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Grade 7 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.

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Order of Operations Β· Grade 7

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

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Grade 7 Β· 3 pages Β· A4

Order of Operations Practice

Grade 7 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) (4 + 18) Γ— 2 + 17 βˆ’ 4 Step 1: 18 Γ— 2 = 36 Step 2: 4 + 36 = 40 Step 3: 40 + 17 = 57 Step 4: 57 βˆ’ 4 = 53
    Answer:
  1. 2) (20 βˆ’ 12) Γ· 2 + 19 + 6 Step 1: 12 Γ· 2 = 6 Step 2: 20 βˆ’ 6 = 14 Step 3: 14 + 19 = 33 Step 4: 33 + 6 = 39
    Answer:
  1. 3) 16 βˆ’ 13 + (12 + 12) Γ— 2 Step 1: 12 Γ— 2 = 24 Step 2: 16 βˆ’ 13 = 3 Step 3: 3 + 12 = 15 Step 4: 15 + 24 = 39
    Answer:
  1. 4) 3 + 18 βˆ’ 12 Γ· (3 Γ— 2) Step 1: 12 Γ· 3 = 4 Step 2: 4 Γ— 2 = 8 Step 3: 3 + 18 = 21 Step 4: 21 βˆ’ 8 = 13
    Answer:
  1. 5) 11 Γ— (13 βˆ’ 11) + 16 Γ— 2 Step 1: 13 βˆ’ 11 = 2 Step 2: 11 Γ— 2 = 22 Step 3: 22 + 16 = 38 Step 4: 38 Γ— 2 = 76
    Answer:
  1. 6) (8 + 15) Γ— 3 βˆ’ 20 + 5 Step 1: 15 Γ— 3 = 45 Step 2: 8 + 45 = 53 Step 3: 53 βˆ’ 20 = 33 Step 4: 33 + 5 = 38
    Answer:
  1. 7) 5 Γ— 3 + 15 Γ· (9 βˆ’ 4) Step 1: 9 βˆ’ 4 = 5 Step 2: 5 Γ— 3 = 15 Step 3: 15 + 15 = 30 Step 4: 30 Γ· 5 = 6
    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) 18 βˆ’ 15 + 4 Γ— (8 + 10) Step 1: 4 Γ— 8 = 32 Step 2: 18 βˆ’ 15 = 3 Step 3: 3 + 32 = 35 Step 4: 35 + 10 = 45
    Answer:
  1. 9) 14 βˆ’ 2 + (9 + 2) Γ— 4 Step 1: 2 Γ— 4 = 8 Step 2: 14 βˆ’ 2 = 12 Step 3: 12 + 9 = 21 Step 4: 21 + 8 = 29
    Answer:
  1. 10) (19 βˆ’ 3) Γ— 2 + 8 βˆ’ 13 Step 1: 3 Γ— 2 = 6 Step 2: 19 βˆ’ 6 = 13 Step 3: 13 + 8 = 21 Step 4: 21 βˆ’ 13 = 8
    Answer:
  1. 11) 3 Γ— (18 βˆ’ 2) βˆ’ 11 + 19 Step 1: 3 Γ— 18 = 54 Step 2: 54 βˆ’ 2 = 52 Step 3: 52 βˆ’ 11 = 41 Step 4: 41 + 19 = 60
    Answer:
  1. 12) 20 + (18 + 16) Γ· 2 βˆ’ 15 Step 1: 18 + 16 = 34 Step 2: 20 + 34 = 54 Step 3: 54 Γ· 2 = 27 Step 4: 27 βˆ’ 15 = 12
    Answer:
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Page 2 of 3

Answer Key

  1. 1. Step 1, 4 + 18 = 22
  2. 2. Step 1, 20 βˆ’ 12 = 8
  1. 3. Step 1, 12 + 12 = 24
  2. 4. Step 1, 3 Γ— 2 = 6
  1. 5. Step 3, 16 Γ— 2 = 32
  2. 6. Step 1, 8 + 15 = 23
  1. 7. Step 3, 15 Γ· 5 = 3
  2. 8. Step 1, 8 + 10 = 18
  1. 9. Step 1, 9 + 2 = 11
  2. 10. Step 1, 19 βˆ’ 3 = 16
  1. 11. Step 1, 18 βˆ’ 2 = 16
  2. 12. Step 2, 34 Γ· 2 = 17
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Page 3 of 3

What each level generates

Grade 7 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 7 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 is expected in Grade 7?

Fast, accurate evaluation of multi-step, bracketed expressions that now include powers, because it underpins solving equations and substituting into formulas. Grade 7 adds squares β€” evaluated before Γ— Γ· and after brackets β€” and is about applying the whole order fluently rather than learning it for the first time.

β–ΈWill the division always work out exactly?

Yes. Every problem is built so each division lands on a whole number, with no remainders, so a wrong answer signals a slip in the order or the arithmetic β€” not a division the student was never meant to attempt.

β–ΈHow is this different from the Grade 5 and 6 sheets?

The maths follows the same rule, but Grade 7 introduces powers β€” squares and cubes that must be evaluated after the brackets but before the multiplication and division β€” and leans on Level 3's multi-step expressions, expecting the speed and accuracy suited to pre-algebra rather than first exposure to the convention.

β–ΈCan I make the problems easier to read?

Yes β€” switch on the easy-read font for cleaner numerals and more spacing, which helps students who lose their place in long bracketed lines. The Large font size also opens the expressions out, while Small fits more per page.

β–ΈCan I get a fresh set with the same settings?

Press Shuffle. You get brand-new problems at the same grade, difficulty, and count, each with its own shareable link β€” handy for daily practice that never repeats.

β–ΈIs there a Grade 8 order of operations or BODMAS worksheet?

Yes β€” filed under Integers rather than under this topic, because Grade 8 applies the same rule to signed numbers. Start with Order of Operations with Integers at /worksheets/grade-8/integers/order-of-operations/, then Mixed Operations and Powers of Integers at the same grade. The rule is identical β€” brackets, then powers, then Γ— and Γ·, then + and βˆ’ β€” only the numbers change.