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Order of Operations Practice

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Order of Operations Practice

Evaluate brackets first, then powers, then multiplication and division from left to right, and finally addition and subtraction from left to right. Show your working for calculation questions.

Warm-up calculations

1.Work out 9 + 4 × 6.
2.Calculate (18 − 6) ÷ 3.
3.Evaluate 20 − 12 ÷ 4 + 3.
4.In 6 × (10 − 7) + 2², which part should be worked out first?
  • 6 × 10
  • 10 − 7
  • 2²
  • The addition

Powers and mixed operations

5.Calculate 3² + 5 × 4.
6.Work out (7 + 3)² ÷ 4 − 6.
7.At a chess tournament, Sione earns 4 points in each of 3 rounds and then receives a 2-point bonus. He spends 5 points on a badge. Write an expression for how many points he has left, then calculate it.
8.Evaluate 4 × (9 − 2²) + 18 ÷ 3.

Think it through

9.Find the number that makes 5 × (□ − 2) = 25 true.
10.True or false: In 8 + 2 × 5, you add 8 and 2 before multiplying by 5.
TrueFalse
11.Match each expression to its value.
  • 2 × (6 + 1)
  • 3² + 7
  • 24 ÷ 3 + 8
  • 5 × 4 − 4
  • 16
  • 14
  • 16
  • 16
12.Ruben says 12 − 4 ÷ 2 equals 4 because he subtracted first. What is the correct value, and what should he have done first?

3 printable pages

  • Order of Operations Practice, page 1 of 3: Warm-up calculations, Powers and mixed operations

    Page 1

  • Order of Operations Practice, page 2 of 3: Think it through

    Page 2

  • Order of Operations Practice, page 3 of 3: 12. Ruben says 12 − 4 ÷ 2 equals 4 because he subtracted first. What is the correct…

    Page 3

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