MATHEMATICS - ORDER OF OPERATIONS

Order Of Operations Worksheet

  • 10 questions
  • Understand that brackets, positive indices and operations follow a particular order.
  • Difficulty: Medium
  • Board: CAIE
  • Attempt online on the examination portal

Here are the first 3 questions. Click “View all questions” to see the complete assessment.

Q1.

Evaluate 4 + 3² × 2.

  1. A) 14
  2. B) 26
  3. C) 98
  4. D) 22

Q2.

Which expression means: subtract 3 from 5, square the result, and then multiply it by 4?

  1. A) 4 (5 − 3 )²
  2. B) 4 × 5 − 3²
  3. C) (4 × 5 − 3 )²
  4. D) [4 (5 − 3 ) ]²

Q3.

Which operation must be completed first in 18 ÷ (3 + 3 ) + 2³ × 4?

  1. A) Divide the first two numbers.
  2. B) Add inside the brackets.
  3. C) Multiply the last two numbers.
  4. D) Evaluate the positive index.

Q4.

Which placement of brackets makes the expression equal to 39?

  1. A) (6 + 2 ) × (5 − 1 )
  2. B) (6 + 2 ) × 5 − 1
  3. C) 6 + 2 × (5 − 1 )
  4. D) 6 + (2 × 5 ) − 1

Q5.

A student evaluates 2 + 3² × 4 as 100. Which explanation gives the correct order and result?

  1. A) Find 3², add 2, and multiply the whole result by 4, giving 44.
  2. B) Multiply 3 by 4, square the product, and add 2, giving 146.
  3. C) Find 3², multiply it by 4, and then add 2, giving 38.
  4. D) Add 2 and 3, square the sum, and multiply by 4, giving 100.

Q6.

For 3² + 24 ÷ 6 × 2, which line should be written after evaluating the index and then completing the next operation?

  1. A) 6 + 4 × 2
  2. B) 9 + 8
  3. C) 9 + 4 × 2
  4. D) 9 + 24 ÷ 12

Q7.

Evaluate 3 [2 + (4² − 10 ) ].

  1. A) 48
  2. B) 24
  3. C) 36
  4. D) 18

Q8.

Which pair of expressions has the same value?

  1. A) 18 ÷ 3 + 2 and 18 ÷ (3 + 2 )
  2. B) 2³ + 4 × 3 and (2³ + 4 ) × 3
  3. C) 5 × (7 − 3 ) + 2 and 5 × 7 − 3 + 2
  4. D) 6 + 2 × 5 and (6 + 2 ) × 2

Q9.

The figure shows a number passing through a calculation machine. What number should appear in the empty output box?

Diagram for question 9: The figure shows a number passing through a calculation machine. What number should appear in the empty…
  1. A) 3
  2. B) 18
  3. C) 6
  4. D) 8

Q10.

Which expression is represented by the operation tree in the figure?

Diagram for question 10: Which expression is represented by the operation tree in the figure?
  1. A) (6 + 2 ) × 3 − 2³
  2. B) 6 + 2 × 3 − 2³
  3. C) (6 + 2 ) × (3 − 2³ )
  4. D) (6 + 2 ) × (3 − 2 )³

What this assessment covers

Concepts Tested

  • order of operations
  • Understand that brackets, positive indices and operations follow a particular order.

Question Mix

  • Medium questions included

Skills you build

  • Understand

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