Integers Class 6 Worksheet

Integers Class 6 Worksheet

The Subject matter experts at Infinity Learn (IL) have prepared Integers class 6 worksheet with answers. These Integers Class 6 Maths worksheet Questions in the Worksheets have been carefully selected to cover important numerical concepts in Class 6 Maths, with step-by-step solutions provided for each question.

Students can download these Worksheets for CBSE Class 6 Maths Chapter Integers and begin solving the questions while referencing the provided solutions. It’s highly recommended that you first review the theory of the chapter and solve the questions in your textbook before attempting the Infinity Learn Integers questions with solutions. Additionally, students can refer to the Maths Formula section for further understanding.

Integers Class 6 Worksheet 1

What are the predecessor and successor of -20?

1. Predecessor: -21, Successor: -19
2. Predecessor: -19, Successor: -21
3. Predecessor: -22, Successor: -18
4. Predecessor: -18, Successor: -22

Evaluate: (-15) – (-8) + 6

1. -1
2. 13
3. -19
4. 17

Find the product of -7 and the difference between 10 and -3.

1. -63
2. 63
3. -91
4. 91

Simplify: 20 – [4 – (8 – 2) + (-5)]

1. 27
2. -27
3. 15
4. -15

If ∆ represents the operation: a ∆ b = a – b + 3, what is the result of 5 ∆ (-2)?

1. 4
2. 10
3. -10
4. -4

The sum of two integers is 11. If one integer is 3, what is the other integer?

1. 8
2. -8
3. 14
4. -14

In a series of transactions, Sarah earned ₹50, lost ₹30, earned ₹25, and lost ₹40. What is her net gain or loss?

1. ₹5 gain
2. ₹5 loss
3. ₹15 gain
4. ₹15 loss

What is the cube of the negative integer -4?

1. -64
2. 64
3. -16
4. 16

Arrange the following integers in descending order: -3, 7, -1, 10, -5, 0

1. 10, 7, 0, -1, -3, -5
2. 10, 7, -1, 0, -3, -5
3. 10, 7, -1, -3, 0, -5
4. 10, 7, -1, -3, -5, 0

If the sum of two consecutive even integers is 26, what are the integers?

1. 10, 12
2. 12, 14
3. 14, 16
4. 16, 18

What are the predecessor and successor of -25?

1. Predecessor: -24, Successor: -26
2. Predecessor: -26, Successor: -24
3. Predecessor: -24, Successor: -25
4. Predecessor: -25, Successor: -24

Evaluate: (-12) – (-5) + 8

1. 5
2. 1
3. -1
4. -5

Find the product of -9 and the difference between 20 and -7.

1. -207
2. 207
3. -189
4. 189

Simplify: 30 – [5 – (9 – 3) + (-8)]

1. 44
2. -44
3. 36
4. -36

If ∆ represents the operation: a ∆ b = a – b + 4, what is the result of 8 ∆ (-3)?

1. 13
2. 15
3. -15
4. -13

The sum of two integers is -9. If one integer is -2, what is the other integer?

1. -7
2. 7
3. -11
4. 11

In a series of transactions, John earned ₹60, lost ₹45, earned ₹20, and lost ₹35. What is his net gain or loss?

1. ₹5 gain
2. ₹5 loss
3. ₹15 gain
4. ₹15 loss

What is the cube of the negative integer -6?

1. -216
2. 216
3. -36
4. 36

Arrange the following integers in descending order: 5, -9, 3, -12, 0, -7

1. 5, 3, 0, -7, -9, -12
2. 5, 3, -7, -9, 0, -12
3. 5, -7, 3, 0, -9, -12
4. 5, -7, 3, -9, 0, -12

If the sum of two consecutive odd integers is -16, what are the integers?

1. -9, -7
2. -7, -9
3. -15, -17
4. -17, -19

What are the predecessor and successor of -18?

1. Predecessor: -19, Successor: -17
2. Predecessor: -17, Successor: -19
3. Predecessor: -18, Successor: -19
4. Predecessor: -19, Successor: -18

Evaluate: (-21) – (-10) + 7

1. -4
2. 4
3. -17
4. 17

Find the product of -8 and the difference between 25 and -9.

1. -272
2. 272
3. -216
4. 216

Simplify: 35 – [6 – (10 – 4) + (-9)]

1. 44
2. -44
3. 36
4. -36

If ∆ represents the operation: a ∆ b = a – b + 5, what is the result of 7 ∆ (-3)?

1. 16
2. 13
3. -13
4. -16

The sum of two integers is -15. If one integer is -4, what is the other integer?

1. -11
2. 11
3. -19
4. 19

In a series of transactions, Emma earned ₹80, lost ₹60, earned ₹40, and lost ₹30. What is her net gain or loss?

1. ₹30 gain
2. ₹10 gain
3. ₹10 loss
4. ₹30 loss

What is the cube of the negative integer -7?

1. -343
2. 343
3. -49
4. 49

Arrange the following integers in descending order: -2, 8, -4, 15, -6, 1

1. 15, 8, 1, -2, -4, -6
2. 15, 8, -2, 1, -4, -6
3. 15, 8, 1, -4, -2, -6
4. 15, 8, 1, -2, -6, -4

If the sum of two consecutive even integers is 30, what are the integers?

1. 14, 16
2. 16, 18
3. 12, 14
4. 10, 12

Answers:

1. a
2. a
3. c
4. a
5. b
6. a
7. b
8. a
9. a
10. b
11. a
12. b
13. c
14. a
15. d
16. a
17. b
18. a
19. a
20. a
21. a
22. d
23. a
24. a
25. a
26. a
27. d
28. a
29. a

NCERT Solution for Class 6 Maths

• Chapter 1 Knowing Our Numbers
• Chapter 2 Whole Numbers
• Chapter 3 Playing With Numbers
• Chapter 4 Basic Geometrical Ideas
• Chapter 5 Understanding Elementary Shapes
• Chapter 6 Integers
• Chapter 7 Fractions
• Chapter 8 Decimals
• Chapter 9 Data Handling
• Chapter 10 Mensuration
• Chapter 11 Algebra
• Chapter 12 Ratio and Proportion
• Chapter 13 Symmetry
• Chapter 14 Practical Geometry

Integers Class 6 Worksheet 2

Q1. In a shopping spree, Maria spent ₹120 on clothes, earned ₹80 in cashback, spent ₹50 on accessories, and earned ₹30 in rewards points. Calculate her net expenditure or gain.

• ₹20 gain
• ₹20 loss
• ₹180 gain
• ₹180 loss

Ans. The correct answer is b

Here, we shall show the negative sign for expenditure and the positive sign for earnings. So, Maria’s net expenditure/gain = -120 + 80 – 50 + 30

= -40 – 20

= -₹20, indicating a loss of ₹20.

Q2. In a stock market trading session, Alex gained ₹200 in the morning, lost ₹100 in the afternoon, gained ₹150 in the evening, and lost ₹80 just before closing. Determine his net gain or loss.

• ₹270 gain
• ₹30 gain
• ₹30 loss
• ₹270 loss

Ans. The correct answer is a

Considering gains as positive and losses as negative, Alex’s net gain/loss = 200 – 100 + 150 – 80

= 200 + 150 – 100 – 80

= ₹270 gain.

Q3. During a sale, Jack bought a laptop for ₹900, sold it later for ₹1100, then bought a tablet for ₹500 and sold it for ₹400. Find his net profit or loss.

• ₹100 profit
• ₹100 loss
• ₹200 profit
• ₹200 loss

Ans. The correct answer is a

Taking profit as positive and loss as negative, Jack’s net profit/loss = 1100 – 900 – 500 + 400

= 1100 + 400 – 900 – 500

= ₹100 profit.

Q4. In a week, Sam worked overtime on Monday and earned ₹50, took a day off on Tuesday, earned ₹70 on Wednesday, spent ₹30 on Thursday, and earned ₹100 on Friday. Calculate his net earnings or expenditure.

• ₹190 earnings
• ₹50 earnings
• ₹190 expenditure
• ₹50 expenditure

Ans. The correct answer is a

Considering earnings as positive and expenditure as negative, Sam’s net earnings/expenditure = 50 + 70 – 30 + 100

= ₹190 earnings.

Q5. Lisa invested ₹500 in stocks, gained ₹300, reinvested the total amount, and then lost ₹200. Determine her net gain or loss.

• ₹100 gain
• ₹100 loss
• ₹300 gain
• ₹300 loss

Ans. The correct answer is a

Considering gains as positive and losses as negative, Lisa’s net gain/loss = 300 – 200

= ₹100 gain.

Q6. During a weekend getaway, Sarah spent ₹150 on accommodation, saved ₹50 on a discounted activity, spent an additional ₹80 on dining, and received a ₹30 refund for a cancelled excursion. Calculate her net expenditure or gain.

• ₹200 loss
• ₹200 gain
• ₹100 loss
• ₹100 gain

Ans. The correct answer is c

Considering expenditures as negative and savings/refunds as positive, Sarah’s net expenditure/gain = -150 + 50 – 80 + 30

= -150 – 80 + 50 + 30

= ₹100 loss.

Q7. In a month, Michael earned ₹2000 from his job, spent ₹1200 on rent, earned an additional ₹500 from freelancing, and paid ₹300 for utilities. Determine his net earnings or expenditures.

• ₹1000 earnings
• ₹1000 expenditure
• ₹700 earnings
• ₹700 expenditure

Ans. The correct answer is a

Considering earnings as positive and expenditures as negative, Michael’s net earnings/expenditure = 2000 + 500 – 1200 – 300

= ₹1000 earnings.

Q8. During a vacation, David exchanged ₹300 into euros, spent €200, then exchanged the remaining euros back into dollars, receiving ₹150. Determine his net gain or loss due to currency exchange.

• ₹50 loss
• ₹50 gain
• ₹100 loss
• ₹100 gain

Ans. The correct answer is b

Considering euros received as positive and dollars spent as negative, David’s net gain/loss = 150 – 300

= ₹50 gain.

Q9. Over a weekend, Emily received ₹80 in birthday gifts, spent ₹40 on a dinner outing, found ₹20 on the street, and spent an additional ₹30 on groceries. Calculate her net gain or loss.

• ₹10 gain
• ₹10 loss
• ₹30 gain
• ₹30 loss

Ans. The correct answer is a

Considering gains as positive and expenditures as negative, Emily’s net gain/loss = 80 + 20 – 40 – 30

= ₹10 gain.

Q10. In a fundraising event, Mark collected ₹500 in donations, spent ₹200 on organising expenses, received a grant of ₹300, and incurred additional expenses of ₹150. Determine his net gain or loss from the event.

• ₹450 gain
• ₹450 loss
• ₹250 gain
• ₹250 loss

Ans. The correct answer is c

Considering donations and grants as positive and expenses as negative, Mark’s net gain/loss = 500 + 300 – 200 – 150

= ₹250 gain.

Why Choose Infinity Learn Integers Worksheet Class 6

Choosing Infinity Learn integers worksheet for Class 6 can be beneficial for several reasons:

• Customized Learning: Infinity Learn’s worksheets are designed to cater to the individual learning pace and style of each student, ensuring a personalized learning experience.
• Comprehensive Coverage: The worksheets cover all the important topics related to integers in Class 6, ensuring a thorough understanding of the subject.
• Practice and Revision: With a variety of questions ranging from basic to advanced levels, these worksheets provide ample practice and help in revising the concepts effectively.
• Expertly Designed: The worksheets are created by experienced educators who understand the curriculum and the common challenges faced by students, ensuring that the worksheets are both effective and engaging.
• Instant Feedback: Infinity Learn’s platform often provides instant feedback on the answers, helping students identify their mistakes and learn from them immediately.
• Preparation for Higher Classes: A strong foundation in integers is crucial for mathematics in higher classes. These worksheets help in building that foundation.
• Interactive Learning: Infinity Learn often incorporates interactive elements in their worksheets, making learning more engaging and fun for students.
• Accessibility: Being available online, these worksheets can be accessed anytime and from anywhere, making it convenient for students to practice.

FAQs on Integers Class 6 Worksheet

What topics are covered in the Integers Class 6 Worksheet?

The Integers Class 6 Worksheet covers various topics related to integers, including addition, subtraction, multiplication, division, absolute value, ordering integers, and solving word problems involving integers.

How can students access the solutions for the Integers Class 6 Worksheet?

Students can access the solutions for the Integers Class 6 Worksheet by referring to the step-by-step solutions provided along with the worksheet. These solutions are designed to help students understand the concepts and methods used to solve each problem.

Are there additional resources available to supplement the learning of Integers for Class 6 students?

Yes, there are additional resources available to supplement the learning of Integers for Class 6 students. They can access Class 6 notes, review the theory of the chapter, solve problems in their textbook, refer to the Maths Formula section, and even take online tests to assess their understanding of integers

What do we learn from chapter integers?

In the chapter on integers, we learn about the set of whole numbers that include positive numbers, negative numbers, and zero. The chapter covers the basic concepts of integers, their representation on the number line, and the properties of addition, subtraction, multiplication, and division of integers. We also learn about the rules for adding, subtracting, multiplying, and dividing integers, along with the concepts of absolute value and opposite integers.

How many types of integers are there?

There are three types of integers: Positive Integers: These are the integers greater than zero (e.g., 1, 2, 3, ...). Negative Integers: These are the integers less than zero (e.g., -1, -2, -3, ...). Zero: Zero is neither positive nor negative and is considered a neutral integer.