UPSKILL MATH PLUS
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Theory
| Number | Name | Description |
|---|---|---|
| 1. | Introduction to powers and exponents | Introduction about powers and exponents |
| 2. | What is an exponent? | Example on exponents |
| 3. | Powers with positive and negative exponents | Laws of negative exponents |
| 4. | Power1 or 0 | Rules and laws with power 0 and 1 |
| 5. | Grades of exponents | Rules and examples on squaring and cubing of powers |
| 6. | Negative power | Finding the value of negative exponents |
| 7. | Law of exponents | Laws involving powers and exponents |
| 8. | Degrees of single prime numbers | The degrees of single digit prime numbers often used |
| 9. | Division of degrees with identical bases | Dividing degrees with same bases. |
Textbook Questions
| Number | Name | Type | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | One mark exercise problems I | Other | easy | 3 m. | Select the suitable choice for the given questions. |
| 2. | One mark exercise problems II | Other | easy | 2 m. | Select the correct option for the questions. |
| 3. | One mark exercise problems III | Other | easy | 4 m. | Check your understanding skills in the concept of exponent and powers. |
| 4. | One mark exercise problems IV | Other | easy | 5 m. | Check whether the given equations are correct or not. |
| 5. | Two marks example problems I | Other | medium | 6 m. | Try to write the given numbers in exponential form. |
| 6. | Two marks example problems II | Other | medium | 8 m. | Practice the problem to find the value of the exponential form. |
| 7. | Two marks example problems III | Other | medium | 6 m. | Try to answer the given questions. |
| 8. | Two marks example problems IV | Other | medium | 6 m. | Check your understanding skills in the concept of product rule of exponents. |
| 9. | Two marks example problems V | Other | medium | 6 m. | Try to answer the given questions. |
| 10. | Two marks example problems VI | Other | medium | 6 m. | Apply the concept of power rule of exponents and simplify the given. |
| 11. | Two marks example problems VII | Other | medium | 8 m. | Apply the concept of law of exponents and simplify the given. |
| 12. | Two marks exercise problems I | Other | medium | 8 m. | Practice the problem to find the value of the exponential form. |
| 13. | Two marks exercise problems II | Other | medium | 8 m. | Try to write the given numbers in exponential form. |
| 14. | Two marks exercise problems III | Other | medium | 6 m. | Practice the problem to find the greater exponential number. |
| 15. | Two marks exercise problems IV | Other | medium | 6 m. | Try to find the value of the exponential form. |
| 16. | Two marks exercise problems V | Other | medium | 6 m. | Try to find the value of the exponential form. |
| 17. | Two marks exercise problems VI | Other | medium | 10 m. | Apply the concept of law of exponents and simplify the given. |
| 18. | Two marks exercise problems VII | Other | medium | 10 m. | Check your understanding skills in the concept of law of exponents. |
| 19. | Two marks exercise problems VIII | Other | hard | 8 m. | Try to find the value of the given expression. |
| 20. | Two marks exercise problems IX | Other | hard | 6 m. | Practice the problem to express the given in exponential form. |
| 21. | Two marks exercise problems X | Other | hard | 4 m. | Practice the problem to express the given in exponential form. |
| 22. | Three marks exercise problems I | Other | hard | 6 m. | Check your understanding skills in the concept of exponential numbers. |
| 23. | Three marks exercise problems II | Other | hard | 6 m. | Try to find the value of the given expressions. |
| 24. | Three marks exercise problem III | Other | hard | 6 m. | Try to answer the given questions. |
Practice Questions
| Number | Name | Type | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Comparison of numerical inequalities | Other | easy | 2 m. | Comparison of inequalities which contains power. |
| 2. | Base and power | Other | easy | 3 m. | Find the base and power of the given number. |
| 3. | Product of degrees | Other | easy | 2 m. | Using degree properties. |
| 4. | Product in the form of a degree | Other | easy | 3 m. | Record a work as a degree by definition. |
| 5. | Base and exponent | Other | easy | 3 m. | Determination of base and exponent. |
| 6. | Squaring of decimals | Other | easy | 2 m. | Exponentiation. |
| 7. | Product of degrees with identical bases | Other | easy | 3 m. | Representation of an expression as a product of two degrees with the same bases |
| 8. | The equation | Other | medium | 5 m. | The solution of the equation. |
| 9. | Power of a fraction | Other | medium | 3 m. | Calculation of the value of an expression. |
| 10. | Value comparison | Other | medium | 3 m. | Compare function values. |
| 11. | Raising a fraction in a degree (negative denominator) | Other | medium | 5 m. | The raising to a power of a fraction. |
| 12. | Decreasing (increasing) degrees | Other | medium | 4 m. | The arrangement of numbers in descending (ascending) order. |
| 13. | Numerical value of fraction | Other | medium | 6 m. | Calculation of expression value. |
| 14. | Properties of degrees with a natural exponent | Other | medium | 5 m. | The solution of the equation. |
| 15. | The product of three fractions with the same exponents | Other | hard | 6 m. | Calculation of the value of an expression. |
| 16. | Degree properties | Other | hard | 6 m. | The solution of the equation. |
| 17. | Common fraction | Other | hard | 6 m. | The solution of the equation. |
| 18. | To find the unknown exponent(product) | Other | hard | 4 m. | Finding an unknown exponent. |
Key Questions for School Exam Preparation
| Number | Name | Type | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Simplify using law of exponents | Other | medium | 2 m. | Check your understanding skills in the concept of law of exponents. |
| 2. | Write in exponential form | Other | hard | 3 m. | Practice the problem to express the given in exponential form. |
| 3. | Find the value of x | Other | hard | 3 m. | Check your understanding skills in the concept of exponential numbers. |
| 4. | Determine the number of members | Other | hard | 3 m. | Try to answer the given question. |
Questions for Teacher Use
| Number | Name | Type | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Area of square | Other | easy | 3 m. | Calculate the area of square using exponents. |
| 2. | Area of circle | Other | easy | 3 m. | Calculate the area of circle. |
| 3. | Finding unknown base squared | Other | medium | 4 m. | Finding a monomial in parentheses (equal degrees and the product of an ordinary fraction by a degree). |
| 4. | Fraction value calculation | Other | medium | 4 m. | The calculation of the fraction value. |
| 5. | Equation reducible to linear | Other | hard | 5 m. | Finding an unknown exponent. |
| 6. | Finding the unknown exponent(quotient) | Other | hard | 4 m. | Finding an unknown exponent. |
| 7. | Simplify by using the law of exponents | Other | medium | 1 m. | Apply the concept of law of exponents and simplify the given. |
| 8. | Simplification of the expression | Other | medium | 1 m. | Try to find the value of the exponential form. |
| 9. | Find the value of the expression | Other | hard | 1 m. | Try to find the value of the given expression. |
| 10. | Addition of exponents and powers | Other | medium | 1 m. | Practice the problem to find the value of the exponential form. |
Periodic assessments
| Number | Name | Recomended time: | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Homework I | 00:15:00 | easy | 9 m. | |
| 2. | Homework II | 00:20:00 | easy | 11 m. | |
| 3. | Homework III | 00:20:00 | easy | 12 m. | |
| 4. | Homework IV | 00:20:00 | medium | 12 m. | |
| 5. | Homework V | 00:25:00 | medium | 16 m. | |
| 6. | Homework VI | 00:30:00 | medium | 18 m. | |
| 7. | Homework VII | 00:30:00 | medium | 18 m. | |
| 8. | Revision test I | 00:30:00 | medium | 21 m. | |
| 9. | Revision test II | 00:35:00 | medium | 24 m. | |
| 10. | Revision test III | 00:35:00 | hard | 24 m. | |
| 11. | Revision test IV | 00:35:00 | hard | 24 m. | |
| 12. | Revision test V | 00:40:00 | hard | 30 m. | |
| 13. | Revision test VI | 00:45:00 | hard | 36 m. | |
| 14. | Periodic Assessment | 00:10:00 | medium | 6 m. | PA 2 |
| 15. | Bridge Course Demo 2 | 00:10:00 | medium | 2 m. |
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