Order of Operations Quiz

15 questions · free · new questions every attempt · Updated September 26, 2026

Order of Operations Quiz – free practice

The order of operations decides what to calculate first when an expression contains several operations. Get it wrong and every later step is wrong too. This quiz gives you fresh expressions each time and explains the order that produces the right answer.

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What this quiz covers

  • Brackets first
  • Then exponents
  • Multiplication and division from left to right
  • Addition and subtraction from left to right
  • Expressions with nested operations
  • Avoiding the common “left to right” mistake

How to prepare

Rewrite the expression after each step so you never lose track. Underline the part you are about to calculate. Remember that multiplication and division share a level and so do addition and subtraction, so the tie is broken by working left to right. Read the full PEMDAS guide for traps.

Sample questions with answers

These five questions show the style. Your quiz above will have different numbers each time.

  1. Evaluate: 6 + 3 × (2 − 4)
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    0. Follow the order of operations: brackets first, then multiply and divide left to right, then add and subtract.

  2. Evaluate: 7 × 4² ÷ 4 + 3
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    31. Brackets, then exponents, then multiply/divide, then add/subtract.

  3. Evaluate: 7 + 9 × 6
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    61. Follow the order of operations: brackets first, then multiply and divide left to right, then add and subtract.

  4. Evaluate: 6 × 4² ÷ 4 + 3
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    27. Brackets, then exponents, then multiply/divide, then add/subtract.

  5. Evaluate: 7 × 5 − 6 × 4
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    11. Follow the order of operations: brackets first, then multiply and divide left to right, then add and subtract.

Frequently asked questions

What does PEMDAS stand for?

Parentheses, Exponents, Multiplication and Division, Addition and Subtraction.

Is BODMAS the same?

Yes. Brackets, Orders, Division and Multiplication, Addition and Subtraction. It is the same set of rules.

What if there are two multiplications in a row?

Work from left to right.

Keep practising

Reviewed September 26, 2026 by the SolveCalcPro editorial team. Questions are generated from tested formulas. Spot a mistake? Tell us.