CBSE Class 7 Mathematics Sample Paper Set 03

Mathematics
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Official CBSE Practice Papers for Class 7 Mathematics

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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.

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Model Practice Papers & Solutions for Class 7 Mathematics

Class 7 Mathematics CBSE Class 7 Mathematics Sample Paper Set 03 PDF Download Guide

Explore downloadable sample sets for Class 7 Mathematics. Utilizing the CBSE Class 7 Mathematics Sample Paper Set 03 allows learners to gauge exam readiness and master official CBSE assessment structures.

Why Practice Class 7 Mathematics Sample Papers?

  • Original Practice Material: Access unique questions for Mathematics designed to challenge your understanding.
  • Self-Assessment: Evaluate scores per set to pinpoint weak zones in Class 7 Mathematics.
  • Exam Completion Skills: Routine problem sets train you to manage test duration efficiently without stress.

Post-Practice Strategy for Class 7 Mathematics

  1. Self-Evaluation: Score your answers using official guidance to track your academic progress.
  2. Mistake Correction: Class 7 pupils must re-solve questions answered incorrectly to master the correct method.
  3. Continuous Practice: Take additional Mathematics sample modules online to maximize preparedness for CBSE evaluations.

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Yes, CBSE Class 7 Mathematics Sample Paper Set 03 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.

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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.

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