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About Integers — Class 6 CBSE

Represent integers on the number line; perform addition and subtraction of positive and negative numbers. This topic is part of the CBSE Class 6 mathematics syllabus (chapter: Chapter 10). On this page you can practice 59 questions across three difficulty levels — 20 easy, 20 medium, and 19 hard — each with a visual step-by-step solution, plus a timed 34-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
  • Representing and Ordering Integers
  • Addition of Integers (Number Line Method)
  • Subtraction of Integers (Number Line Method)
  • Summary, Practice, and Key Connections

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

Integers — solved examples for Class 6 CBSE

Example 1easy

Which of the following statements about integers is TRUE?
  1. A)All whole numbers are integers.
  2. B)All fractions are integers.
  3. C)All negative numbers are not integers.
  4. D)Zero is not an integer.

Step-by-step solution

  1. Whole numbers include 0, 1, 2, 3, ...
  2. Integers include ..., -3, -2, -1, 0, 1, 2, 3, ...
  3. Since all whole numbers are present in the set of integers, the statement 'All whole numbers are integers' is true.

Answer: All whole numbers are integers.

Example 2medium

The temperature in Srinagar was -5°C on Monday. It then dropped by 3°C on Tuesday. On Wednesday, it rose by 7°C. What was the temperature on Wednesday?
  1. A)-1°C
  2. B)-8°C
  3. C)5°C
  4. D)9°C

Step-by-step solution

  1. Temperature on Monday = -5°C.
  2. Temperature dropped by 3°C on Tuesday, so Tuesday's temperature = -5°C - 3°C = -8°C.
  3. Temperature rose by 7°C on Wednesday, so Wednesday's temperature = -8°C + 7°C = -1°C.

Answer: -1°C

Example 3hard

A grasshopper is at position -8 on a number line. It jumps 15 units to the right, then 7 units to the left, and finally 10 units to the right. What is its final position?
  1. A)-10
  2. B)0
  3. C)5
  4. D)10

Step-by-step solution

  1. Starting position: -8
  2. First jump (15 units right): -8 + 15 = 7
  3. Second jump (7 units left): 7 - 7 = 0
  4. Third jump (10 units right): 0 + 10 = 10. So, the final position is 10.

Answer: 10

Practice questions on Integers

  1. Q1.easy

    A number line shows points. Point P is at -3. If point R is located 5 units to the right of P, what integer does R represent?
    1. A)2
    2. B)-8
    3. C)5
    4. D)8
    Show answer

    Answer: 2

    Hint: Moving to the right on a number line means adding.

  2. Q2.easy

    Which of the following comparisons between integers is correct?
    1. A)-5 > 2
    2. B)0 < -3
    3. C)-7 < -4
    4. D)1 > 6
    Show answer

    Answer: -7 < -4

    Hint: On a number line, numbers to the right are always greater than numbers to the left.

  3. Q3.easy

    A diver is at a depth of 50 meters below sea level. If 'sea level' is represented by 0, how would you represent the diver's position as an integer?
    1. A)50
    2. B)-50
    3. C)0
    4. D)100
    Show answer

    Answer: -50

    Hint: "Below sea level" indicates a negative value relative to zero.

  4. Q4.medium

    Arrange the following integers in ascending order: -10, 5, -3, 0, 8, -1.
    1. A)-10, -3, -1, 0, 5, 8
    2. B)8, 5, 0, -1, -3, -10
    3. C)-1, -3, -10, 0, 5, 8
    4. D)0, -1, -3, 5, 8, -10
    Show answer

    Answer: -10, -3, -1, 0, 5, 8

    Hint: On a number line, numbers to the left are smaller. The further a negative number is from zero, the smaller its value.

  5. Q5.medium

    Which of the following statements correctly describes the result of starting at -2 on a number line and moving 6 units to the right, then 4 units to the left?
    1. A)You land on 8
    2. B)You land on 0
    3. C)You land on -4
    4. D)You land on -8
    Show answer

    Answer: You land on 0

    Hint: Moving to the right on a number line means adding, and moving to the left means subtracting.

  6. Q6.medium

    Evaluate: 15 + (-8) - (-12) + (-5)
    1. A)14
    2. B)4
    3. C)-4
    4. D)10
    Show answer

    Answer: 14

    Hint: Remember the rules for adding and subtracting integers, especially when dealing with double negative signs.

  7. Q7.hard

    Which of the following expressions has the greatest value?
    1. A)-15 + (-8) - (-12)
    2. B)20 - (-5) + (-10)
    3. C)-30 - 10 + 25
    4. D)-5 + 15 - 20
    Show answer

    Answer: 20 - (-5) + (-10)

    Hint: Evaluate each expression carefully, remembering that subtracting a negative number is the same as adding a positive number.

  8. Q8.hard

    A diver is 30 meters below sea level. He then ascends 12 meters, and after a short break, descends another 8 meters. What is his final depth relative to sea level?
    1. A)-26 meters
    2. B)-10 meters
    3. C)14 meters
    4. D)26 meters
    Show answer

    Answer: -26 meters

    Hint: Represent 'below sea level' with negative integers, 'ascends' as addition, and 'descends' as subtraction.

  9. Q9.hard

    Which of the following statements is ALWAYS true for any non-zero integer 'a'?
    1. A)a + (-a) > 0
    2. B)a - (-a) = 0
    3. C)The additive inverse of 'a' is -a.
    4. D)-a is always a negative integer.
    Show answer

    Answer: The additive inverse of 'a' is -a.

    Hint: Consider different types of non-zero integers (positive and negative) for 'a' when evaluating each statement.

These are 9 of the 59 questions available for Integers. Start practicing above to unlock visual solutions, AI coaching, and the topic leaderboard — completely free.