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Methodical recommendation:

Theory

Number Name Description
Number 1. Name Common Factor Description Learn about common factors with few examples.
Number 2. Name Common Multiple Description Learn common multiple with few examples.
Number 3. Name Prime factorisation Description Learn to find the prime factor of a composite number.
Number 4. Name Highest common factor Description Understand the highest common factor with an example.
Number 5. Name Lowest common Multiple Description Begin to understand the least common multiple with a few examples.
Number 6. Name Application problems based on LCM and HCF Description In this session, learn to do real life problems based on HCF and LCM.
Number 7. Name Relationship between the numbers and their HCF and LCM Description In this session, learn about the relationship between HCF and LCM of two numbers.

Textbook Questions

Number Name Type Difficulty Marks Description
Number 1. Name Multiple choice questions I Type Other Difficulty easy Marks 3 m. Description Select the suitable choice for the given questions.
Number 2. Name Multiple choice questions II Type Other Difficulty easy Marks 2 m. Description Select the suitable choice for the given questions.
Number 3. Name Fill in the blanks I Type Other Difficulty easy Marks 4 m. Description Apply the concept of prime factorisation and LCM and HCF.
Number 4. Name Fill in the blanks II Type Other Difficulty easy Marks 3 m. Description Apply the concept of prime factorisation and LCM and HCF.
Number 5. Name Say true or false I Type Other Difficulty easy Marks 3 m. Description Check whether the given statements are correct or not.
Number 6. Name Say true or false II Type Other Difficulty easy Marks 3 m. Description Check whether the given statements are correct or not.
Number 7. Name Two mark example problems I Type Other Difficulty easy Marks 4 m. Description Practice the problem to find LCM and HCF of the numbers.
Number 8. Name Two mark example problems II Type Other Difficulty easy Marks 4 m. Description Apply the concept of relationship between LCM and HCF of two numbers.
Number 9. Name Two mark exercise problems I Type Other Difficulty medium Marks 6 m. Description Try to answer the given questions.
Number 10. Name Two mark exercise problems II Type Other Difficulty medium Marks 6 m. Description Try to answer the given questions.
Number 11. Name Two mark exercise problems III Type Other Difficulty medium Marks 6 m. Description Try to find the LCM of the given questions.
Number 12. Name Two mark exercise problems IV Type Other Difficulty medium Marks 6 m. Description Try to find the LCM of the given questions.
Number 13. Name Three mark example problems I Type Other Difficulty medium Marks 6 m. Description Check your understanding skills in the concept of LCM and HCF.
Number 14. Name Three mark example problems II Type Other Difficulty medium Marks 6 m. Description Practice the problem to find the solution using division method.
Number 15. Name Three mark example problems III Type Other Difficulty medium Marks 3 m. Description Apply the concept of LCM and find the required.
Number 16. Name Three mark exercise problems I Type Other Difficulty medium Marks 6 m. Description Practice the problem to find the prime factorisation of the given numbers.
Number 17. Name Three mark exercise problems II Type Other Difficulty hard Marks 6 m. Description Apply the concept of LCM and HCF of the numbers.
Number 18. Name Three mark exercise problems III Type Other Difficulty hard Marks 6 m. Description Try to answer the given questions.
Number 19. Name Three mark exercise problems IV Type Other Difficulty hard Marks 6 m. Description Check your understanding skills in the concept of LCM and HCF.
Number 20. Name Three mark exercise problems V Type Other Difficulty hard Marks 6 m. Description Try to answer the given questions.
Number 21. Name Three mark exercise problems VI Type Other Difficulty hard Marks 3 m. Description Apply the concept of LCM and HCF and find the required.

Practice Questions

Number Name Type Difficulty Marks Description
Number 1. Name Find the common factor Type Other Difficulty easy Marks 2 m. Description Work on the problem to find the common factors of given numbers.
Number 2. Name Evaluate the highest common factor by prime factor method Type Other Difficulty easy Marks 2 m. Description Practice problem to find the highest common factor of two numbers.
Number 3. Name Find the prime factors Type Other Difficulty easy Marks 3 m. Description Practise to find the prime factors of the given number.
Number 4. Name Find the least number Type Other Difficulty easy Marks 3 m. Description Identify the least number which divided by the given numbers and leave the remainder.
Number 5. Name Evaluate the common multiples Type Other Difficulty medium Marks 4 m. Description Practice problem to find the common multiples of two or more numbers.
Number 6. Name Specify the largest number of groups he can make Type Other Difficulty medium Marks 4 m. Description Seek to assess the largest number of groups a person can make.
Number 7. Name Find the largest number of plates can prepare by the boy Type Other Difficulty medium Marks 4 m. Description Work on the problem to find the actual number of plates a boy can prepare.
Number 8. Name Determine the smallest number of books Type Other Difficulty medium Marks 4 m. Description Work on the problem to find the smallest number of books each could have shelved.
Number 9. Name Evaluate the smallest number of each type of box Type Other Difficulty medium Marks 4 m. Description In this exercise, find the smallest number of each type of box that he could have.
Number 10. Name Obtain the longest tape which can measure the box Type Other Difficulty medium Marks 4 m. Description Practice problem to find the length of the longest tape which can measure the carton box.
Number 11. Name Find the LCM using HCF Type Other Difficulty medium Marks 4 m. Description Find the LCM using the given numbers and HCF.
Number 12. Name Find the other number Type Other Difficulty medium Marks 4 m. Description Work on the problem to find the other number using LCM and HCF.
Number 13. Name Determine the smallest three digit number Type Other Difficulty hard Marks 5 m. Description Work on the problem to find the smallest three digit number which is exactly divisible by the given numbers.
Number 14. Name What is the greatest length of the rope he can make Type Other Difficulty hard Marks 4 m. Description Identify the greatest length of the rope a boy can cut.
Number 15. Name When will the buses meet Type Other Difficulty hard Marks 5 m. Description Work on the problem to find when will the buses meet again.
Number 16. Name How many pairs are possible Type Other Difficulty hard Marks 4 m. Description Identify how many pair of numbers are possible for the given LCM and HCF.

Key Questions for School Exam Preparation

Number Name Type Difficulty Marks Description
Number 1. Name Find the least number Type Other Difficulty easy Marks 1 m. Description Apply the concept of prime factorisation and LCM and HCF.
Number 2. Name Determine the ratio Type Other Difficulty easy Marks 2 m. Description Practice the problem to find LCM and HCF of the numbers.
Number 3. Name Find the LCM and HCF Type Other Difficulty medium Marks 3 m. Description Practice the problem to find the prime factorisation of the given numbers.
Number 4. Name Find the time Type Other Difficulty hard Marks 3 m. Description Apply the concept of LCM and HCF of the numbers.

Questions for Teacher Use

Number Name Type Difficulty Marks Description
Number 1. Name Evaluate the least common multiple Type Other Difficulty easy Marks 2 m. Description Work on the problem to find the least common multiple of given numbers.
Number 2. Name Find the prime factors of the composite number Type Other Difficulty medium Marks 4 m. Description Identify the prime factors of the composite numbers using prime factorisation.
Number 3. Name Determine the minimum number of each flower must have watered Type Other Difficulty medium Marks 4 m. Description Try to identify the minimum number of each that must have been watered based on the concept of HCF and LCM.
Number 4. Name Establish the smallest possible number of flats Type Other Difficulty medium Marks 4 m. Description Identify the smallest possible flat number using the concept of HCF and LCM.
Number 5. Name Determine the HCF using LCM Type Other Difficulty medium Marks 4 m. Description Determine the HCF of the given numbers using the given numbers and LCM.
Number 6. Name Obtain the greatest three digit number Type Other Difficulty hard Marks 5 m. Description Obtain the greatest three digit number exactly divisible by the given numbers.
Number 7. Name Verify the relationship between HCF and LCM Type Other Difficulty hard Marks 5 m. Description Work on the problem to verify the relationship between HCF and LCM.
Number 8. Name Relationship between the numbers and their HCF and LCM Type Other Difficulty easy Marks 1 m. Description Apply the concept of relationship between LCM and HCF of two numbers.
Number 9. Name Find HCF using prime factorisation method Type Other Difficulty medium Marks 1 m. Description Try to answer the given questions.
Number 10. Name Application problems on LCM Type Other Difficulty hard Marks 2 m. Description Try to answer the given questions.

Periodic assessments

Number Name Recomended time: Difficulty Marks Description
Number 1. Name Homework I Recomended time: 00:15:00 Difficulty easy Marks 7 m. Description
Number 2. Name Homework II Recomended time: 00:15:00 Difficulty easy Marks 10 m. Description
Number 3. Name Homework III Recomended time: 00:20:00 Difficulty easy Marks 12 m. Description
Number 4. Name Homework IV Recomended time: 00:20:00 Difficulty easy Marks 12 m. Description
Number 5. Name Homework V Recomended time: 00:25:00 Difficulty medium Marks 16 m. Description
Number 6. Name Homework VI Recomended time: 00:25:00 Difficulty medium Marks 16 m. Description
Number 7. Name Revision test I Recomended time: 00:25:00 Difficulty medium Marks 16 m. Description
Number 8. Name Revision test II Recomended time: 00:25:00 Difficulty medium Marks 16 m. Description
Number 9. Name Revision test III Recomended time: 00:30:00 Difficulty hard Marks 20 m. Description
Number 10. Name Revision test IV Recomended time: 00:35:00 Difficulty hard Marks 22 m. Description
Number 11. Name Revision test V Recomended time: 00:35:00 Difficulty hard Marks 24 m. Description
Number 12. Name Revision test VI Recomended time: 00:35:00 Difficulty hard Marks 24 m. Description
Number 13. Name Periodic Assessment Recomended time: 00:10:00 Difficulty medium Marks 6 m. Description PA2