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Methodical recommendation:

Theory

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

Practice Questions

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

Questions for Teacher Use

Number Name Type Difficulty Marks Description
1. Evaluate the least common multiple Other easy 2 m. Work on the problem to find the least common multiple of given numbers.
2. Find the prime factors of the composite number Other medium 4 m. Identify the prime factors of the composite numbers using prime factorisation.
3. Determine the minimum number of each flower must have watered Other medium 4 m. Try to identify the minimum number of each that must have been watered based on the concept of HCF and LCM.
4. Establish the smallest possible number of flats Other medium 4 m. Identify the smallest possible flat number using the concept of HCF and LCM.
5. Determine the HCF using LCM Other medium 4 m. Determine the HCF of the given numbers using the given numbers and LCM.
6. Obtain the greatest three digit number Other hard 5 m. Obtain the greatest three digit number exactly divisible by the given numbers.
7. Verify the relationship between HCF and LCM Other hard 5 m. Work on the problem to verify the relationship between HCF and LCM.
8. Application of LCM Other hard 2 m. Work on the problem to find when will the buses meet again.
9. What is the greatest length of the rope he can make Other hard 2 m. Identify the greatest length of the rope a boy can cut.

Tests

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

Periodic assessments

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