Integers Worksheet for Class 6

Integers Worksheet for Class 6

Name: __________________________
Date: __________________________
Class: 6

Instructions

Solve all questions carefully. Show your working where required.

A. Identify Positive and Negative Integers

Write positive, negative, or zero.

  1. (+8) = __________________
  2. (-12) = __________________
  3. (0) = __________________
  4. (+25) = __________________
  5. (-7) = __________________
  6. (-30) = __________________
  7. (+15) = __________________
  8. (0) = __________________

B. Write the Opposite Integer

  1. Opposite of (+7) = ______
  2. Opposite of (-9) = ______
  3. Opposite of (+15) = ______
  4. Opposite of (-20) = ______
  5. Opposite of (0) = ______
  6. Opposite of (+32) = ______
  7. Opposite of (-45) = ______

C. Compare the Integers

Use >, <, or =.

  1. (5) _____ (-3)
  2. (-7) _____ (-2)
  3. (-10) _____ (-10)
  4. (0) _____ (-8)
  5. (12) _____ (15)
  6. (-15) _____ (-20)
  7. (6) _____ (-6)
  8. (-25) _____ (5)
  9. (18) _____ (18)

D. Arrange the Integers

Arrange from smallest to greatest.

  1. (4, -2, 7, -5, 0)

  1. (-8, 3, -1, 6, -4)

  1. (10, -10, 5, -5, 0)

  1. (-12, -3, -15, 2, 8)

  1. (7, -9, 4, -1, 0)

E. Addition of Integers

  1. (7 + 5 =) ______
  2. (-6 + (-4) =) ______
  3. (12 + (-7) =) ______
  4. (-15 + 8 =) ______
  5. (-9 + (-11) =) ______
  6. (20 + (-13) =) ______
  7. (-18 + 25 =) ______
  8. (14 + (-20) =) ______
  9. (-30 + 12 =) ______
  10. (-16 + 16 =) ______

F. Subtraction of Integers

  1. (12 – 5 =) ______
  2. (8 – 15 =) ______
  3. (-6 – 4 =) ______
  4. (-10 – (-3) =) ______
  5. (15 – (-5) =) ______
  6. (-20 – 8 =) ______
  7. (-12 – (-7) =) ______
  8. (25 – 30 =) ______
  9. (18 – (-12) =) ______
  10. (-25 – (-10) =) ______

G. Multiplication of Integers

  1. (6 \times 4 =) ______
  2. ((-5) \times 3 =) ______
  3. ((-7) \times (-2) =) ______
  4. (8 \times (-6) =) ______
  5. ((-9) \times 4 =) ______
  6. ((-10) \times (-5) =) ______
  7. (12 \times (-3) =) ______
  8. ((-8) \times (-4) =) ______

H. Division of Integers

  1. (24 \div 6 =) ______
  2. ((-35) \div 5 =) ______
  3. (42 \div (-7) =) ______
  4. ((-48) \div (-6) =) ______
  5. (72 \div (-8) =) ______
  6. ((-81) \div 9 =) ______
  7. ((-100) \div (-10) =) ______

I. Fill in the Blanks

  1. The integer immediately after (-5) is ______.
  2. The integer immediately before (3) is ______.
  3. The additive inverse of (-12) is ______.
  4. The additive inverse of (18) is ______.
  5. The smallest integer among (-2, -8, 0, 5) is ______.
  6. The greatest integer among (-10, -3, -7, -1) is ______.

J. Word Problems

  1. The temperature was (5^\circ C). It dropped by (9^\circ C). What is the new temperature?

Answer: __________________

  1. A submarine is 30 metres below sea level. Write its position as an integer.

Answer: __________________

  1. A person climbs 12 floors and then goes down 7 floors. If they started at floor 0, which floor are they on?

Answer: __________________

  1. A bank account has a balance of ₹500. A withdrawal of ₹750 is made. What is the new balance?

Answer: __________________

  1. The temperature is (-4^\circ C) in the morning. It rises by (11^\circ C). What is the new temperature?

Answer: __________________

K. Challenge Questions

  1. Find:
    [
    -8+15-6
    ]

Answer: ______

  1. Find:
    [
    20-(-5)+(-12)
    ]

Answer: ______

  1. Find:
    [
    (-6)\times(-4)-10
    ]

Answer: ______

  1. Find:
    [
    (-48)\div6+15
    ]

Answer: ______

  1. Find the missing integer:

[
-7+\Box=12
]

Answer: ______

Answer Key

A

  1. Positive
  2. Negative
  3. Zero
  4. Positive
  5. Negative
  6. Negative
  7. Positive
  8. Zero

B

  1. (-7)
  2. (9)
  3. (-15)
  4. (20)
  5. (0)
  6. (-32)
  7. (45)

C

  1. <
  2. =
  3. <
  4. <
  5. =

D

  1. (-5,-2,0,4,7)
  2. (-8,-4,-1,3,6)
  3. (-10,-5,0,5,10)
  4. (-15,-12,-3,2,8)
  5. (-9,-1,0,4,7)

E

  1. 12
  2. -10
  3. 5
  4. -7
  5. -20
  6. 7
  7. 7
  8. -6
  9. -18
  10. 0

F

  1. 7
  2. -7
  3. -10
  4. -7
  5. 20
  6. -28
  7. -5
  8. -5
  9. 30
  10. -15

G

  1. 24
  2. -15
  3. 14
  4. -48
  5. -36
  6. 50
  7. -36
  8. 32

H

  1. 4
  2. -7
  3. -6
  4. 8
  5. -9
  6. -9
  7. 10

I

  1. -4
  2. 2
  3. 12
  4. -18
  5. -8
  6. -1

J

  1. (-4^\circ C)
  2. (-30) metres
  3. 5th floor
  4. (-₹250)
  5. (7^\circ C)

K

  1. 1
  2. 13
  3. 14
  4. 7
  5. 19