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Methodical recommendation:
Theory
| Number | Name | Description |
|---|---|---|
| 1. | Modular arithmetic | Learn the concept of modular arithmetic. |
| 2. | Congruence modulo | Learn the concept of congruence modulo. |
| 3. | Connecting Euclid's division lemma and modular arithmetic | Learn the concept of connecting Euclid's division lemma and modular arithmetic. |
| 4. | Modulo operations | Let us learn the concept of modulo operations. |
Textbook Questions
| Number | Name | Type | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Multiple choice question | Other | easy | 1 m. | Try to answer the question using congruence modulus, |
| 2. | Two marks example problems I | Other | medium | 2 m. | Practice a problem to find the value of the variable. |
| 3. | Two marks example problems II | Other | medium | 2 m. | Practice a problem to find the value of the variable. |
| 4. | Two marks example problems III | Other | medium | 2 m. | Practice a problem to find the value of the variable. |
| 5. | Two marks example problems IV | Other | medium | 2 m. | Practice problems based on congruence modulo. |
| 6. | Two marks example problems V | Other | medium | 2 m. | Practice problems based on congruence modulo. |
| 7. | Two marks example problems VI | Other | medium | 2 m. | Practice problems based on congruence modulo. |
| 8. | Two marks exercise problems I | Other | medium | 2 m. | Practice a problem to find the least positive value. |
| 9. | Two marks exercise problems II | Other | medium | 2 m. | Practice a problem to find the least positive value. |
| 10. | Two marks exercise problems III | Other | medium | 2 m. | Practice a problem to find the least positive value. |
| 11. | Two marks exercise problems IV | Other | medium | 2 m. | Practice a problem to find the least positive value. |
| 12. | Two marks exercise problems V | Other | medium | 2 m. | Practice a problem to find the least positive value. |
| 13. | Two marks exercise problems VI | Other | medium | 2 m. | Practice a problem to find the time. |
| 14. | Two marks exercise problems VII | Other | medium | 2 m. | Practice a problem to find the time. |
| 15. | Two marks exercise problems VIII | Other | medium | 2 m. | Practice a problem to find the time. |
| 16. | Two marks exercise problems IX | Other | medium | 2 m. | Select the suitable choice for the given question. |
| 17. | Two marks exercise problems X | Other | medium | 2 m. | Select the suitable choice for the given question. |
| 18. | Five marks example problems I | Other | hard | 5 m. | Check your understanding skills in the concept of congruence modulo. |
| 19. | Five marks example problems II | Other | hard | 5 m. | Check your understanding skills in the concept of congruence modulo. |
| 20. | Five marks example problems III | Other | hard | 5 m. | Check your understanding skills in the concept of congruence modulo. |
| 21. | Five marks exercise problems I | Other | hard | 5 m. | Try to find the unknown number. |
| 22. | Five marks exercise problems II | Other | hard | 5 m. | Try to find the unknown number. |
| 23. | Five marks exercise problems III | Other | hard | 5 m. | Try to find the remainder of the given number. |
| 24. | Five marks exercise problems IV | Other | hard | 0 m. | Try to prove the given question. |
Practice Questions
| Number | Name | Type | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Find the missing number | Other | easy | 2 m. | In this exercise, find the missing number in the congruence modulo. |
| 2. | Choose the possible values of x | Other | easy | 2 m. | Select the suitable choice for the given question. |
| 3. | Select the best choice | Other | easy | 2 m. | Try to find the answer by applying the theorem. |
| 4. | Subtraction and multiplication in modular arithmetic | Other | medium | 4 m. | Apply the theorem and find the value. |
| 5. | Find the remainder | Other | medium | 4 m. | Try to find the remainder of the given congruence modulo. |
| 6. | Calculate the smallest positive value | Other | medium | 4 m. | Try to find the least positive value of the variable. |
| 7. | Who is correct? | Other | hard | 5 m. | Check your understanding skills in the concept of congruence modulo. |
| 8. | Determine the time | Other | hard | 5 m. | Try to find the time for the given problem. |
Key Questions for School Exam Preparation
| Number | Name | Type | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Find the day when Vani celebrated her birthday | Other | hard | 5 m. | Find the day of birthday using congruence modulo. |
| 2. | Find the arrival time of the train | Other | hard | 5 m. | Check your understanding skills in the concept of congruence modulo. |
| 3. | Find the landing time of the flight | Other | hard | 5 m. | Check your understanding skills in the concept of congruence modulo. |
Questions for Teacher Use
| Number | Name | Type | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Answer the question | Other | easy | 3 m. | Check your understanding skills in modular arithmetic. |
| 2. | Determine the missing number | Other | easy | 1 m. | In this exercise, identify the missing number in the congruence modulo. |
| 3. | Determine the value of the variable | Other | medium | 3 m. | Practice a problem to find the value of the variable. |
| 4. | Find the least positive integer | Other | medium | 1 m. | Try to find the value of x using congruence modulo. |
| 5. | Find the day you were born | Other | hard | 5 m. | Try to find the day you were born using congruence modulo. |
| 6. | Modular arithmetic | Other | medium | 2 m. | Practice a problem to find the time. |
Worksheets
| Number | Name | Recomended time: | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Worksheet I | 00:20:00 | medium | 10 m. | |
| 2. | Worksheet II | 00:20:00 | medium | 14 m. |
Periodic assessments
| Number | Name | Recomended time: | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Homework I | 00:15:00 | easy | 7 m. | |
| 2. | Homework II | 00:20:00 | easy | 8 m. | |
| 3. | Homework III | 00:20:00 | medium | 8 m. | |
| 4. | Homework IV | 00:25:00 | medium | 8 m. | |
| 5. | Homework V | 00:25:00 | medium | 8 m. | |
| 6. | Revision test I | 00:25:00 | medium | 16 m. | |
| 7. | Revision test II | 00:30:00 | hard | 11 m. | |
| 8. | Revision test III | 00:30:00 | hard | 20 m. | |
| 9. | Revision test IV | 00:30:00 | hard | 15 m. | |
| 10. | Revision test V | 00:30:00 | hard | 20 m. | |
| 11. | Periodic Assessment | 00:10:00 | medium | 2 m. |
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