: 6 Γ— 12 = 72 Step 4: 72 βˆ’ 22 = 50
    Answer:
  1. 4) 4 Γ— (5 + 10) + 2 Γ— 5 Step 1: 4 Γ— 5 = 20 Step 2: 2 Γ— 5 = 10 Step 3: 20 + 10 = 30 Step 4: 30 + 10 = 40
    Answer:
  1. 5) (11 + 10) Γ— 3 βˆ’ 11 + 2 Step 1: 10 Γ— 3 = 30 Step 2: 11 + 30 = 41 Step 3: 41 βˆ’ 11 = 30 Step 4: 30 + 2 = 32
    Answer:
  1. 6) 2 + 6 + 6 Γ— (3 + 9) Step 1: 6 Γ— 3 = 18 Step 2: 2 + 6 = 8 Step 3: 8 + 18 = 26 Step 4: 26 + 9 = 35
    Answer:
  1. 7) 2 + 10 Γ— 6 βˆ’ (2 + 3) Step 1: 2 + 3 = 5 Step 2: 2 + 10 = 12 Step 3: 12 Γ— 6 = 72 Step 4: 72 βˆ’ 5 = 67
    Answer:
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Page 1 of 3

Every line adds up correctly. One step was taken out of turn β€” write its number and the step that belongs there: Step 1, 8 + 2 = 10. (continued)

  1. 8) 10 + 4 + 2 Γ— (4 + 6) Step 1: 2 Γ— 4 = 8 Step 2: 10 + 4 = 14 Step 3: 14 + 8 = 22 Step 4: 22 + 6 = 28
    Answer:
  1. 9) 9 + (9 βˆ’ 4) Γ— 2 + 12 Step 1: 9 βˆ’ 4 = 5 Step 2: 9 + 5 = 14 Step 3: 14 Γ— 2 = 28 Step 4: 28 + 12 = 40
    Answer:
  1. 10) 8 + (5 + 2) Γ— 5 Γ— 2 Step 1: 2 Γ— 5 = 10 Step 2: 10 Γ— 2 = 20 Step 3: 8 + 5 = 13 Step 4: 13 + 20 = 33
    Answer:
  1. 11) 6 + 10 Γ— 5 βˆ’ (5 + 3) Step 1: 5 + 3 = 8 Step 2: 6 + 10 = 16 Step 3: 16 Γ— 5 = 80 Step 4: 80 βˆ’ 8 = 72
    Answer:
  1. 12) 6 + (7 + 8) Γ— 2 βˆ’ 11 Step 1: 7 + 8 = 15 Step 2: 6 + 15 = 21 Step 3: 21 Γ— 2 = 42 Step 4: 42 βˆ’ 11 = 31
    Answer:
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Page 2 of 3

Answer Key

  1. 1. Step 3, 3 Γ— 7 = 21
  2. 2. Step 2, 2 Γ— 3 = 6
  1. 3. Step 2, 2 Γ— 12 = 24
  2. 4. Step 1, 5 + 10 = 15
  1. 5. Step 1, 11 + 10 = 21
  2. 6. Step 1, 3 + 9 = 12
  1. 7. Step 2, 10 Γ— 6 = 60
  2. 8. Step 1, 4 + 6 = 10
  1. 9. Step 2, 5 Γ— 2 = 10
  2. 10. Step 1, 5 + 2 = 7
  1. 11. Step 2, 10 Γ— 5 = 50
  2. 12. Step 2, 15 Γ— 2 = 30
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Page 3 of 3

What each level generates

Grade 6 find the first wrong step (hotq) β€” the exact skill behind each difficulty setting, straight from the generator.

  1. Level 1A step taken out of turn
  2. Level 2A bracket in the working
  3. Level 3Equal ranks in the wrong order

Grade levels follow the progression common to most English-language curricula β€” not one specific national curriculum. Every level shows exactly what it generates, so you can check the fit with your own program. See the full scope & sequence β†’

More Grade 6 order of operations skills

Each one generates a different kind of question, with its own three levels and answer key.

Frequently asked questions

β–ΈWhat order of operations should a Grade 6 student know?

Confident evaluation of multi-step expressions with brackets: brackets first, then multiplication and division left to right, then addition and subtraction left to right. Grade 6 also meets whole-number exponents, and they have a sheet of their own here so the core rules and the powers can be practised one at a time.

β–ΈDoes multiplication always come before division?

No β€” this is the most common misconception. Multiplication and division share equal priority and are done left to right, so 24 Γ· 6 Γ— 2 is 8, not 2. The same is true of addition and subtraction, which are also worked left to right.

β–ΈWhere are the exponents on these Grade 6 worksheets?

On their own sheet β€” the Powers in Expressions card β€” rather than mixed into the bracket work. That is a deliberate choice: mastering how brackets and the left-to-right rule interact is easier without powers adding a second layer, and a squared bracket is easier to see when the rest of the line is short. Once both are dependable, the Grade 7 sheets combine them.

β–ΈCan I reuse the exact same worksheet for a re-test?

Yes. The worksheet is stored in its web address, so bookmarking or sharing the link reproduces the identical problems and answer key β€” ideal for a fair before-and-after comparison across a class.

β–ΈWhat paper size and layout do these print on?

Choose A4 or US Letter in the controls; the preview and the downloaded PDF both reflow to the size you pick, and the answer key prints on its own final page.