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Order of Operations Practice

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Order of Operations Practice

Evaluate each expression using the order of operations: brackets, powers and roots, multiplication and division from left to right, then addition and subtraction from left to right. Show your working where asked.

Choose the correct answer

Select one answer for each question.

1.For 7 + 3 × 5, which operation should you do first?
  • Add 7 and 3
  • Multiply 3 by 5
  • Add 3 and 5
  • Multiply 7 by 3
2.Evaluate 24 ÷ 6 + 2 × 7.
  • 18
  • 35
  • 11
  • 42
3.Evaluate (−3)² − 2³.
  • 1
  • 17
  • −1
  • −17
4.Evaluate √(6² + 8²).
  • 14
  • 10
  • 100
  • 7

Evaluate and show your working

Write intermediate steps in order. Remember to work multiplication and division from left to right, and addition and subtraction from left to right.

5.Evaluate 21 − 3 × (2 + 5).
6.Evaluate 4² + 18 ÷ 3 − 5.
7.Evaluate (9 − 3)² ÷ 6 + 4.
8.Freya buys 4 notebooks for $3.80 each and pays with a $20 note. Calculate her change using 20 − 4 × 3.80.
9.Evaluate 36 ÷ 3 × 2 − 5. Show the left-to-right step for division and multiplication.

Check your understanding

Use the matching set and error check to apply the rules in different ways.

10.Match each expression to its value. Use each value once.
  • 5 + 2 × 6
  • (5 + 2) × 6
  • 2³ + 4
  • 18 − 12 ÷ 3
  • (18 − 12) ÷ 3
  • 2
  • 14
  • 42
  • 17
  • 12
11.Matiu writes 5 + 4 × 3 = 27. Explain the error and give the correct calculation and answer.
12.True or false: In 16 − 8 ÷ 2, subtracting 8 before dividing gives the correct order of operations.
TrueFalse
13.Insert brackets into 4 + 2 × 5 so that its value is 30.

3 printable pages

  • Order of Operations Practice, page 1 of 3: Choose the correct answer, Evaluate and show your working

    Page 1

  • Order of Operations Practice, page 2 of 3: Check your understanding

    Page 2

  • Order of Operations Practice, page 3 of 3: 11. Matiu writes 5 + 4 × 3 = 27. Explain the error and give the correct calculation and…

    Page 3

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