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About Integers & Order of Operations — Class 6 IB

Understand positive and negative integers and apply BODMAS/PEMDAS in calculations. This topic is part of the IB Class 6 mathematics syllabus (chapter: Unit 2). On this page you can practice 60 questions across three difficulty levels — 20 easy, 20 medium, and 20 hard — each with a visual step-by-step solution, plus a timed 35-question mastery test with a live leaderboard. Worked examples and sample questions from the topic are below.

What you'll learn in Integers & Order of Operations

  • Exploring Positive and Negative Integers
  • Adding and Subtracting Integers
  • Multiplying and Dividing Integers
  • Absolute Value and Number Properties
  • Order of Operations with Integers

Interactive lesson · about 20 minutes · checkpoint question after every unit

Integers & Order of Operations — solved examples for Class 6 IB

Example 1easy

What is -3 + 7?
  1. A)4
  2. B)-4
  3. C)10
  4. D)-10

Step-by-step solution

  1. On the number line, -3 + 7 means start at -3, move 7 right.
  2. Result:
    −3+7=4-3 + 7 = 4

Answer: 4

Example 2medium

Evaluate: -3 x 4 + (-2) x 5
  1. A)-22
  2. B)-2
  3. C)22
  4. D)2

Step-by-step solution

  1. First multiplication:
    −3x4=−12-3 x 4 = -12
  2. Second multiplication:
    (−2)x5=−10(-2) x 5 = -10
  3. Add:
    −12+(−10)=−22-12 + (-10) = -22

Answer: -22

Example 3hard

Evaluate: (-3)^3 + (-2)^4 - (-5)^2
  1. A)-36
  2. B)-14
  3. C)-18
  4. D)14

Step-by-step solution

  1. (-3)^3 = -27 (odd power, negative)
  2. (-2)^4 = 16 (even power, positive)
  3. (-5)^2 = 25 (even power, positive)
  4. Combine:
    −27+16−25=−36-27 + 16 - 25 = -36

Answer: -36

Practice questions on Integers & Order of Operations

  1. Q1.easy

    What is 5 + (-8)?
    1. A)-3
    2. B)3
    3. C)13
    4. D)-13
    Show answer

    Answer: -3

    Hint: Adding a negative number is the same as subtracting.

  2. Q2.easy

    Which integer is greater: -5 or -2?
    1. A)-5
    2. B)-2
    3. C)They are equal
    4. D)Cannot determine
    Show answer

    Answer: -2

    Hint: On the number line, numbers to the right are greater.

  3. Q3.easy

    What is -6 - 3?
    1. A)-9
    2. B)-3
    3. C)3
    4. D)9
    Show answer

    Answer: -9

    Hint: Subtracting from a negative makes it more negative.

  4. Q4.medium

    The temperature dropped from 8 degrees C to -7 degrees C. What was the total drop?
    1. A)15 degrees
    2. B)1 degree
    3. C)-1 degree
    4. D)13 degrees
    Show answer

    Answer: 15 degrees

    Hint: Find the difference between the two temperatures.

  5. Q5.medium

    Evaluate: (-6)^2
    1. A)36
    2. B)-36
    3. C)12
    4. D)-12
    Show answer

    Answer: 36

    Hint: Squaring means multiplying the number by itself.

  6. Q6.medium

    Evaluate: 15 - 3 x (4 - 7)
    1. A)24
    2. B)6
    3. C)-36
    4. D)36
    Show answer

    Answer: 24

    Hint: Brackets first: 4 - 7 = -3. Then multiply, then subtract.

  7. Q7.hard

    A mountaineer starts at an altitude of -50 m (below sea level). She climbs 320 m, then descends 85 m, then climbs another 140 m. What is her final altitude?
    1. A)325 m
    2. B)375 m
    3. C)275 m
    4. D)425 m
    Show answer

    Answer: 325 m

    Hint: Start at -50, add for climbs, subtract for descents.

  8. Q8.hard

    Evaluate: -2 x [(-3)^2 - 4 x (5 - 8)]
    1. A)-42
    2. B)42
    3. C)-6
    4. D)6
    Show answer

    Answer: -42

    Hint: Innermost brackets first, then powers, then multiply within the square brackets, then the final multiplication.

  9. Q9.hard

    Find two integers whose sum is -7 and whose product is 12.
    1. A)-3 and -4
    2. B)3 and -4
    3. C)-3 and 4
    4. D)6 and -2
    Show answer

    Answer: -3 and -4

    Hint: Both must be negative (positive product, negative sum).

These are 9 of the 60 questions available for Integers & Order of Operations. Start practicing above to unlock visual solutions, AI coaching, and the topic leaderboard — completely free.