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