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