Order of operations quiz
A free order of operations quiz for grades 5, 6 and 7 (class 5 to 7): 10 mixed PEMDAS questions, marked one at a time with every step.
🧒 Kids: pick your grade, then answer 10 questions. Tap Check ✓ after each one!
What each grade’s quiz covers
| Grade | Question types | Learn it |
|---|---|---|
| Grade 5 (class 5) | Two operations, left to right, which step first, parentheses and nested brackets, where the brackets go, writing expressions and word problems | 5th grade order of operations |
| Grade 6 (class 6) | Exponents, three or more steps, left to right, nested brackets, true or false and decimals | 6th grade order of operations |
| Grade 7 (class 7) | Negative numbers, decimals, exponents, longer expressions, true or false and word problems | Order of operations with integers |
What is in the quiz?
Pick a grade and answer 10 mixed questions. Some ask for a number, and some ask which step comes first, where the brackets go, or whether a statement is true. Each answer is marked straight away, and Play again gives a fresh quiz every time.
A wrong answer shows the whole expression worked out one step at a time, naming the rule used at each step. That turns every mistake into a short lesson.
Negative answers use the minus key on the number pad, and decimal answers use the point key, so the quiz works on phones and tablets too.
How to use the quiz
- As a check-up: take the quiz for your child’s grade once a week and note the score.
- Read the steps: every wrong answer shows how to work it out. Talk through one together.
- Go back a grade if the score is under 6 out of 10. Most grade 6 mistakes start with grade 5 left-to-right slips.
- For one skill at a time, use the order of operations practice tool and pick a skill.
- To track progress step by step, use the order of operations levels.
You can link straight to a grade: grade 5 · grade 6 · grade 7.
What the score means
| Score | What to do next |
|---|---|
| 9 or 10 | Secure. Try the next grade, or the next level. |
| 7 or 8 | Nearly there. Read the steps for the misses and retake in a few days. |
| 6 or less | Go back to the lessons for the question types missed, or try the grade below. |
Look at which questions were missed, not just the total. Three misses on exponents need a different fix from three misses on brackets.
The errors the quiz shows up
Order of operations mistakes follow a few patterns. Spotting the pattern tells you what to teach next.
- Left to right every time: 3 + 4 × 2 = 14. See PEMDAS.
- × always before ÷: 12 ÷ 3 × 2 = 2. See left to right.
- Brackets from the outside: see parentheses and brackets.
- Squaring too much: 2 × 3² = 36. See order of operations with exponents.
- Sign slips with negatives: see order of operations with integers.
More order of operations practice
- Order of operations practice: 13 skills, from two operations to negative numbers.
- Order of operations calculator with every step, to check homework.
- Order of operations levels: 8 steps from two operations to negatives.
- Printable order of operations worksheet.
For teachers
The quiz works on a projector or interactive whiteboard. Share a link for a grade and each child gets their own random questions. Nothing needs a login, and no student data leaves the device.
Practice questions (answers below)
Ask these out loud or write them down. Check each answer, and ask “how did you get that?” for one or two.
- Grade 5: 4 + 6 × 2
- Grade 5: (4 + 6) × 2
- Grade 5: 18 ÷ 3 × 2
- Grade 5: 2 × [5 + (6 − 2)]
- Grade 6: 3 + 2³
- Grade 6: 2 × 4²
- Grade 6: 0.5 + 2 × 1.5
- Grade 7: −3 + 4 × 2
- Grade 7: (−4)² − 5
- Grade 7: 2 − 3 × 4
Show the answers
- 16
- 20
- 12
- 18
- 11
- 32
- 3.5
- 5
- 11
- −10
Common mistakes
How to teach it at home
Weekly check-in
Same day each week, same grade, note the score.
Beat your score
Children love beating last week’s number.
Explain one
Ask your child to teach you one question.
By grade
More for each grade: Grade 5 math and the CBSE class 5 maths guide; Grade 6 math and the CBSE class 6 maths guide; Grade 7 math and the CBSE class 7 maths guide.
Worksheets and practice
Order of operations worksheet: printable PDF with an answer key. · Make a fresh test
Last reviewed
Questions parents ask
Is this order of operations quiz free?
Yes, free with no sign-up. Every quiz is new, so it can be used again and again.
Which grade quiz should my child take?
Their school grade. If they score under 6 out of 10, try the grade below first.
Does the quiz use PEMDAS or BODMAS?
Both name the same rules, so the answers are the same. The quiz uses brackets ( ) [ ] { }, powers like 3², and × ÷ + − signs.
What does the grade 7 quiz cover?
Negative numbers, decimals, exponents, longer expressions, true or false questions and word problems.
Can teachers use this quiz in class?
Yes. Share the link for a grade, such as /order-of-operations/quiz/?g=6, and every child gets their own random questions.