UPSKILL MATH PLUS
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Theory
| Number | Name | Description |
|---|---|---|
| Number 1. | Name Introduction to real numbers | Description Recall the concept of real numbers. |
| Number 2. | Name The fundamental theorem of arithmetic | Description Learn fundamental theorem of arithmetic and their usage. |
| Number 3. | Name Some example problems | Description Some example problems based on Euclid's division algorithm and the fundamental theorem of arithmetic. |
Practice Questions
| Number | Name | Type | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| Number 1. | Name Choose the correct answers | Type 3rd type - analysis | Difficulty easy | Marks 3 m. | Description Analyse the questions and choose the correct answers. |
| Number 2. | Name Factor tree | Type 3rd type - analysis | Difficulty easy | Marks 3 m. | Description Answer the questions using the given factor tree. |
| Number 3. | Name Select the correct number | Type 3rd type - analysis | Difficulty easy | Marks 3 m. | Description Practice problem to find the least divisible number. |
| Number 4. | Name Prime factorization of numbers | Type 3rd type - analysis | Difficulty medium | Marks 4 m. | Description In this exercise, choose the correct answer for the given assertion and reason. |
| Number 5. | Name Find the HCF and LCM of three numbers | Type 2nd type - interpretation | Difficulty medium | Marks 4 m. | Description Work on the problem to find the HCF and LCM of three numbers using prime factorisation method. |
| Number 6. | Name Calculate the time | Type 3rd type - analysis | Difficulty medium | Marks 4 m. | Description Calculate the time using the given information. |
| Number 7. | Name Determine the value of the variables | Type 3rd type - analysis | Difficulty medium | Marks 2 m. | Description Work on the problem to determine the value of the variables using the given information. |
| Number 8. | Name Evaluate the value of the variable | Type 3rd type - analysis | Difficulty medium | Marks 4 m. | Description In this exercise, find the value of the variable using Euclid's division algorithm. |
| Number 9. | Name HCF and LCM of algebraic expressions | Type 2nd type - interpretation | Difficulty medium | Marks 4 m. | Description Work on the problem to find the HCF and LCM of given algebraic expressions. |
| Number 10. | Name Find the maximum length of the square tile | Type 3rd type - analysis | Difficulty hard | Marks 5 m. | Description In this exercise, answer the questions using prime factorisation method. |
| Number 11. | Name Case study based question: Prime factors and HCF | Type 3rd type - analysis | Difficulty hard | Marks 5 m. | Description Understand the situation and answer the given questions. |
Questions for Teacher Use
| Number | Name | Type | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| Number 1. | Name Determine the HCF and LCM | Type Other | Difficulty medium | Marks 4 m. | Description Work on the problem to find the HCF and LCM of the given numbers using prime factorisation method. |
| Number 2. | Name Pick the correct statement | Type Other | Difficulty medium | Marks 4 m. | Description Analyse the assertion and reason, then choose the correct answer. |
| Number 3. | Name Case study based question: HCF | Type Other | Difficulty hard | Marks 5 m. | Description Analyse the situation and answer the given questions. |
| Number 4. | Name Case Study on HCF and LCM I | Type Other | Difficulty medium | Marks 4 m. | Description To know about HCF and LCM. |
| Number 5. | Name Case Study on HCF and LCM II | Type Other | Difficulty medium | Marks 4 m. | Description To know about LCM and HCF. |
| Number 6. | Name Assertion and Reasoning on HCF and LCM I | Type Other | Difficulty medium | Marks 1 m. | Description To Know about LCM and HCF. |
| Number 7. | Name Assertion and Reasoning on HCF II | Type Other | Difficulty medium | Marks 1 m. | Description To know about HCF of two numbers. |
| Number 8. | Name Assertion and Reasoning on LCM III | Type Other | Difficulty medium | Marks 1 m. | Description To know about LCM of two prime numbers. |
| Number 9. | Name Assertion and Reasoning on fundamental theorem IV | Type Other | Difficulty medium | Marks 1 m. | Description To know about fundamental theorem of algebra. |
| Number 10. | Name Assertion and Reasoning on real numbers V | Type Other | Difficulty medium | Marks 1 m. | Description To know about real numbers. |
| Number 11. | Name Word Problems on longest rod I | Type Other | Difficulty medium | Marks 1 m. | Description To know about HCF of three numbers. |
| Number 12. | Name Word Problems on least number of buckets II | Type Other | Difficulty medium | Marks 1 m. | Description To find the required number of buckets by using HCF of three numbers. |
| Number 13. | Name Word Problems on largest number III | Type Other | Difficulty medium | Marks 1 m. | Description To know about HCF. |
| Number 14. | Name Word problems on least number IV | Type Other | Difficulty medium | Marks 2 m. | Description To know about LCM. |
| Number 15. | Name Word Problem on equal number of packets V | Type Other | Difficulty medium | Marks 2 m. | Description To know about HCF of two numbers. |
Tests
| Number | Name | Recomended time: | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| Number 1. | Name Training test I | Recomended time: 00:15:00 | Difficulty medium | Marks 9 m. | Description |
| Number 2. | Name Training test II | Recomended time: 00:15:00 | Difficulty medium | Marks 11 m. | Description |
Periodic assessments
| Number | Name | Recomended time: | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| Number 1. | Name Homework I | Recomended time: 00:20:00 | Difficulty medium | Marks 11 m. | Description |
| Number 2. | Name Homework II | Recomended time: 00:20:00 | Difficulty medium | Marks 16 m. | Description |
| Number 3. | Name Progress test I | Recomended time: 00:20:00 | Difficulty medium | Marks 14 m. | Description |
| Number 4. | Name Progress test II | Recomended time: 00:20:00 | Difficulty medium | Marks 15 m. | Description |
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