UPSKILL MATH PLUS
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Theory
| Number | Name | Description |
|---|---|---|
| 1. | Law of exponents for real numbers | Remember the laws of exponents to reduce the expressions. |
| 2. | Radical notation | Let us understand the concept of radical notation. |
| 3. | Surds | Let us learn the concept of surds. |
| 4. | Types of surds | Let us learn the types of surds. |
| 5. | Laws of radicals | Let us learn the concept of laws of radicals. |
| 6. | Four basic operations on surds | Let us learn the concept of how to solve the surds using the four basic operations. |
| 7. | Rationalisation of surds and conjugate surds | Let us learn the concept of rationalisation of surds and conjugate surds. |
| 8. | Rationalise the denominator | Learn to rationalising the denominator to make the expression in simpler form. |
| 9. | Scientific notation and writing a number in scientific notation | Learn the concept of scientific notation and how to write a number in scientific notation. |
| 10. | Converting scientific notation to decimal form | Let us learn how to convert scientific notation to decimal form. |
| 11. | Arithmetic of numbers in scientific notation | Let us learn the concept of arithmetic of numbers in scientific notation. |
Textbook Questions
| Number | Name | Type | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Multiple choice questions I | Other | easy | 3 m. | This exercise is to check your basic knowledge in the concept of surds and its operations. |
| 2. | Multiple choice questions II | Other | easy | 3 m. | This exercise is to check your basic knowledge in the concept of surds and its operations. |
| 3. | Multiple choice questions III | Other | easy | 2 m. | This exercise is to check your basic knowledge in the concept of surds and scientific notations. |
| 4. | Multiple choice questions IV | Other | easy | 2 m. | This exercise is to check your basic knowledge in the concept of surds and scientific notations. |
| 5. | Two marks example problems I | Other | medium | 6 m. | This exercise is to check your basic knowledge in the concept of surds and its operations. |
| 6. | Two marks example problems II | Other | medium | 4 m. | This exercise is to check your basic knowledge in the concept of surds and its operations. |
| 7. | Two marks example problems III | Other | medium | 2 m. | This exercise is to check your basic knowledge in the concept of surds and its operations. |
| 8. | Two marks example problems IV | Other | medium | 2 m. | This exercise is to check your basic knowledge in the concept of surds and its operations. |
| 9. | Two marks example problems V | Other | medium | 2 m. | This exercise is to check your basic knowledge in the concept of surds and its operations. |
| 10. | Two marks example problems VI | Other | medium | 4 m. | This exercise is to check your basic knowledge in the concept of surds and its operations. |
| 11. | Two marks example problems VII | Other | medium | 4 m. | This exercise is to check your basic knowledge in the concept of surds and its operations. |
| 12. | Two marks example problems VIII | Other | medium | 12 m. | This exercise is to check your basic knowledge in the concept of scientific notations. |
| 13. | Two marks exercise problems I | Other | medium | 6 m. | This exercise is to check your basic knowledge in the concept of surds and its operations. |
| 14. | Two marks exercise problems II | Other | medium | 2 m. | This exercise is to check your basic knowledge in the concept of surds and its operations. |
| 15. | Two marks exercise problems III | Other | medium | 2 m. | This exercise is to check your basic knowledge in the concept of surds and its operations. |
| 16. | Two marks exercise problems IV | Other | medium | 2 m. | This exercise is to check your basic knowledge in the concept of surds and its operations. |
| 17. | Two marks exercise problems V | Other | medium | 2 m. | This exercise is to check your basic knowledge in the concept of surds and its operations. |
| 18. | Two marks exercise problems VI | Other | medium | 2 m. | This exercise is to check your basic knowledge in the concept of surds and its operations. |
| 19. | Two marks exercise problems VII | Other | medium | 8 m. | This exercise is to check your basic knowledge in the concept of surds and its operations. |
| 20. | Two marks exercise problems VIII | Other | medium | 10 m. | This exercise is to check your basic knowledge in the concept of surds and its operations. |
| 21. | Two marks exercise problems IX | Other | medium | 2 m. | This exercise is to check your basic knowledge in the concept of surds and its operations. |
| 22. | Two marks exercise problems X | Other | medium | 0 m. | This exercise is to check your basic knowledge in the concept of surds and its operations. |
| 23. | Two marks exercise problems XI | Other | medium | 8 m. | This exercise is to check your basic knowledge in the concept of surds and its operations. |
| 24. | Two marks exercise problems XII | Other | medium | 4 m. | This exercise is to check your basic knowledge in the concept of scientific notations. |
| 25. | Two marks exercise problems XIII | Other | medium | 4 m. | This exercise is to check your basic knowledge in the concept of scientific notations. |
| 26. | Two marks exercise problems XIV | Other | medium | 16 m. | This exercise is to check your basic knowledge in the concept of scientific notations. |
| 27. | Two marks exercise problems XV | Other | medium | 14 m. | This exercise is to check your basic knowledge in the concept of scientific notations. |
| 28. | Five marks example problems XI | Other | medium | 5 m. | This exercise is to check your basic knowledge in the concept of surds and its operations. |
| 29. | Five marks exercise problems XVI | Other | hard | 10 m. | This exercise is to check your basic knowledge in the concept of surds and its operations. |
| 30. | Five marks exercise problems XVII | Other | hard | 10 m. | This exercise is to check your basic knowledge in the concept of surds and its operations. |
| 31. | Five marks exercise problems XVIII | Other | hard | 10 m. | This exercise is to check your basic knowledge in the concept of surds and its operations. |
| 32. | Five marks exercise problems XIX | Other | hard | 10 m. | This exercise is to check your basic knowledge in the concept of surds and its operations. |
| 33. | Five marks exercise problems XX | Other | hard | 5 m. | This exercise is to check your basic knowledge in the concept of surds and its operations. |
| 34. | Five marks exercise problems XXI | Other | hard | 15 m. | This exercise is to check your basic knowledge in the concept of scientific notations. |
Practice Questions
| Number | Name | Type | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Enter the value in reduced form | Other | easy | 2 m. | Use the suitable law of exponents to convert the expression in simpler form. |
| 2. | Find the order | Other | easy | 2 m. | Practice a problem to find the order of the surd. |
| 3. | Write in Index notation | Other | easy | 2 m. | Try to find the index notation of the given problem. |
| 4. | Write in scientific notation | Other | easy | 2 m. | Check your understanding skills in the concept of converting a number into scientific notation. |
| 5. | Write in decimal form | Other | easy | 2 m. | Practice a problem to convert the scientific notation to decimal form. |
| 6. | Rationalise the expressions | Other | medium | 5 m. | Apply the concept of rationalising the denominator and simplify the expressions. |
| 7. | Add, multiply the given expressions | Other | medium | 4 m. | Use the identities and properties of real numbers to simplify the expressions. |
| 8. | Find the simpler form of exponents | Other | medium | 4 m. | Practice a problem on law of exponents and reduce it to simplified form. |
| 9. | Subtract, divide the given expressions | Other | medium | 4 m. | Practice a problem on identities and properties of real numbers. |
| 10. | Simplify the expressions | Other | medium | 4 m. | Try to simplify the given questions. |
| 11. | Answer the questions | Other | medium | 4 m. | Apply the law of radicals and find the solution. |
| 12. | Determine the value of the expression | Other | hard | 6 m. | Practice a problem to find the value of the given expressions. |
| 13. | Add, subtract and multiply the given expressions | Other | hard | 5 m. | Practice a problem on opertions on real numbers. |
| 14. | Apply law of exponents | Other | hard | 5 m. | Practice problems on simplifying the numbers with radicals by applying law of exponents. |
| 15. | Reduce the expression by rationalising it | Other | hard | 5 m. | Try solving the problem on rationalising the expressions. |
Key Questions for School Exam Preparation
| Number | Name | Type | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Arrange surds in descending order | Other | hard | 5 m. | This exercise is to check your basic knowledge in the concept of surds and its operations. |
Questions for Teacher Use
| Number | Name | Type | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Reduce the expression in simpler form | Other | easy | 2 m. | Use the law of exponents and convert the expression in simpler form. |
| 2. | Choose the correct answer | Other | medium | 3 m. | Select the suitable choice for the given questions. |
| 3. | Simplify the expression | Other | medium | 4 m. | With the help of identities convert the expressions into simpler form. |
| 4. | Write in scientific notation and in decimal form | Other | hard | 10 m. | Check your understanding skills in the concept of scientific notation. |
| 5. | Add and subtract the surds | Other | medium | 2 m. | This exercise is to check your basic knowledge in the concept of surds and its operations. |
| 6. | Write in scientific notation | Other | medium | 2 m. | This exercise is to check your basic knowledge in the concept of scientific notations. |
Tests
| Number | Name | Recomended time: | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Training test I | 00:20:00 | medium | 21 m. | |
| 2. | Training test II | 00:20:00 | medium | 17 m. | |
| 3. | Training test III | 00:20:00 | medium | 22 m. |
Periodic assessments
| Number | Name | Recomended time: | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Training test IV | 00:20:00 | medium | 24 m. | |
| 2. | Training test V | 00:20:00 | medium | 13 m. | |
| 3. | Training test VI | 00:20:00 | medium | 24 m. | |
| 4. | Training test VII | 00:20:00 | medium | 46 m. | |
| 5. | Homework I | 00:20:00 | medium | 25 m. | |
| 6. | Homework II | 00:20:00 | medium | 24 m. | |
| 7. | Homework III | 00:20:00 | medium | 22 m. | |
| 8. | Homework IV | 00:20:00 | medium | 30 m. | |
| 9. | Homework V | 00:20:00 | medium | 33 m. | |
| 10. | Homework VI | 00:20:00 | medium | 32 m. | |
| 11. | Periodic Assessment | 00:10:00 | medium | 4 m. | PA 1 - Surds and its Basic Operations and Scientific Notation |
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