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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.

Practice Questions

Number Name Type Difficulty Marks Description
Number 1. Name Find the common factor Type 2nd type - interpretation 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 2nd type - interpretation 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 2nd type - interpretation Difficulty easy Marks 3 m. Description Practise to find the prime factors of the given number.
Number 4. Name Find the least number Type 3rd type - analysis 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 2nd type - interpretation 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 3rd type - analysis 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 3rd type - analysis 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 3rd type - analysis 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 3rd type - analysis 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 3rd type - analysis 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 2nd type - interpretation Difficulty medium Marks 4 m. Description Find the LCM using the given numbers and HCF.
Number 12. Name Find the other number Type 3rd type - analysis 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 3rd type - analysis 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 3rd type - analysis 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 3rd type - analysis 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 3rd type - analysis Difficulty hard Marks 4 m. Description Identify how many pair of numbers are possible for the given LCM and HCF.

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 Application of LCM Type Other Difficulty hard Marks 2 m. Description Work on the problem to find when will the buses meet again.
Number 9. Name What is the greatest length of the rope he can make Type Other Difficulty hard Marks 2 m. Description Identify the greatest length of the rope a boy can cut.

Tests

Number Name Recomended time: Difficulty Marks Description
Number 1. Name Training test Recomended time: 00:15:00 Difficulty medium Marks 9 m. Description
Number 2. Name Training test Recomended time: 00:15:00 Difficulty medium Marks 11 m. Description
Number 3. Name Training test Recomended time: 00:15:00 Difficulty medium Marks 10 m. Description

Periodic assessments

Number Name Recomended time: Difficulty Marks Description
Number 1. Name Homework Recomended time: 00:20:00 Difficulty medium Marks 11 m. Description
Number 2. Name Homework Recomended time: 00:20:00 Difficulty medium Marks 12 m. Description
Number 3. Name Homework Recomended time: 00:25:00 Difficulty hard Marks 14 m. Description
Number 4. Name Progress test Recomended time: 00:20:00 Difficulty medium Marks 13 m. Description
Number 5. Name Progress test Recomended time: 00:20:00 Difficulty hard Marks 12 m. Description
Number 6. Name Periodic Assessment Recomended time: 00:20:00 Difficulty medium Marks 4 m. Description PA 1