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Understanding Operations Worksheet

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Understanding Operations Worksheet

Work through each section. Show calculations where asked. For order of operations, evaluate brackets first, then products and quotients from left to right, then addition and subtraction from left to right.

Recognising operations

Identify the operation symbol in each number sentence, then match each operation to its meaning.

1.Write the symbol that belongs in the blank: 36 __ 19 = 55.
2.Write the symbol that belongs in the blank: 72 __ 28 = 44.
3.Write the symbol that belongs in the blank: 8 __ 11 = 88.
4.Write the symbol that belongs in the blank: 63 __ 9 = 7.
5.Match each operation to the description that best explains it.
  • Addition (+)
  • Subtraction (−)
  • Repeated addition (×)
  • Division (÷)
  • Adding equal-sized groups
  • Combining quantities
  • Sharing or splitting into equal groups
  • Finding how much remains or the difference

Calculate and choose operations

Solve each calculation. Give an exact answer.

6.Calculate 46 + 37.
7.Calculate 103 − 58.
8.Calculate 14 × 8.
9.Calculate 144 ÷ 12.
10.A garden has 28 rows with 15 seedlings in each row. Which operation would find the total number of seedlings?
  • Addition
  • Subtraction
  • Repeated addition
  • Division
11.A club shares 96 tickets equally among 8 groups. Which operation would find the number of tickets per group?
  • Addition
  • Subtraction
  • Repeated addition
  • Division

Order of operations

Use the correct order of operations. Work through brackets first, then products or quotients, then addition or subtraction.

12.Evaluate 7 + 5 × 6.
13.Evaluate (13 − 4) × 7.
14.Evaluate 56 ÷ 8 + 12.
15.Evaluate 30 − (4 + 3) × 2.
16.Which operation should be carried out first in 9 + 6 × 3?
  • Addition
  • Repeated addition
  • Either operation gives the same result
17.Which operation should be carried out first in (15 − 7) ÷ 4?
  • Subtraction inside the brackets
  • Division
  • Either operation gives the same result
18.Evaluate 48 ÷ 6 × 2, working from left to right for division and multiplication.

Explain and extend

Use examples and calculations to show your understanding.

19.Describe what multiplication means, and include a number sentence that demonstrates your explanation.
20.Evaluate 3 + 4 × 5 and (3 + 4) × 5. Explain why the answers differ.
21.Write one number sentence using addition that equals 36.
22.Write one number sentence using subtraction that equals 36.
23.Write one number sentence using multiplication that equals 36.
24.Write one number sentence using division that equals 36.
25.Complete the expression with whole numbers and operation symbols so it is true: (___ ___ ___) ___ ___ = 40. Use at least one pair of brackets.

4 printable pages

  • Understanding Operations Worksheet, page 1 of 4: Recognising operations

    Page 1

  • Understanding Operations Worksheet, page 2 of 4: Calculate and choose operations

    Page 2

  • Understanding Operations Worksheet, page 3 of 4: Order of operations

    Page 3

  • Understanding Operations Worksheet, page 4 of 4: Explain and extend

    Page 4

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