CBSE Class 7 Mathematics Sample Paper Set 3

Read and download the CBSE Class 7 Mathematics Sample Paper Set 3, designed by expert teachers according to the latest 2025-26 curriculum and examination pattern issued by CBSE, NCERT, and KVS. These Class 7 Mathematics sample papers include detailed step-by-step solutions, helping students to practice and evaluate their performance against the most recent marking schemes.

Solved Sample Paper for Class 7 Mathematics PDF

Our Class 7 Mathematics model papers are important for understanding the weightage of different chapters and the difficulty level of expected questions. By solving these guess papers Class 7 students can identify weak areas and improve time management. We also suggest referring to our Class 7 Mathematics Question Papers of previous years to further strengthen your exam preparation.

Class 7 Mathematics Sample Paper with Solutions

CBSE Class 7 Mathematics Sample Paper Set 3. Revision worksheets, Sample papers, Question banks and easy to learn study notes for all classes and subjects based on CBSE and NCERT guidelines. Students and parents can download free a collection of all study material issued by various best schools in India. The study material has been carefully compiled by the best teachers in India. The students should practice the questions database to get better marks in examination. Please refer to other links for free download of high quality study material. Based on CBSE and NCERT guidelines. Based on the same pattern as released by CBSE every year. Study material for final/ term/ SA1/ SA2 Examinations conducted by various schools affiliated to Central Board of Secondary Education (CBSE) in India and abroad. CBSE Study material has been compiled to help students preparation which will helps the students to concentrate more in areas which carry more marks.

Operations on Integers

When two positive integers are added, we get a positive integer; 9 + 2 = 11.

When two negative integers are added, we get a negative integer; -2 + (-3) = -5.

When a positive and a negative integer are added, the sing of the sum is always the sing of the bigger number of the two, without

considering their sign 55 + -25 = 30 and -55 + 25 = -30.

The additive inverse of any integer a is -a , and the additive inverse of (-a ) is a . Integer (-12) = Additive Inverse (12).

Subtraction is the opposite of addition and therefore, we add the additive inverse of the integer that is being subtracted, to the other

integer.Hence, 23 - 43 =23 + Additive Inverse of 43 + 23 + (-43) = -20.

The product of a positive and a negative integer is a negative integer.

If the number of negative integers in a product is even, then the product is a positive integer, and if the number of negative integers in a

product is odd, then the product is a negative integer.

Division is the inverse operation of multiplication.

The division of a negative integer by a positive integer results in a negative integer.

The division of a positive integer by a negative integer results in a negative integer.

The division of a negative integer by a negative integer results in a positive integer.

For any integer p, p multiplied with zero is equal to zero multiplied with p, which is equal to zero. 

For any integer p, p divided by zero is not defined, and zero divided by p is equal to zero, where p is not equal to zero 

Properties of Integers
 
Integers are closed under addition and subtraction. That is, a + b and a - b are again integers, where a and b are any integers. 
Addition is commutative for integers, i.e., a + b = b + a, for all integers a and b . 
Addition is associative for integers, i.e., (a + b) + c = a + (b + c), for all integers a, b and c. 
Integer 0 is the identity under addition. That is, a + 0 = 0 + a = a, for every integer a . 
Integers are closed under multiplication. That is, a × b is an integer, for any two integers a and b . 
Multiplication is commutative for integers. That is, a × b = b × a for any integers a and b .
The integer 1 is the identity under multiplication, i.e., 1 × a = a × 1 = a, for any integer a . 
Multiplication is associative for inters, i.e.,(a × b) × c = a × (b × c), for any three integers a, b and c. 
Distributive property of multiplication over addition: For any integers a, b, c we have a × (b + c) = a × b + a × c. 
Distributive property of multiplication integers a, b, c we have a × (b - c) = a × b -a × c.
 
Fractions and Decimals
 
Multiplication and Division on Fraction 
 
Divisions of Fractions
To obtain the reciprocal of a fraction, interchange the numerator with denominator. 
To divide a whole number by a fraction, take the reciprocal of the fraction and then multiply it with the whole number. 
To divide a fraction by a whole number, multiply the fraction with the reciprocal of the whole number. 
To divide a fraction by a fraction, multiply the first fraction with the reciprocal of the second fraction. 
 
Multiplicaton and Division on Decimals 
 
Multiplication of Decimals 
To multiply a whole number by a decimal number, follow these steps: 
Ignore the decimal and multiply the two numbers. 
Count the number of digits to the right of decimal point in the original decimal number. 
Insert the decimal, from right to left, in the answer by the same count. 
To multiply a decimal number by a decimal number, follow these steps: 
Ignore the decimals and multiply the two numbers. 
Count the number of digits to the right of decimal point in both the decimal numbers. 
Add up the number of digits counted and insert the decimal, from right to left, in the answer by the same count.

 

Please refer to attached file for CBSE Class 7 Mathematics Sample Paper Set 3.

How to download CBSE Class 7 Mathematics Sample Paper Set 3 in PDF?

Students can easily download the CBSE Class 7 Mathematics Sample Paper Set 3 from our website to prepare for their upcoming examinations. To score high marks, it is important for Class 7 students to understand the exaact pattern as per which teachers design the question papers. We strongly suggest that you practice these latest sample papers for Mathematics and solve different types of questions that are expected to come this year. You can downloadin PDF format so that you can practice offline. We also recommend that Class 7 students solve these papers actual exam conditions at home.

Why should you solve CBSE Class 7 Mathematics Sample Paper Set 3?

Practicing these model papers has several benefits for Class 7 students:

  • New Question Bank: This set has fresh questions for Mathematics which are different from previous years.
  • Exam Pattern Knowledge: Solving more sets will help you to understand the weightage of each chapter in Class 7 and also the type of questions asked.
  • Identify Weak Areas: Comparing your score in each set to find out topics in Class 7 Mathematics for which you need hard work.
  • Speed and Accuracy: Attempting MCQ questions and long-form problems for Class 7 Mathematics makes you faster and better and you will be able to finish your exam on time.

What should you do after solving CBSE Class 7 Mathematics Sample Paper Set 3?

  1. Check Your Work: Match your answers with the solutions given by our teachers in the Mathematics Sample Paper PDF.
  2. Learn from Mistakes: Class 7 students should focus on the questions which you solved incorrectly and understand the error.
  3. Revision: If you find a question difficult you shoul refer to NCERT book for Class 7 Mathematics to understand concepts and then try the question again.
  4. Continuous Practice: Solve multiple sets of Mathematics sample papers from studiestoday.com to build confidence before the CBSE exams.
Where can I download the PDF for CBSE Class 7 Mathematics Sample Paper Set 3?

You can download the complete PDF for CBSE Class 7 Mathematics Sample Paper Set 3 for free from StudiesToday.com. Our resources for Class 7 Mathematics are updated for the latest academic session and follow the official exam pattern.

Are solutions provided for CBSE Class 7 Mathematics Sample Paper Set 3?

Yes, CBSE Class 7 Mathematics Sample Paper Set 3 comes with detailed, teacher-verified solutions. We have provided step-by-step answers for Mathematics to help students of Class 7 understand correct methodology and marking scheme.

How can practicing CBSE Class 7 Mathematics Sample Paper Set 3 help in exam preparation?

Practicing this Mathematics paper helps in time management and identifying important topics. For Class 7, solving mock papers is the best way to gain confidence and reduce exam-day anxiety.

Is the CBSE Class 7 Mathematics Sample Paper Set 3 accessible on mobile and tablets?

Yes, all our study materials for Class 7 Mathematics are provided in a mobile-friendly PDF format. You can easily download CBSE Class 7 Mathematics Sample Paper Set 3 on your mobile device.