UPSKILL MATH PLUS
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Theory
| Number | Name | Description |
|---|---|---|
| 1. | Decimal expansion of rational numbers | Let us understand the decimal expansion of rational numbers. |
| 2. | Summary of reciprocal of natural number | Let us see the reciprocal of natural number(rational numbers) with its decimal expansions. |
| 3. | Period of decimal expansion | Let us learn the concept of period of decimal expansion for solving problems. |
| 4. | Convert the decimal form of rational numbers to fractional form | Let us learn to convert decimals form of rational numbers to its fractional form. |
| 5. | Check whether the decimal form of rational number will terminate or non-terminate | Let us learn the rule to check the decimal form of rational number will terminate or non-terminate. |
| 6. | Decimal expansion of irrational number | Let us learn about the decimal expansion of irrational numbers. |
| 7. | Some facts about irrational numbers | Let us learn some interesting facts about some irrational numbers. |
| 8. | Finding irrational numbers between two numbers | Let us learn the procedure to construct irrational numbers. |
| 9. | Introduction to real numbers | Let us about real numbers with its decimal expansions. |
Textbook Questions
| Number | Name | Type | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Multiple choice question | Other | easy | 2 m. | Try to answer the given testbook questions. |
| 2. | Two marks example problems I | Other | medium | 4 m. | Try to answer the given textbook questions. |
| 3. | Two marks example problems II | Other | medium | 3 m. | Try to answer the given textbook questions. |
| 4. | Two marks example problems III | Other | medium | 4 m. | Try to answer the given textbook questions. |
| 5. | Two marks example problems IV | Other | medium | 2 m. | Try to answer the given textbook questions. |
| 6. | Two marks example problems V | Other | medium | 0 m. | Try to answer the given textbook questions. |
| 7. | Two marks example problems VI | Other | medium | 2 m. | Try to answer the given textbook questions. |
| 8. | Two marks example problems VII | Other | medium | 2 m. | Try to answer the given textbook questions. |
| 9. | Two marks example problems VIII | Other | medium | 2 m. | Try to answer the given textbook questions. |
| 10. | Two marks exercise problems I | Other | medium | 4 m. | Try to answer the given textbook questions. |
| 11. | Two marks exercise problems II | Other | medium | 4 m. | Try to answer the given textbook questions. |
| 12. | Two marks exercise problems III | Other | medium | 4 m. | Try to answer the given textbook questions. |
| 13. | Two marks exercise problems IV | Other | medium | 2 m. | Try to answer the given textbook questions. |
| 14. | Two marks exercise problems V | Other | medium | 2 m. | Try to answer the given textbook questions. |
| 15. | Two marks exercise problems VI | Other | medium | 2 m. | Try to answer the given textbook questions. |
| 16. | Two marks exercise problems VII | Other | medium | 2 m. | Try to answer the given textbook questions. |
| 17. | Two marks exercise problems VIII | Other | medium | 0 m. | Try to answer the given textbook questions. |
| 18. | Two marks exercise problems X | Other | medium | 2 m. | Try to answer the given textbook questions. |
| 19. | Two marks exercise problems XI | Other | medium | 2 m. | Try to answer the given textbook questions. |
| 20. | Two marks exercise problems XII | Other | medium | 2 m. | Try to answer the given textbook questions. |
| 21. | Five marks example problems IX | Other | hard | 5 m. | Try to answer the given textbook questions. |
| 22. | Five marks example problems X | Other | hard | 5 m. | Try to answer the given textbook questions. |
| 23. | Five marks example problems XI | Other | hard | 0 m. | Try to answer the given textbook questions. |
| 24. | Five marks example problems XII | Other | hard | 0 m. | Try to answer the given textbook questions. |
| 25. | Five marks exercise problems XIII | Other | hard | 5 m. | Try to answer the given textbook questions. |
| 26. | Five marks exercise problems XIV | Other | hard | 0 m. | Try to answer the given textbook questions. |
| 27. | Five marks exercise problems XV | Other | hard | 0 m. | Try to answer the given textbook questions. |
| 28. | Five marks exercise problems XVI | Other | hard | 0 m. | Try to answer the given textbook questions. |
Practice Questions
| Number | Name | Type | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Determine the decimal expansion and its nature | Other | easy | 4 m. | Practice to find the decimal expansion of rational number and conclude its nature. |
| 2. | Express the recurring decimal to terminating decimal | Other | easy | 3 m. | Practice to convert recurring decimals to terminating decimals. |
| 3. | Classify the decimal expansion | Other | easy | 3 m. | Practice to classify the rational number without doing long division. |
| 4. | Modify the decimal expression in fraction form | Other | medium | 4 m. | Convert the decimal expression of rational number in fraction form. |
| 5. | Express the decimal number in rational form | Other | medium | 4 m. | Convert the decimal expression of rational number in fraction form. |
| 6. | Switch the decimal expression in fraction form | Other | medium | 3 m. | Convert the decimal expression of rational number in fraction form. |
| 7. | Write the decimal expression in fraction form | Other | hard | 6 m. | Convert the decimal expression of rational number in fraction form. |
| 8. | Transform the decimal expression in fraction form | Other | hard | 4 m. | Convert the decimal expression of rational number in fraction form. |
| 9. | Transform the decimal expression in fraction form | Other | hard | 5 m. | Convert the decimal expression of rational number in fraction form. |
Key Questions for School Exam Preparation
| Number | Name | Type | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Express in recurring decimal form | Other | medium | 5 m. | Try to answer the given textbook questions. |
Questions for Teacher Use
| Number | Name | Type | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Get some applications of irrational number(Golden ratio) | Other | medium | 5 m. | Collect some examples on the irrational number golden ratio through online and show some pictures on it. |
| 2. | Find the length of period of decimal expansion | Other | medium | 4 m. | Apply long division method to find the decimal expansion of rational number with its period. |
| 3. | Find an irrational number between two numbers | Other | hard | 5 m. | Construct irrational numbers between two numbers. |
| 4. | Write an irrational number between two numbers | Other | hard | 5 m. | Construct irrational numbers between two numbers. |
| 5. | Decimal expression into fraction form | Other | medium | 2 m. | Convert the decimal expression of rational number in fraction form. |
| 6. | Rationalize the denominator | Other | medium | 2 m. | This exercise is to check your basic knowledge in the concept of surds and its operations. |
Periodic assessments
| Number | Name | Recomended time: | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Homework I | 00:20:00 | medium | 16 m. | |
| 2. | Homework II | 00:20:00 | medium | 13 m. | |
| 3. | Homework III | 00:20:00 | medium | 14 m. | |
| 4. | Homework IV | 00:20:00 | medium | 11 m. | |
| 5. | Homework V | 00:20:00 | medium | 6 m. | |
| 6. | Homework VI | 00:20:00 | medium | 9 m. | |
| 7. | Revision test I | 00:20:00 | medium | 10 m. | |
| 8. | Revision test II | 00:20:00 | medium | 11 m. | |
| 9. | Revision test III | 00:20:00 | medium | 10 m. | |
| 10. | Revision test IV | 00:20:00 | medium | 7 m. | |
| 11. | Revision test V | 00:20:00 | medium | 15 m. | |
| 12. | Revision test VI | 00:20:00 | medium | 11 m. | |
| 13. | Periodic Assessment | 00:10:00 | medium | 4 m. | PA 1 - Decimal Expansion of Rational and Irrational numbers |
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