Order of Operations (PEMDAS) Quiz

Grade 6 · Math · Quiz

Test your ability to evaluate expressions using the correct order of operations.

Questions

1. Evaluate: 8 + 6 ÷ 2

   1. 11
   2. 7
   3. 17
   4. 14
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   Answer: 11

   Division first: 6÷2=3. Then add: 8+3=11.

2. 3² + (7 − 2) × 4 = ___

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   Answer: 29

   Exponent: 3²=9. Parentheses: 7−2=5. Multiply: 5×4=20. Add: 9+20=29.

3. Which operation do you perform first in: 5 × 3 + 2² − 1?

   1. Exponent (2²)
   2. Multiplication (5×3)
   3. Addition (3+2)
   4. Subtraction (−1)
   Show answer

   Answer: Exponent (2²)

   There are no parentheses, so exponents come next (step 2). 2²=4.

4. In PEMDAS, you always add before you subtract.

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   Answer: False

   Addition and subtraction have equal priority — work left to right, not always add first.

5. Evaluate: (3 + 7) × (10 − 4)

   1. 60
   2. 19
   3. 100
   4. 37
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   Answer: 60

   Both parentheses first: 3+7=10 and 10−4=6. Then multiply: 10×6=60.

6. Evaluate: 20 ÷ 4 × 2

   1. 10
   2. 2.5
   3. 40
   4. 20
   Show answer

   Answer: 10

   Multiplication and division left to right: 20÷4=5, then 5×2=10.

7. 2 + 3 × 4 − 1 = ___

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   Answer: 13

   Multiply first: 3×4=12. Then left to right: 2+12=14, 14−1=13.

8. 5 + 3 × 2 = 16

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   Answer: False

   Multiply first: 3×2=6. Then add: 5+6=11. So 5+3×2=11, not 16.

9. Evaluate: 4² − (6 + 2) ÷ 4

   1. 14
   2. 8
   3. 18
   4. 2
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   Answer: 14

   Exponent: 4²=16. Parentheses: 6+2=8. Division: 8÷4=2. Subtract: 16−2=14.

10. Which expression has a value of 20?

    1. (3 + 2) × 4
    2. 3 + 2 × 4
    3. 3 × 2 + 4²
    4. 3² + 2 × 4
    Show answer

    Answer: (3 + 2) × 4

    (3+2)×4 = 5×4 = 20. Other options: 3+2×4=11; 3×2+16=22; 9+8=17.

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