Order of Operations Quiz
Practice brackets, powers and BODMAS/PEMDAS step by step.
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Start an Easy, Intermediate, Advanced or Mixed round. Select one of four answers, check it, and read the full explanation before continuing. Each focused round has five questions; a mixed round has ten. Review missed questions at the end, then try another round.
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Yes. Every round is free, with answers, explanations and no registration requirement.
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Choose Easy, Intermediate or Advanced for a focused five-question round, or Mixed for ten questions from all levels. Try again to improve your personal best.
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What BODMAS and PEMDAS really mean
The order of operations helps everyone evaluate an expression the same way. Work inside brackets or parentheses first, then powers, then multiplication and division, and finally addition and subtraction. PEMDAS and BODMAS express the same priority rules. Multiplication does not always come before division, and addition does not always come before subtraction.
Operations at the same priority go left to right
In 24 ÷ 6 × 2, evaluate division and multiplication from left to right: 24 ÷ 6 = 4, then 4 × 2 = 8. For 10 − 4 + 3, work left to right to get 9. Treating the acronym as a strict multiplication-before-division rule leads to avoidable errors.
Nested parentheses and powers
For 4 × [8 − (3 + 2)]², evaluate 3 + 2 = 5, then 8 − 5 = 3, square to 9 and multiply by 4: 36. Write down one step at a time instead of doing every operation mentally. Use the Scientific Calculator afterward to confirm, and review missed questions for recurring priority mistakes.
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