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About Integers — Class 6 ICSE

Understand positive and negative numbers, number line representation, and basic operations on integers. This topic is part of the ICSE Class 6 mathematics syllabus (chapter: Chapter 3). 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

  • Introduction to Integers
  • Representation and Ordering of Integers
  • Addition of Integers
  • Subtraction of Integers
  • Absolute Value and Problem Solving

Interactive lesson · about 15 minutes · checkpoint question after every unit

Integers — solved examples for Class 6 ICSE

Example 1easy

Which of the following is a negative integer?
  1. A)5
  2. B)0
  3. C)-3
  4. D)1/2

Step-by-step solution

  1. Integers are whole numbers that can be positive, negative, or zero.
  2. 5 is a positive integer.
  3. 0 is neither positive nor negative.
  4. 1/2 is a fraction, not an integer.
  5. -3 is a negative integer.
    −3<0-3 < 0

Answer: -3

Example 2medium

Arrange the following integers in descending order: -7, 3, -1, 5, 0.
  1. A)5, 3, 0, -1, -7
  2. B)-7, -1, 0, 3, 5
  3. C)5, 3, -1, 0, -7
  4. D)0, -1, 3, 5, -7

Step-by-step solution

  1. Place the numbers on a number line: -7, -1, 0, 3, 5 (ascending).
  2. Reverse the order for descending: 5, 3, 0, -1, -7.

Answer: 5, 3, 0, -1, -7

Example 3hard

The temperature in Leh was -15 degrees C at night and rose to 4 degrees C during the day. What was the total rise in temperature?
  1. A)11 degrees C
  2. B)19 degrees C
  3. C)-19 degrees C
  4. D)-11 degrees C

Step-by-step solution

  1. Rise = Day temperature - Night temperature.
  2. Rise = 4 - (-15) = 4 + 15 = 19 degrees C.
    4−(−15)=4+15=194 - (-15) = 4 + 15 = 19

Answer: 19 degrees C

Practice questions on Integers

  1. Q1.easy

    On a number line, which number lies to the left of 0?
    1. A)3
    2. B)-2
    3. C)1
    4. D)7
    Show answer

    Answer: -2

    Hint: Numbers to the left of 0 on the number line are negative.

  2. Q2.easy

    What is the integer that represents 8 degrees below zero on a thermometer?
    1. A)8
    2. B)-8
    3. C)0
    4. D)-80
    Show answer

    Answer: -8

    Hint: 'Below zero' means a negative temperature.

  3. Q3.easy

    Which of these is the correct order from smallest to largest?
    1. A)-1, -3, 0, 2
    2. B)-3, -1, 0, 2
    3. C)0, -1, -3, 2
    4. D)2, 0, -1, -3
    Show answer

    Answer: -3, -1, 0, 2

    Hint: On a number line, numbers increase from left to right.

  4. Q4.medium

    What is (-15) + 9 + (-4)?
    1. A)-10
    2. B)-28
    3. C)10
    4. D)-2
    Show answer

    Answer: -10

    Hint: Add the numbers step by step, left to right.

  5. Q5.medium

    A shopkeeper made a profit of Rs 500 on Monday and a loss of Rs 700 on Tuesday. What is his net result for the two days?
    1. A)Profit of Rs 200
    2. B)Loss of Rs 200
    3. C)Profit of Rs 1200
    4. D)Loss of Rs 1200
    Show answer

    Answer: Loss of Rs 200

    Hint: Represent profit as positive and loss as negative, then add.

  6. Q6.medium

    What is (-12) - 8?
    1. A)-20
    2. B)-4
    3. C)4
    4. D)20
    Show answer

    Answer: -20

    Hint: Subtracting a positive is the same as adding a negative.

  7. Q7.hard

    Find the value of: (-8) + 12 + (-17) + 3 + (-5).
    1. A)-15
    2. B)15
    3. C)-45
    4. D)45
    Show answer

    Answer: -15

    Hint: Group all positive and all negative numbers separately.

  8. Q8.hard

    A man was standing at a point 8 metres above sea level. He then climbed down 20 metres into a well. At what level is he now?
    1. A)-12 metres
    2. B)12 metres
    3. C)-28 metres
    4. D)28 metres
    Show answer

    Answer: -12 metres

    Hint: Climbing down means subtracting from the current position.

  9. Q9.hard

    If x = -6 and y = -9, what is the value of x - y + |x|?
    1. A)9
    2. B)-9
    3. C)3
    4. D)-3
    Show answer

    Answer: 9

    Hint: Substitute the values, and remember |x| is the absolute value of x.

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