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Order of operations worksheets

Twenty expressions to solve in the right order, such as 3 + 4 × 2 and (3 + 4) × 2, in three versions with answer keys.

Order of operations: three numbers, with or without parentheses

NameDate

Solve. Do the operations in the right order.

  1. 2 + 9 ÷ 9 =
  2. (7 − 3) × 11 =
  3. (4 + 10) × 9 =
  4. 4 × (7 + 11) =
  5. 7 × 6 − 4 =
  6. (7 + 2) × 8 =
  7. 5 × (12 + 10) =
  8. 3 × 10 + 7 =
  9. 9 + 7 × 10 =
  10. 10 + 3 × 8 =
  11. 6 × (12 + 8) =
  12. 4 × 11 − 10 =
  13. 3 ÷ 3 + 3 =
  14. 3 × 5 + 3 =
  15. 4 × (11 + 12) =
  16. (3 + 4) × 3 =
  17. 11 × 10 + 8 =
  18. 8 × 8 − 12 =
  19. (5 + 9) × 2 =
  20. 9 + 10 × 2 =
Sheet AFree at teach.peabody.kids

Order of operations: three numbers, with or without parentheses

NameDate

Solve. Do the operations in the right order.

  1. 10 × 7 − 7 =
  2. 3 + 12 × 7 =
  3. 3 + 4 × 4 =
  4. 9 + 7 × 7 =
  5. (8 − 2) × 12 =
  6. 4 + 3 ÷ 3 =
  7. 6 × 9 − 3 =
  8. 5 + 10 × 11 =
  9. 5 + 2 × 12 =
  10. 5 × 11 + 3 =
  11. 7 + 8 × 4 =
  12. 2 × 7 − 11 =
  13. 4 × 4 − 3 =
  14. 3 × (11 + 6) =
  15. 2 × (8 + 11) =
  16. 5 + 3 × 4 =
  17. 12 × 3 + 10 =
  18. 3 × (11 + 12) =
  19. (5 + 5) × 11 =
  20. 9 × 2 − 9 =
Sheet BFree at teach.peabody.kids

Order of operations: three numbers, with or without parentheses

NameDate

Solve. Do the operations in the right order.

  1. (8 − 4) × 8 =
  2. (10 − 8) × 6 =
  3. 6 × (7 + 10) =
  4. (5 + 7) × 3 =
  5. 5 × 5 + 11 =
  6. 2 × 4 + 8 =
  7. 4 × (11 + 7) =
  8. 3 + 10 × 6 =
  9. (2 + 9) × 5 =
  10. (6 − 2) × 6 =
  11. (3 + 6) × 5 =
  12. 2 × 4 + 12 =
  13. 4 + 9 × 2 =
  14. 11 × 12 + 12 =
  15. (12 − 3) × 7 =
  16. (11 − 9) × 6 =
  17. 6 + 12 ÷ 3 =
  18. 11 × 11 + 3 =
  19. (11 − 10) × 5 =
  20. 8 ÷ 2 + 2 =
Sheet CFree at teach.peabody.kids

Answer key

Sheet A

  1. 3
  2. 44
  3. 126
  4. 72
  5. 38
  6. 72
  7. 110
  8. 37
  9. 79
  10. 34
  11. 120
  12. 34
  13. 4
  14. 18
  15. 92
  16. 21
  17. 118
  18. 52
  19. 28
  20. 29

Sheet B

  1. 63
  2. 87
  3. 19
  4. 58
  5. 72
  6. 5
  7. 51
  8. 115
  9. 29
  10. 58
  11. 39
  12. 3
  13. 13
  14. 51
  15. 38
  16. 17
  17. 46
  18. 69
  19. 110
  20. 9

Sheet C

  1. 32
  2. 12
  3. 102
  4. 36
  5. 36
  6. 16
  7. 72
  8. 63
  9. 55
  10. 24
  11. 45
  12. 20
  13. 22
  14. 144
  15. 63
  16. 12
  17. 10
  18. 124
  19. 5
  20. 6
Answer keyFree at teach.peabody.kids

Order of operations: 20 problems a sheet, 3 versions that do not repeat each other where the numbers allow.

How to use it

  1. Look at the sheet: it is a real, printable sheet. Switch between Sheet A, B and C, or press New numbers (N) for a fresh set.
  2. Change how many problems, how many versions, and whether the key prints. Settings stay in this browser; Share copies a link that rebuilds the same sheets.
  3. Press Print sheet A and key, or Print all. The answer key prints on its own page, so you can keep it back.

Ideas for class

  • Have students underline the part they will do first before they calculate. It slows them down enough to see the structure.
  • Rewrite the expression after each step on a new line, so a mistake can be traced.
  • Follow this sheet a week later with the exponents version from the maker, and ask students which rule they now apply first.

Related

Questions

Are there any remainders or fractions in the answers?

No. A division in an expression is only used when it divides exactly, so every answer is a whole number. A sheet with exponents or brackets is a separate level in the maker.

Why are some answers the same whichever order is used?

A few expressions happen to give the same result either way. They are worth pointing out, but most problems on the sheet depend on the order.

Are the answer keys checked?

Each answer is worked out by the code that wrote the problem, and our tests recompute every answer a second way and compare. Please still look over the key before you grade a class set.

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What this worksheet covers

Order of operations is the agreement that multiplication and division are done before addition and subtraction, and that parentheses go first. Each problem here has three numbers and two operations, with or without parentheses, so that the same numbers can give different answers depending on the order. Every division is exact and every answer is a whole number of at least 1.

Who it is for

Fifth grade. Common Core 5.OA.A.1 asks students to use parentheses, brackets or braces in numerical expressions and to evaluate them. It comes before expressions with exponents, which are on their own sheet.

Doing operations in the right order, with parentheses · grade 5

A worked example

3 + 4 × 2: multiply first, 4 × 2 = 8, then add 3 to get 11. But (3 + 4) × 2: the parentheses come first, 7 × 2 = 14. The same three numbers and two signs give 11 and 14. Show both on the board and ask which students would have said first.

Mistakes to watch for

  • Working strictly left to right, so 3 + 4 × 2 becomes 14. Ask which operation comes first and why.
  • Doing addition before subtraction or multiplication before division as if one always went first. Equal-ranking operations go left to right.

Make it your own

This sheet is one setting of the math worksheet generator. Open it there to change the skill, the range of numbers or the heading, or to mix several skills on one sheet.