Mixed OperationsGrade 6Mixed Review

Grade 6 Mixed Operations Mixed Review

Grade 6 mixed operations mixed review sheet: 30 problems on order of operations with exponents, all four operations with multi-digit numbers, expressions with parentheses, two-step expressions.

CCSSAligned to Common Core 6.EE.1: Write and evaluate numerical expressions involving whole-number exponents.

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Three different problem sets — same skill, same layout, fresh numbers.

Preview — Set A

Solve each problem. Read carefully — the problems change shape as you go.

  1. 1.
    9 × 4² =
  2. 2.
    56 ÷ 8 =
  3. 3.
    94 + 12 × 9 =
  4. 4.
    (12 + 10) × 9 =
  5. 5.
    7 × 4² =
  6. 6.
    28 ÷ 4 =
  7. 7.
    36 ÷ 6 + 12 =
  8. 8.
    (8 ÷ 4) + 4 =
  9. 9.
    5² + 10 =
  10. 10.
    824 + 150 =
  11. 11.
    3 × 4 - 97 =
  12. 12.
    (3 + 6) × 2 =
  13. 13.
    4 × 4² =
  14. 14.
    28 ÷ 7 =
  15. 15.
    11 × 5 - 67 =
  16. 16.
    (60 ÷ 5) + 12 =
  17. 17.
    (4 + 8)² =
  18. 18.
    708 - 640 =
  19. 19.
    64 ÷ 8 + 10 =
  20. 20.
    7 × (23 - 11) =
  21. 21.
    6² + 2 =
  22. 22.
    317 - 311 =
  23. 23.
    48 ÷ 8 + 4 =
  24. 24.
    7 × (13 - 6) =
  25. 25.
    5² + 1 =
  26. 26.
    612 + 580 =
  27. 27.
    26 + 2 × 7 =
  28. 28.
    (3 + 5) × 9 =
  29. 29.
    2² + 1 =
  30. 30.
    696 + 469 =

What this worksheet covers

There are 30 mixed operations problems here — one page to work, one page of answers to check against — and Sets B and C repeat the layout with different numbers. Two of the 30 problems involve a negative quantity and the expressions carry exponents, so the order of operations decides the answer. Problems 11 and 21, for instance, are "3 × 4 - 97" and "6² + 2". Common Core 6.EE.1 is the slot this page fills.

Skills practised

Grade 6 mixed operations means order of operations with exponents and multi-digit work in all four operations. What a student is asked to do here is order of operations with exponents, all four operations with multi-digit numbers, and expressions with parentheses. To finish it, a student has to carry or borrow across place-value columns without losing a digit, track direction as well as magnitude, and apply the order of operations to powers. 25 different answers appear across the 30 problems, so a student cannot copy one result down the page.

About the mixed review format

Mixed review changes the problem shape as the page goes on, so the 30 problems here cover four different skills rather than one procedure repeated; problem 11, "3 × 4 - 97" sits next to problems of a different kind. This format is the operation's natural home: every problem shape the grade knows, in no fixed order.

Set A, Set B and Set C

All three sets are produced by the site's deterministic generator from a fixed seed, so they are the same every time the site is built and the answer keys are exact. Where Set A's problem 16 is "(60 ÷ 5) + 12", Set B's is "(3 + 6)²".

How to use this worksheet

Work it without a calculator. Every one of the 30 mixed operations problems is designed to be done by hand, and reaching for a calculator at grade 6 skips exactly the reasoning being built. Print Set B of this mixed operations mixed review before writing on Set A; the same skill worked twice a week apart tells you far more than once.

One mistake to watch for

The operation sign is ignored: every problem on a mixed page is added. On this grade 6 mixed review, problem 21 ("6² + 2") is the kind of item where it shows.

Sign reading is not yet part of the routine because most practice pages only carry one operation.

Have the student circle or trace every operation sign before solving anything on the page.

The full guide to teaching mixed operationsTeaching mixed operations and order of operations: the grade 1–8 progression, why PEMDAS misleads, and how interleaved practice builds operation sense.

Other grade 6 mixed operations formats

The same skill in the other formats available at this grade.

  • DrillGrade 6 Mixed Operations Drill, 30 problems
  • Timed DrillGrade 6 Mixed Operations Timed Drill, 60 problems
  • Missing NumberGrade 6 Mixed Operations Missing Number, 24 problems
  • Word ProblemsGrade 6 Mixed Operations Word Problems, 10 problems

A step either side

The same format one grade down and one grade up — the easier sheet is often the faster fix when this one is not landing.

Mixed Review sheets in other grade 6 topics

No paywall and no account — download any set of this grade 6 mixed operations mixed review, and the answers for all 30 problems are in the matching key.

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