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Methodical recommendation:

Theory

Number Name Description
1. Introduction to real numbers Recall the concept of real numbers.
2. The fundamental theorem of arithmetic Learn fundamental theorem of arithmetic and their usage.
3. Some example problems Some example problems based on Euclid's division algorithm and the fundamental theorem of arithmetic.

Practice Questions

Number Name Type Difficulty Marks Description
1. Choose the correct answers 3rd type - analysis easy 3 m. Analyse the questions and choose the correct answers.
2. Factor tree 3rd type - analysis easy 3 m. Answer the questions using the given factor tree.
3. Select the correct number 3rd type - analysis easy 3 m. Practice problem to find the least divisible number.
4. Prime factorization of numbers 3rd type - analysis medium 4 m. In this exercise, choose the correct answer for the given assertion and reason.
5. Find the HCF and LCM of three numbers 2nd type - interpretation medium 4 m. Work on the problem to find the HCF and LCM of three numbers using prime factorisation method.
6. Calculate the time 3rd type - analysis medium 4 m. Calculate the time using the given information.
7. Determine the value of the variables 3rd type - analysis medium 2 m. Work on the problem to determine the value of the variables using the given information.
8. Evaluate the value of the variable 3rd type - analysis medium 4 m. In this exercise, find the value of the variable using Euclid's division algorithm.
9. HCF and LCM of algebraic expressions 2nd type - interpretation medium 4 m. Work on the problem to find the HCF and LCM of given algebraic expressions.
10. Find the maximum length of the square tile 3rd type - analysis hard 5 m. In this exercise, answer the questions using prime factorisation method.
11. Case study based question: Prime factors and HCF 3rd type - analysis hard 5 m. Understand the situation and answer the given questions.

Questions for Teacher Use

Number Name Type Difficulty Marks Description
1. Determine the HCF and LCM Other medium 4 m. Work on the problem to find the HCF and LCM of the given numbers using prime factorisation method.
2. Pick the correct statement Other medium 4 m. Analyse the assertion and reason, then choose the correct answer.
3. Case study based question: HCF Other hard 5 m. Analyse the situation and answer the given questions.
4. Case Study on HCF and LCM I Other medium 4 m. To know about HCF and LCM.
5. Case Study on HCF and LCM II Other medium 4 m. To know about LCM and HCF.
6. Assertion and Reasoning on HCF and LCM I Other medium 1 m. To Know about LCM and HCF.
7. Assertion and Reasoning on HCF II Other medium 1 m. To know about HCF of two numbers.
8. Assertion and Reasoning on LCM III Other medium 1 m. To know about LCM of two prime numbers.
9. Assertion and Reasoning on fundamental theorem IV Other medium 1 m. To know about fundamental theorem of algebra.
10. Assertion and Reasoning on real numbers V Other medium 1 m. To know about real numbers.
11. Word Problems on longest rod I Other medium 1 m. To know about HCF of three numbers.
12. Word Problems on least number of buckets II Other medium 1 m. To find the required number of buckets by using HCF of three numbers.
13. Word Problems on largest number III Other medium 1 m. To know about HCF.
14. Word problems on least number IV Other medium 2 m. To know about LCM.
15. Word Problem on equal number of packets V Other medium 2 m. To know about HCF of two numbers.

Tests

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

Periodic assessments

Number Name Recomended time: Difficulty Marks Description
1. Homework I 00:20:00 medium 11 m.
2. Homework II 00:20:00 medium 16 m.
3. Progress test I 00:20:00 medium 14 m.
4. Progress test II 00:20:00 medium 15 m.