For class, tutoring, or a quick practice at home

Mixed arithmetic worksheet generator

Put addition, subtraction, multiplication, and division on the same page when the individual methods are already familiar. This is useful for checking whether a learner reads the sign before starting, not for introducing all four operations at once.

Free to use · no sign-up · adjustable difficulty · print or save as PDF · separate answer key

Mixed worksheet modules

Select one or more modules and set the question count for each. Leave all unchecked to use the page topic.

Advanced arithmetic settings
Operators
Print fields and style
View worksheet

For a clean printout, turn off “Headers and footers” in the print dialog. One-click PDF never includes the date, page title, or web address.

This worksheet is made on your device. We do not ask for student details.

Name: ____________________Date: ____________________
1.7 × 7 =
2.32 ÷ 8 =
3.6 × 7 =
4.24 + 30 =
5.36 − 11 =
6.29 + 37 =
7.40 ÷ 4 =
8.144 ÷ 12 =
9.80 ÷ 8 =
10.38 − 5 =
11.100 ÷ 10 =
12.15 × 1 =
13.6 × 8 =
14.4 × 6 =
15.49 − 5 =
16.33 ÷ 3 =
17.17 − 7 =
18.8 − 5 =
19.8 + 14 =
20.47 + 46 =
Answer key
1. 49
2. 4
3. 42
4. 54
5. 25
6. 66
7. 10
8. 12
9. 10
10. 33
11. 10
12. 15
13. 48
14. 24
15. 44
16. 11
17. 10
18. 3
19. 22
20. 93
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What this worksheet practises

  • Recognize operation symbols
  • Switch strategies without losing accuracy
  • Choose an appropriate inverse operation to check

What appears on the sheet

  • Each question contains one operation selected from addition, subtraction, multiplication, and division.
  • Number ranges follow the selected difficulty rules for that operation.
  • Subtraction stays non-negative and division has no remainder.

Make a sheet in three steps

Choose the level and question count, generate the sheet, then print or download it. Keep the seed if you want exactly the same questions again.

Algorithms

Choose a method for this problem type

CategoryNumber and operations · mixed practice
Problem patternChoosing an operation before calculating
Worked example72 ÷ 8 and 9 × 6

How to recognize it

  • Each item contains one operation symbol.
  • The method changes when the symbol changes, even if the numbers look similar.
+−×÷inverse pairinverse pair
Four operation symbols connected to their inverse-operation pairs.
01
Visual model

Symbol first

Best for: Avoiding carry-over from the previous question

Name or mark the operation before reading the numbers.

  1. Circle the operation symbol.
  2. Say the operation name.
  3. Choose a matching calculation method.

Trade-off: A useful accuracy routine, though it is not itself a calculation shortcut.

02
Mental strategy

Fact-family connection

Best for: Switching between multiplication and division

Use the inverse relationship to retrieve a known fact.

  1. Read 72 ÷ 8 as “8 times what is 72?”
  2. Recall 8 × 9 = 72.
  3. Record the quotient 9.

Trade-off: Fast when related facts are secure; otherwise use a representation or chart.

Check the resultCheck each result with its inverse operation, not with the operation used in the preceding item.

Standards

Grade and standards reference

These mappings are planning references, not certification of curriculum alignment.

Mixed arithmeticGrades 2, 3, 4, 5CCSS OA / NBT
DecimalsGrades 4, 5, 6CCSS 4.NF.C / 5.NBT.B
MoneyGrades 2, 3, 4, 5CCSS 2.MD.C.8
Number lineGrades 1, 2, 3, 4, 5, 6CCSS 2.MD.B / 3.NF.A
Two-step word problemsGrades 2, 3, 4, 5CCSS 3.OA.D.8
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Teaching notes

  • Ask learners to circle the operation symbol first.
  • Review errors by operation rather than only by total score.
04

Questions teachers and parents ask

What is mixed arithmetic practice?

It combines different operations on one sheet so learners must identify the operation before calculating. This generator mixes single-operation addition, subtraction, multiplication, and division questions.

Does “mixed” mean order of operations?

No. Each item contains one operation; the worksheet mixes operation types across the page.

Who benefits from mixed practice?

Learners who know individual operations and need practice choosing between them.

05

Teach the idea, then practise it

Learning goals

  • Identify the operation shown before choosing a calculation strategy.
  • Switch efficiently between additive and multiplicative reasoning.
  • Diagnose errors by operation and strategy rather than total score alone.

Quick understanding checks

  • The learner can explain why the displayed operation fits the chosen method.
  • Errors are recorded by operation so the next focused practice has a clear purpose.

Suggested teaching progression

  1. SecureReach reliable accuracy in each operation separately.
  2. ContrastCompare pairs of visually similar questions using different operations.
  3. InterleaveUse short mixed sets and review which cue triggered each strategy.

Common misconceptions and responses

The learner continues using the previous question’s operation.

Pause to name or mark the symbol before any numbers are calculated.

A mixed sheet is mistaken for an order-of-operations exercise.

Clarify that each generated item has one operation; operation order is a separate learning goal.

06

Curriculum and teaching references

These external sources provide curriculum context or evidence-informed teaching guidance. They do not endorse this generator, and local curriculum requirements should take priority.

Content reviewExplanations and examples reviewed 9 October 2026. Found a problem? Send a correction

07

Focused worksheet sets

Daily 20 mixed arithmetic questionsCreate a daily printable set of 20 single-operation addition, subtraction, multiplication, and division questions.Decimal addition worksheetsPrint 20 decimal addition questions to hundredths, with clean exact answers.Making change worksheetsCreate 20 printable shopping questions about prices, payment, and change.Number line worksheetsPrint 20 number-line sequences with one missing value and a separate answer key.Two-step word problem worksheetsPrint 10 two-step addition and subtraction word problems with an answer key.
08

More worksheet makers

Addition worksheet generatorMental addition or written addition with carrying.Subtraction worksheet generatorSubtraction with a choice of borrowing rules.Multiplication worksheet generatorMultiplication facts or multi-digit calculation.Division worksheet generatorExact division or division with remainders.Fractions worksheet generatorProper-fraction addition with like or unlike denominators.One-step equations worksheet generatorOne-step addition and multiplication equations.Area and perimeter worksheet generatorLabelled diagrams for area, perimeter and missing sides.Unit conversion worksheet generatorLength, mass, volume and area conversions.
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