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Class 6 Mathematics Integers Worksheets

We have provided below free printable  Class 6 Mathematics Integers Worksheets  for Download in PDF. The worksheets have been designed based on the latest  NCERT Book for Class 6 Mathematics Integers . These  Worksheets for Grade 6 Mathematics Integers  cover all important topics which can come in your standard 6 tests and examinations.  Free printable worksheets for CBSE Class 6 Mathematics Integers , school and class assignments, and practice test papers have been designed by our highly experienced class 6 faculty. You can free download CBSE NCERT printable worksheets for Mathematics Integers Class 6 with solutions and answers. All worksheets and test sheets have been prepared by expert teachers as per the latest Syllabus in Mathematics Integers Class 6. Students can click on the links below and download all Pdf  worksheets for Mathematics Integers class 6  for free. All latest Kendriya Vidyalaya  Class 6 Mathematics Integers Worksheets  with Answers and test papers are given below.

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Grade 6 Integers Worksheets

Positive and negative whole numbers.

These grade 6 worksheets cover addition, subtraction, multiplication and division of integers .  Integers are whole numbers (no fractional or decimal part) and can be negative or positive.

Sample Grade 6 Integers Worksheet

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• CBSE Class 6 Maths

Integers Worksheet for Class 6 Mathematics/ CBSE Class 6 Maths

by Sanjusha · Published May 7, 2021 · Updated May 7, 2021

Integers Worksheet for Class 6 Mathematics is about the practice problems for Class 6 students. Here you can find out extra questions for practice from the chapter Integers.

Integers Worksheet for Class 6 Mathematics/ CBSE Class 6 Mathematics/ Integers Answer the following:

• a) Write 3 integers greater than -8. b) Write 3 integers less than -5
• a) Write all integers between -2 and 2 b) Write all integers between -4 and 0
• Find the additive inverse of a) -25 b) 46
• Find the sum of a) (-2) + (-8) b) (-8) + 4
• Subtract: a) (-9) – (-9) b) (-7) – 4
• Fill in the blank: a) (-6) + —- = 4 b) —- + (-5) = 0
• Use appropriate symbol < or > a) (-10) —- (-12) b) (-32) —- (-25)
• Sum of two numbers is 75. If one number is (-25), find the other number?
• Arrange the following numbers in ascending order: 5, -7, 9, -12, -23, 25
• Fill in the blank: a) The greatest negative integer is —————– b) ———- is an integer which is neither positive nor negative.
• a) -7, -6, -5 b) -6, -7, -8
• a) -1, 0, 1 b) -3, -2, -1
• a) 25 b) -46
• a) (-2) + (-8) = -10 b) (-8) + 4 = -4
• a) (-9) – (-9) = (-9) + 9 = 0 b) (-7) – 4 = (-7) + (-4) = -11
• a) (-6) + 10 = 4 b) 5 + (-5) = 0
• a) (-10) > (-12) b) (-32) < (-25)
• Sum of 2 numbers = 100 One number = -25 Other number = 100, because (-25) + 100 = 75
• -23, -12, -7, 5, 9, 25

Tags: CBSE Class 6 Maths Integers Class 6 Integers Worksheets Integers Integers Class 6 Important questions Integers Class 6 Maths Integers Extra questions for practice Integers Practice problems Integers Vacation worksheet for Class 6 Integers Worksheet for Class 6 Maths

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5 Responses

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Nice questions

nice questions for me because i am inn 6 class of basava international schol

it is vey useful and good questions are asked but it is very easy for students of class 6. it will be good if some questions are asked for the level of class 6.

good but can improve somehow

Good I’m appreciated 😊 it is helpful for me i have got 30/30 in math exam Thanks for this questions

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• Important Questions for CBSE Class 6 Maths Chapter 6 - Integers

CBSE Class 6 Maths Important Questions Chapter 6 - Integers - Free PDF Download

Important Questions for Class 6 Chapter 6 - Integers deals with the basic concepts of Integers and the questions given in the segment created by Vedantu will help students prepare for final exams. Students can practice these questions to score good marks. Chapter 6 of Class 6 Maths deals with the number system. Children will also learn addition, subtraction, multiplication and division of positive and negative integers. Students can refer to CBSE Solutions Important Questions for Class 6 Maths to get a hold of important questions that they can expect in exams. You can download the PDF version of important questions for Class 6 Maths Chapter 6 from Vedantu’s website anytime on any device and refer to them at your pace. You can also reach out to the teachers on the panel by enrolling with us.  You can also register Online for NCERT Class 6 Science tuition on Vedantu.com to score more marks in CBSE board examination .  

Download CBSE Class 6 Maths Important Questions 2023-24 PDF

Also, check CBSE Class 6 Maths Important Questions for other chapters:

Study Important Questions for Class 6 Maths Chapter 6 Integers

1 Mark Questions

1. Integers are denoted using the alphabet ___?

Ans: Integers are denoted using the alphabet Z.

2. $-9$__$5$. Fill in the blanks.

Ans: $-9<5$ 

3. Compare \[-\mathbf{815}\] and \[-\mathbf{814}\].

Ans: $-815<-814$

4. Say true or false. The absolute value of an integer is always greater than the integer.

Ans: True 

5. The predecessor of\[~\mathbf{219}\] is \[\mathbf{218}\]. Say true or false.

Ans: Predecessor of a number is the one that comes before the number.

\[\begin{align} & \text{Predecessor of a number} \\  & =\text{Number}1 \\  & =\left( -219 \right)1 \\  & =220. \\  \end{align}\]

Hence the statement is false.

6. ___ is called the Additive identity.

Ans: 0 is called the additive identity. This is because addition of zero to any number bears the same number.

7. \[-\mathbf{3}\] is the ___ of \[\mathbf{3}\].

Ans: $-3$ is the additive inverse of $3$. This is because on adding the numbers, we get zero, i.e., $\left( -3 \right)+3=0$.

8. \[\_\_\_\div \mathbf{483}=\mathbf{0}\]

9. \[-\mathbf{843}\div \_\_\_=\mathbf{1}\]

2 Marks Questions

1. Write opposite of each of the following:

(a) A decrease of 9

(b) Spending Rs.500

Ans: (a) An increase of $9$.

(b) Saving Rs.$500$.

2. Indicate using ‘$+$‘ or ‘$-$‘ sign

(a) 10km before sea level

(b) loss of Rs.900

Ans: (a) $-10$km

(b)$-$Rs.$900$

3. Write in ascending order: \[\mathbf{365}\], \[\mathbf{515}\], \[\mathbf{102}\], \[\mathbf{413}\], \[\mathbf{7}\].

Ans: $-515$, $-365$, $7$, $102$, $413$.

4. Write in descending order: \[\mathbf{21}\], \[\mathbf{501}\], \[\mathbf{2}\], \[\mathbf{16}\], \[\mathbf{81}\], \[\mathbf{363}\].

Ans: $21$, $-2$, $-16$, $-81$, $-363$, $-501$.

5. Find the value of the following:

(a)$-\left| -4 \right|$

(b)$\left| 7-4 \right|$

(c)$8-\left| 7 \right|$

Ans: (a)$-\left| -4 \right|=-4$

(b)$\left| 7-4 \right|=\left| 3 \right|=3$

(c)$8-\left| 7 \right|=8-7=1$

6. Add \[-\mathbf{82}\] and \[+\mathbf{45}\].

Ans: Adding $-82$ and $45$,

$\begin{align} & -82 \\  & +\underline{45} \\  & -37 \\  \end{align}$

Hence, the answer is $-37$.

7. Add \[-\mathbf{9568}\] and \[-\mathbf{695}\].

Ans: Adding $-9568$ and $-695$,

\[\begin{align} & -\text{ }9568 \\  & -\underline{\text{   }695} \\  & -10263 \\ \end{align}\]

Hence, the answer is $-10,263$.

8. Add 

(a) \[-\mathbf{19}+\mathbf{36}\]

(b) \[-\mathbf{49}+\mathbf{27}\]

Ans: (a) Adding $-19$ and $36$,

$\begin{align} & -19 \\  & +\underline{36} \\  & \text{  17} \\  \end{align}$

Hence, the answer is $17$.

(b) Adding $-49$ and $27$,

$\begin{align} & -49 \\ & +\underline{27} \\  & -22 \\  \end{align}$

Hence, the answer is $-22$.

9. \[\left( -14+6 \right)\] ___$\left( -38-\left( -9 \right) \right)$ . Use >, <, =

Ans: Solving both sides, we get

$\left( -14+6 \right)$__$\left( -38-\left( -9 \right) \right)$

$-8>-29$ 

3 Marks Questions

1. Mark the following on the number line:

(a) \[\mathbf{4}\]

(b) \[\mathbf{0}\]

(c) \[\mathbf{10}\] 

(d) \[\mathbf{6}\]

2. Write all integers between

(a) \[\mathbf{4}\] and \[\mathbf{4}\]

(b) \[\mathbf{8}\] and \[\mathbf{3}\]

Ans: (a) $-3$,$-2$, $-1$, $0$, $1$, $2$. $3$

(b) $-7$, $-6$, $-5$, $-4$

3. Subtract the following:

(a) \[-\mathbf{842}\] from \[\mathbf{0}\]

(b) \[-\mathbf{2959}\] from \[\mathbf{8158}\]

Ans: (a) Subtracting $-842$ from $0$,

$\begin{align} & 0-\left( -842 \right) \\  & =0+842 \\  & =842 \\  \end{align}$

Hence, the answer is $842$.

(b) Subtracting $-2959$ from $8158$,

$\begin{align} & 8158-\left( -2959 \right) \\  & =8158+2959 \\  & =11117 \\ \end{align}$

Hence, the answer is $11,117$.

4. The sum of two integers is – 38. If one of them is 240. Find the other.

Ans: We know that, $\text{addend+addend=sum}$

From given,

$\begin{align} & 240+X=-38 \\  & X=-38-240 \\  & X=-278 \\  \end{align}$

Hence, the other number is $-278$.

5. Find the product of \[\left( -27 \right)\times 18\times 30\].

Ans: The product of \[\left( -27 \right)\times 18\times 30\] is

\[\begin{align} & \left( -27 \right)\times 30\times 18 \\  & =-810\times 18 \\  & =-14580 \\  \end{align}\]

Hence, the answer is \[-14,580\].

6. Simplify: $\left( -37 \right)\times \left( -16 \right)+\left( -37 \right)\times \left( -14 \right)$.

Ans: $\left( -37 \right)\times \left( -16 \right)+\left( -37 \right)\times \left( -14 \right)$…(1)

We know that by distributive property,

$a\times b+a\times c=a\times \left( b+c \right)$

Hence, by (1),

$a=-37$, $b=-16$, $c=-14$

$\begin{align} & \left( -37 \right)\left[ \left( -16 \right)+\left( -14 \right) \right] \\  & =\left( -37 \right)\left[ -30 \right] \\  & =-1110 \\ \end{align}$

The answer after simplification is $-1110$.

7. Divide \[\left( +\mathbf{3251} \right)\] by \[\left( -\mathbf{27} \right)\].

Ans: We know that, 

$\frac{\left( +3251 \right)}{\left( -27 \right)}=-\left( \frac{3251}{27} \right)$

By long division, we get,

Hence, we get,

$\begin{align} & \text{Quotient=-120} \\  & \text{Remainder=11} \\  \end{align}$

4 Marks Questions

1. Using number line, write the following

(a) \[\mathbf{4}\] more than \[\mathbf{6}\]

(b) \[\mathbf{5}\] more than \[\mathbf{2}\]

(c) \[\mathbf{6}\] less than \[\mathbf{4}\]

(d) \[\mathbf{3}\] less than \[\mathbf{2}\]

Ans: (a) $4\text{ more than 6}=6+4=10$

(b) \[\text{5 more than -2}=5+\left( -2 \right)=5-2=3\]

(c) $6\text{ less than 4=4-6=-2}$

(d)$3\text{ less than }-2=\left( -2 \right)-3=-2-3=-5$

2. A bus travelled 30km to south, then 40km to north and from 30km to west. How for did the bus travel?

Distance travelled south = \[-30\]km

Distance travelled North = \[40\]km

Distance travelled West = $-30$km

Hence, Total distance travelled 

\[\begin{array}{*{35}{l}} =\left( -30 \right)+40+\left( 30 \right)  \\ \begin{align} & =60+40 \\  & =-20 \\  \end{align}  \\ \end{array}\]

Thus, the total distance travelled is $20$km towards the south.

5 Marks Questions

1. In a class test containing \[\mathbf{25}\] questions, \[\mathbf{4}\] marks are given for every correct answer and \[\left( \mathbf{2} \right)\] marks are given for every wrong answer. A student attempts all questions and \[\mathbf{20}\] of his answers are correct. What is the total score of a student?

Ans: Total questions in test \[=25\]

Marks are given for 1 correct answer \[=4\]

Marks are given for 1 incorrect answer \[=2\]

Marks given for 20 correct answers \[=20\times 4=80\]

Total incorrect answers \[=\left( 2520 \right)=5\]

Marks given for incorrect answers \[=5\times \left( 2 \right)=10\]

Total score in test 

\[\begin{align} & =80+\left( 10 \right) \\  & =70 \\  \end{align}\]

Hence, the total score in the test is $70$ marks.

CBSE Class 6 Maths Important Questions Chapter 6 - Free PDF Download

Let’s Revise

Integers is a set of all natural numbers, 0 and negatives of natural numbers are called integers, i.e., we can represent the integers on the number line. 

Integers range from { ………, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, …….. }

The absolute value of an integer is the numerical value of the integer in any case regardless of its sign.

Successors and predecessor of an integer: Let abe an integer, then: 

(a + 1) is called the successor of a.

(a - 1) is called the predecessor of a.

Properties of addition of integers:

(i) Closure property of addition: The total of two integers is always an integer.

(ii) Commutative law of addition: a + b = b + a

(iii) Associative law of addition: the sum remains the same even if the grouping of addends change.

Properties of subtraction of integers: 

(i) If two integers a and b are given then (a - b) is also an integer.

(ii) If a is considered an integer, then a - 0 = a.

(iii) if a, b, c are integers and a＞b, then (a - c)＞(b - c)

Properties of multiplication of integers:

(i) Closure property: The result of two integers is always an integer after multiplication.

(ii) Commutative law: a x b = b x a.

(iii) Associative law: a x (b x c) = (a x b) x c.

(iv) Distributive law: a x (b + c) = a x b + a x c.

Properties of division of integers:

(i) If two integers are a and b, then a ÷ b is not necessarily an integer.

(ii) If a ≠ 0, then a ÷ a = 1 

(iii) a ÷ 1 = a.

(iv) If a is a non-zero integer, then 0 ÷ a = 0, but  a ÷ 0 is not meaningful.

(v) (a ÷ b) ÷ c ≠ a ÷ (b ÷ c) unless c = 1.

Representation of Integers on Number line: To represent integers on a number line, draw a line and mark some points at equal distances on it. Mark a point as 0 on it. Points to the right of 0 are positive integers and are marked as +1, +2, +3, etc. or simply 1, 2, 3, etc. Points to the left of are negative integers and are marked as -1, -2, -3, etc. 

Ordering of Integers: On the number line, integers are grouped in such a way that when we move to the right the numbers increase and when we move to the left, the numbers decrease.

We add the corresponding positive integers and retain the negative sign with the sum when adding two negative integers, Ex: Find the sum of -3 and -3. 

-3 + (-3) = - (3+ 3) = -6.

To add a positive integer and a negative integer, we ignore the signs and subtract integers with smaller numerical value from the integer with a larger numerical value and take the sign of the larger one. 

Ex: (a) Consider -6 and + 4

As 6 -4 = 2, therefore -6 + (+4) = -2

(b) Consider + 5 and -2

5 + (-2) = 5 - 2 = 3

Two integers whose sum is 0 are called additive inverse of each other. 

In order to subtract an integer from a given integer, we add an additive opposite of the integer to the given integer.

Ex: (a) Subtract 3 from -4

The additive inverse of 3 is -3

So, -4, -3 = -4 + (-3) = (4 + 3) = -7

(b) -2 from -4

The additive inverse of -3 is 3

So, -4 - (-2) = -4 + 2 = -2

Addition/ Subtraction of Integers on Number line: Firstly draw the number line and represent the first number on it. Then to add/ subtract the second number in first, we move left/ right to the first number according to the second integer (either -ve or +ve)

Chapter 6 Integers for Class 6 teaches the concepts of Integers that you have learnt the basics of in your previous grade. The chapter Integers is the foundation of mathematics. Revising the chapter of Integers along with important questions will help you with other topics in mathematics. The important questions are prepared based on the topics that are discussed in this chapter. The reference notes for the chapter given above will benefit you in solving the Important Questions Of Chapter 6 of Maths for Class 6 Integers . The important questions of the chapter and the reference notes related to the chapter provided by Vedantu will not only help you to understand the concept better but also solve the questions successfully. If you still have any doubts then you can get answers to all your queries by reaching out to our experienced teachers. You can register on www.vedantu.com and master the topic. 

Why Should You Opt for Vedantu?

Vedantu is one of the foremost eLearning education forums of the country, where our team has worked very hard to create an awesome technology platform that enables learning in a very interactive and engaging manner. It is an online tutoring platform that connects teachers and students. Vedantu focuses on the quality of teachers because we believe a teacher can shape up the overall personality of a child. So our main priority is having good, qualified and experienced teachers on board. With the help of new technology, Vedantu has brought a revolution in all the traditional methods of teachings. Our experienced teachers have designed the courses with the latest technology called WAVE in which the teachers can teach while writing on the whiteboard. This will give a feeling of offline classes to the students. 

Students can avail abundant solutions and study materials affiliated to all the Boards of the country. These solutions for each subject, notes and study materials not only give you enough practice for the exams but also magnify your confidence and strengthen your conceptual understanding of the subject. You can also learn the shortcuts and tricks to solve the difficult questions from our master teachers. Our subject matter experts have done extensive research and have developed the NCERT Solution for all subjects. 

The solutions to the exercises in the course books are 100% verified and developed as per the latest edition CBSE textbooks. The online sessions are designed with in-class quizzes which enables master teachers to get real-time feedback on students' understanding. To prepare for advanced exams like IIT-JEE , KVPY and NEET examinations , you can count on Vedantu’s experienced teachers who are from some reputed institutions of the country. The USP of Vedantu is the live interactive sessions and innumerable students have been benefited from the courses that Vedantu provides. Take the right decision today to register with Vedantu and shape your career through us. 

Important Related Links for CBSE Class 6 Maths 

Vedantu's provision of important questions for CBSE Class 6 Maths Chapter 6 - "Integers" is a crucial aid for young learners. These questions are thoughtfully designed to help students navigate the world of integers with ease. They encourage critical thinking, problem-solving skills, and a deeper understanding of numerical concepts. Vedantu's commitment to quality education is evident, as these important questions empower students to excel in their mathematics studies. By practising these questions, students can build a robust foundation in integer mathematics, fostering confidence and competence in mathematical reasoning. These questions are a valuable resource for both exam preparation and lifelong mathematical learning.

FAQs on Important Questions for CBSE Class 6 Maths Chapter 6 - Integers

1. What are important questions for CBSE Class 6 Maths Chapter 6 - Integers?

Important questions are curated exercises that focus on key concepts and topics covered in the chapter. They are designed to help students prepare for exams and better understand the subject.

2. How can I access these important questions for Chapter 6 - Integers?

These questions are often available on educational websites like Vedantu, and you can access them for free. Look for a "Download" or "PDF" option to save them.

3. Are these important questions aligned with the CBSE syllabus?

Yes, important questions are typically aligned with the CBSE curriculum, ensuring that they cover relevant topics and concepts.

4. Why are these questions called "important"?

These questions are labelled as "important" because they focus on crucial concepts, which are likely to appear in exams. They help students prioritise their revision.

5. Can I solely rely on these important questions for exam preparation?

While important questions are helpful for revision, it's advisable to study the entire chapter thoroughly, understand the underlying concepts, and practise a variety of questions to perform well in exams.

6. Do these questions come with answers and explanations?

Depending on the source, these questions may or may not come with answers and explanations. It's essential to attempt the questions first and then refer to your textbook or teacher for explanations if needed.

7. Can I find these questions in a downloadable format?

Yes, many educational websites offer downloadable PDFs of important questions for various subjects and chapters. You may check Vedantu or other educational platforms for downloadable versions.

8. How can I best utilise these important questions for exam preparation?

Use these questions as part of your study plan. Attempt them regularly, time yourself, and simulate exam conditions to build confidence and improve your performance in the actual exams.

Chapter wise Important Questions for CBSE Class 6 Maths

Cbse study materials.

Arinjay Academy » Maths » Integers Worksheet for Class 6

• Integers Worksheet for Class 6

Integers Worksheet for Class 6 contains 16 MCQ questions. Answers to Integers Worksheet for Class 6 are available after clicking on the answer. Maths Worksheets for Class 6  help to check the concept you have learnt from detailed classroom sessions and application of your knowledge.

1. Which of the following numbers is an integer ? a) -16.6 b) -10.917 c) -12 d) -12.32

Answer: c) -12

Explanation An integer is a discrete /complete number or a number without any fraction . Integers can be negative or positive. So we can say that any number from 1,2,3,4…. Or from -1,-2,-3… all are integers. So, in the present case, the only discrete number or number without fraction is -12 Hence, the integer is -12

2. The absolute value of the integer -78 is ?

Answer: c) 78

Explanation

The absolute value of an integer is the numerical value of the integer, regardless of its sign. In present case, -78 is written as | -78 | is equal to 78 || sign is called the Mod sign. Mod is used to make the number positive, if the number is negative. The mod of positive number remains positive. Hence, the absolute value will be 78

3. The successor of given integer -538 is ? a) -537 b) -539 c) -536

Answer: a) -537

Explanation The successor of any number (including Integers ) will be the number which is 1 greater than the number, or comes after that number in number line So, we have to add 1 to the integer to find its successor. In present case, -538 + 1 = -537 So, the successor the given number is -537

4. The predecessor of given integer -63 ? a) -62 b) -64 c) -61

Answer: b) -64

Explanation The predecessor of any number (including integers) will be the number which is one lesser than the number, or comes before than that number in number line So, we have to subtract 1 from the given integer to find its predecessor. -63 – 1 = -64 So, the predecessor the integer is -64

5. Which one of the given integers, is greater than the other? -8 and 8 a) -8 b) 8

Answer: b) 8

Explanation We know that positive integers are always greater than negative integers, no matter how bigger, the negative digit is from the positive integers Amongst the two given integers, -8 is the negative integer, while 8 is the positive integer So, the greater integer is 8

6. Find the sum of given two integers: -2 and -5 a) -7 b) 7 c) -8 d) -6

Answer: a) -7

Explanation While adding two integers with the same sign, we add their values regardless of their signs, and give the sum, their common sign. In present case, First we add the values of the two integers, regardless of the negative sign: 2 + 5 = 7 Now we assign the common sign to the answer, In present case the common sign is – So, the sum of -2 and -5 is -7

7. Find the sum of 24 and -12? a) 14 b) 12 c) 15

Answer: b) 12

Explanation Where we have to add two integers with different signs ( one is positive and other is negative), we find their difference, regardless of their signs, and give the sign of the integer with the greater value to such difference. In present case, First we find the difference to the given integers i.e, 24 – 12 = 12 Now, we would assign the sign of the greater integer to the result. In this case, 24 > 12 and the sign of 24 is ( + ) Hence, the sum of 24 and -12 is +12 or 12

8. Which of the following numbers would make the equation complete. 11 + -4 ___ 17 + -4 a) > b) <

Answer: b) <

Explanation If a < b Then, (a + c) < (b + c) where, c is any integer. In present case, a = 11 b = 17 c = -4 Here, 11 < 17 So, 11 + -4 < 17 + -4 So, the correct answer is < Alternative Method: L.H.S: 11 + ( -4 ) = 11 – 4 = 7 R.H.S: 17 + ( -4 ) = 17 – 4 = 13 So, 7 < 13 Hence, 11 + -4 < 17 + -4

9. Subtract: 18 – 8 a) 15 b) 10 c) 17

Answer: b) 10

Explanation In order to subtract a smaller integer from a larger integer, where both the integers are positive, we subtract the smaller integer from the higher integer, and give the positive sign to the difference. So, first we subtract the smaller integer from the higher integer. 18 – 8 = 10 Now, we assign positive sign to the result i.e, +10 or 10 Hence, 18 – 8 = 10

10. Subtract: ( 10 ) – ( -18 ) a) -28 b) 28 c) -8 d) 8

Answer: b) 28

Explanation When we subtract a negative integer from a positive integer then, we add the two numbers. Since, 10 is positive and 18 is negative We simply add the two Integers, ignoring their signs: = 18 + 10 = 28 or +28 Hence, ( 10 ) – ( -18 ) = +28 or 28

11. Subtract: ( – 15 ) – ( 13 ) a) -28 b) 28 c) 2 d) -2

Answer: a) -28

Explanation When we subtract a positive integer from a negative integer, we add the two numbers and and give the negative sign to it. Since, – 15 is negative and 13 is positive We simply add the two Integers, ignoring their signs: = 15 + 13 = 28 and assign negative sign to the result i.e, -28 Hence, ( -15 ) – ( 13 ) = -28

12. Multiply ( 2 ) x ( 3 ) x ( 5 ) x ( 6 ) a) 160 b) 90 c) 180 d) 200

Answer: c) 180

Explanation If we multiply more than two positive integers, with each other simultaneously, the result is always a positive integer. Since, 2 , 3 , 5 and 6 are positive integers. We simply multiply the integers: 2 x 3 x 5 x 6 = 180 and add a positive sign to the result + 180 Hence, 2 x 3 x 5 x 6 = + 180

13. Multiply ( 4 ) by ( -7 ). a) -24 b) 28 c) -32 d) -28

Answer: d) -28

Explanation Multiplication of one positive and one negative integer will always results in negative integer. In order to multiply a positive integer and a negative integer, we simply multiply the two numbers, and add a negative sign to it. Since, 4 is positive and -7 is negative. We simply multiply the two integers, ignoring their signs: 4 x 7 = 28 and add a negative sign to the result – 28 Hence, 4 x -7 = -28

14. Which of the following numbers would make the equation complete: -15 x __ = -15 a) -15 b) 15 c) 1 d) 0

Answer: c) 1

Explanation Multiplicative identity of an integer is ‘1’. When we multiply any positive or negative integer by 1 the answer will be the same the integer only. In generalise form, for any integer ‘a’ a x 1 = 1 x a = a In the given equation, we have : -15 x __ = -15 On comparing, generalised form and given equation we get: a = -15 Using the equation, a x 1 = 1 x a = a Hence, -15 x 1 = -15 So, the answer is 1

15. Divide ( -35 ) by ( -7 ) a) 5 b) -5 c) -7 d) 7

Answer: a) 5

Explanation Division of two negative integers is always a positive integer. In order to divide two negative integers we simply divide the two numbers, and add a positive sign to it. Since, both -35 and -7 are negative. We simply divide the two integers, ignoring their signs: 35 ÷ 7 = 5 Add the positive sign to result i.e, + 5 Hence, ( -35 ) ÷ ( -7 ) = + 5 or 5

16. Divide ( 25 ) by ( -5 ) a) 5 b) -5 c) 4 d) -4

Answer: b) -5

Explanation Division of unlike (positive and negative) integer is always a negative integer. In order to divide a positive integer by a negative integer or negative integer by a positive integer we always get a negative integer. Since, ( 25 ) is positive and -5 is negative. We simply divide the two integers, ignoring their signs: ( 25 ) ÷ 5 = 5 Add the negative sign to result i.e, – 5 Hence, ( 25 ) ÷ ( -5 ) = ( -5 )

Maths Worksheets for Class 6

• Area and Perimeter Worksheets Grade 6
• Factors and Multiples Class 6 Worksheets
• Fractions Class 6 Worksheet
• Ratio and Proportion Class 6 Worksheet
• Whole numbers Class 6 Worksheet
• Decimals Class 6 Worksheet
• Triangles Worksheet for Class 6
• 3D Shapes Faces Edges Vertices Worksheets
• Linear Equations Worksheet for Class 6
• Algebraic Expressions for Class 6 Worksheets
• Basic Geometrical Ideas

NCERT Solutions for Class 6

Cbse notes for class 6, worksheets for class 6, 2 thoughts on “integers worksheet for class 6”.

This site is full of brilliant sums and I found it EXCELLENT.

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Unit 4: Integers

Integers on the number line.

• Intro to negative numbers (Opens a modal)
• Number opposites (Opens a modal)
• Negative symbol as opposite (Opens a modal)
• Number opposites Get 5 of 7 questions to level up!
• Negative numbers on the number line Get 5 of 7 questions to level up!

Ordering of integers

• Ordering negative numbers (Opens a modal)
• Negative numbers, variables, number line (Opens a modal)
• Ordering small negative numbers Get 5 of 7 questions to level up!
• Ordering rational numbers Get 3 of 4 questions to level up!
• Compare rational numbers using a number line Get 3 of 4 questions to level up!

Adding and subtracting integers

• Adding & subtracting negative numbers (Opens a modal)
• Subtracting a negative = adding a positive (Opens a modal)
• Adding numbers with different signs (Opens a modal)
• Adding negative numbers Get 5 of 7 questions to level up!
• Subtracting negative numbers Get 5 of 7 questions to level up!
• Adding & subtracting negative numbers Get 5 of 7 questions to level up!

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