Curriculum & Exam Preparation Note: Regular practice of NCERT textbook exercises and chapter-end questions establishes strong conceptual clarity for primary and secondary examinations.
NCERT Exemplar Class 6 Maths Chapter 1: Number System. NCERT Exemplar Solutions for Class 6 Maths Chapter 1 Number System prepare students for their Class 6 exams thoroughly.
Maths problems and solutions for the Class 6 pdf are provided here which are similar to the questions being asked in the previous year's board.
NCERT Exemplar Class 6 Maths Chapter 1: Number System
Class 6: Maths Chapter 1 solutions. Complete Class 6 Maths Chapter 1 Notes.
Main Concepts and Results
(i) Knowing our Numbers
- Large numbers upto one crore
- Reading and writing of large numbers
- Comparing large numbers
- Indian System of Numeration
- International System of Numeration
- Use of large numbers
- Estimation of numbers
- Use of brackets
- Roman numerals
(ii) Whole Numbers
- Natural numbers
- Predecessor and successor of a natural number
- Whole numbers: The natural numbers along with zero form the collection of whole numbers.
- Representation of whole numbers on the number line
- Addition and subtraction of whole numbers on the number line
- Properties of whole numbers :
- Closure property-
Commutativity of addition and multiplication
Associativity of addition multiplication
Distributivity of muliplication over addition
Identities for addition and multiplication - Division of a whole number by zero is not defined
- Patterns in whole numbers
(iii) Playing with Numbers
- Factors and multiples
- Number of factors of a given number is finite
- Number of multiples of a given number is infinite
- Perfect number: A number for which sum of all its factors is equal to twice the number.
- Prime and composite numbers
- Tests for divisiblity of numbers by 2, 3, 4, 5, 6, 8, 9 and 11
- Common factors and common multiples
- Coprime numbers
- More divisibility rules :
-Product of two consecutive whole numbers is divisible by 2
-If a number is divisible by another number, then it is divisible by each of the factors of that number.
-If a number is divisible by two coprime numbers, then it is divisibile by their product also.
-If two given numbers are divisible by a number, then their sum is also divisible by that number.
-If two given numbers are divisible by a number, then their difference is also divisible by that number. - Prime factorisation of a number:
- Highest Common Factor (HCF) of two or more numbers
- Least Common Multiple (LCM) of two or more numbers
- Use of HCF and LCM in problems of day to day life.
Solved Examples
Multiple Choice Questions
True False Type Questions
Fill in the Blanks Type Questions
Other Important Type Questions
Answers
