UPSKILL MATH PLUS
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Theory
| Number | Name | Description |
|---|---|---|
| 1. | Introduction to triginometric ratios | To learn the trigonometric ratios from the right angled triangle. |
| 2. | Reciprocals of basic triginometric ratios | To learn the reciprocals of trigonometric ratios. |
| 3. | Trigonometric ratios of 45° | To derive the values of all the trigonometric ratios of 45°. |
| 4. | Trigonometric ratios of 30° and 60° | To derive the values of all the trigonometric ratios of 30° and 60°. |
| 5. | Trigonometric ratios of 0° | To derive the values of all the trigonometric ratios of 0°. |
| 6. | Trigonometric ratios of 90° | To derive the values of all the trigonometric ratios of 90°. |
| 7. | Trigonometric ratios of complementary angles | To learn the trigonometric ratios of complementary angles. |
| 8. | Method of using trigonometric table | To learn the method of using trigonometric table. |
| 9. | Mind map | Learn the mind map of the introduction of trigonometry. |
Textbook Questions
| Number | Name | Type | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Multiple choice questions I | Other | easy | 4 m. | Select the suitable choice for the given questions. |
| 2. | Multiple choice questions II | Other | easy | 3 m. | Select the correct answers for the given questions. |
| 3. | Multiple choice questions III | Other | easy | 3 m. | Select the suitable choice for the given questions. |
| 4. | Two mark example problems I | Other | easy | 6 m. | Try to find the trigonometric ratios. |
| 5. | Two mark example problems II | Other | easy | 8 m. | Practice the problem to find the values using trigonometric ratios. |
| 6. | Two mark example problems III | Other | easy | 6 m. | Practice a problem to express the given in terms of cos, cot and sec. |
| 7. | Two mark example problems IV | Other | easy | 8 m. | Try to find the values of the given using trigonometric ratios. |
| 8. | Two mark example problems V | Other | easy | 6 m. | Try to answer the given questions. |
| 9. | Two mark example problems VI | Other | easy | 8 m. | Try to answer the given questions. |
| 10. | Two mark example problems VII | Other | easy | 4 m. | Try to find the values of A and B. |
| 11. | Two mark exercise problems I | Other | easy | 12 m. | Try to answer the given questions. |
| 12. | Two mark exercise problems II | Other | medium | 6 m. | Check your understanding skills in the concept of trigonometric ratios. |
| 13. | Two mark exercise problems III | Other | medium | 6 m. | Try to answer the given questions. |
| 14. | Two mark exercise problems IV | Other | medium | 6 m. | Practice a problem to find the value of the trigonometric ratios. |
| 15. | Two mark exercise problems V | Other | medium | 6 m. | Try to find the values of the trigonometric ratios. |
| 16. | Two mark exercise problems VI | Other | medium | 6 m. | Check your understanding skills in the concept of finding the values of trigonometric ratios. |
| 17. | Two mark exercise problems VII | Other | medium | 6 m. | Try to answer the given questions. |
| 18. | Two mark exercise problems VIII | Other | medium | 6 m. | Try to determine the value of θ |
| 19. | Two mark exercise problems IX | Other | medium | 6 m. | Practice a problem to find the value of θ. |
| 20. | Two mark exercise problems X | Other | medium | 4 m. | Try to answer the given questions using trigonometric ratios. |
| 21. | Five mark example problems I | Other | medium | 5 m. | Practice a problem to determine the six trigonometric ratios. |
| 22. | Five mark example problems II | Other | medium | 5 m. | Practice a problem to find the trigonometric ratios. |
| 23. | Five mark example problems III | Other | medium | 5 m. | Try to prove the given statement. |
| 24. | Five mark example problems IV | Other | hard | 5 m. | Check your understanding skills in the concept of solving by the method of trigonometric table. |
| 25. | Five mark exercise problems I | Other | hard | 5 m. | Try to find the trigonometric ratios. |
| 26. | Five mark exercise problems II | Other | hard | 5 m. | Try to answer the given questions. |
| 27. | Five mark exercise problems III | Other | hard | 10 m. | Try to answer the given questions. |
| 28. | Five mark exercise problems IV | Other | hard | 10 m. | Try to answer the given questions. |
| 29. | Five mark exercise problems V | Other | hard | 10 m. | Try to answer the given questions. |
| 30. | Five mark exercise problems VI | Other | hard | 10 m. | Check your understanding skills in the concept of trigonometric ratios. |
| 31. | Five mark exercise problems VII | Other | hard | 10 m. | Check your understanding skills in the concept of method of finding the values using trigonometric tables. |
Practice Questions
| Number | Name | Type | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | The ratio of cos theta | Other | hard | 2.5 m. | To find the unknown side 'z' of the triangle and to compute the trigonometric ratios. |
| 2. | Compute the ratios | Other | easy | 3 m. | To compute the trigonometric ratios from the given data. |
| 3. | Find the ratios from the figure | Other | easy | 2 m. | To find the trigonomrtic values based on the given angles in the figure. |
| 4. | Evaluate the value | Other | easy | 2 m. | To evaluate the value of the given expression using the trigonometry ratio table. |
| 5. | Find the value of the given expression | Other | easy | 2 m. | To evaluate the value of the given expression using the trigonometry ratio table. |
| 6. | Find the complementary angle | Other | easy | 2 m. | To express the given angle in its complementary form. |
| 7. | Simplify the following | Other | easy | 2 m. | To simplify the given expression using its complementary form. |
| 8. | Find the angle 'A' | Other | easy | 2 m. | To find the unknown angle 'A' using the trigonometric ratio of complementary angle. |
| 9. | Find the value of tangent angle | Other | easy | 2 m. | To find the value of tangent angle using trigonometric table. |
| 10. | Find the value of cosine angle | Other | easy | 2 m. | To find the value of cosine angle using trigonometric table. |
| 11. | Find the given trigonometric ratio | Other | medium | 5 m. | To find the given trigonometric ratio from the graph described. |
| 12. | Find the value of the expression | Other | medium | 5 m. | To find the value of the given expression using the given ratio. |
| 13. | Find the value of sinθ | Other | medium | 5 m. | To compute the value of the trigonometric ratio sin𝜃. |
| 14. | Determine the six trigonometric ratios | Other | medium | 5 m. | To compute all the six trigonometric ratios from the given data. |
| 15. | Catch me! | Other | medium | 5 m. | Application problem based on the trigonometric ratio. |
| 16. | Find the length of the ladder | Other | medium | 5 m. | Application problem based on the trigonometric ratio. |
| 17. | Simplify the expression | Other | medium | 5 m. | To simplify the given expression using its complementary form. |
| 18. | Evaluate the given expression | Other | medium | 5 m. | To evaluate the value of the given expression using trigonometric ratio. |
| 19. | Simplify | Other | medium | 5 m. | To simplify the given expression using the trigonometric ratio table. |
| 20. | Find the tree's height | Other | medium | 5 m. | To find the height of the tree using trigonometric ratio. |
| 21. | Find the sum of the given angles | Other | medium | 5 m. | To find the sum of the given angles using trigonometric table. |
| 22. | Find the angle measure | Other | medium | 5 m. | To find the angle measure using trigonometric table. |
| 23. | Choose the correct answer | Other | hard | 5 m. | To find the unknown side 'z' of the triangle and to compute the trigonometric ratios. |
| 24. | Find the true relation | Other | hard | 5 m. | To find the relation that staisfies the trigonometric ratios. |
| 25. | Match the columns | Other | hard | 5 m. | To match the columns with the corresponding trigonometric ratios. |
| 26. | Find the trigonometric ratios | Other | hard | 5 m. | To compute all the trigonometric ratios from the given data. |
| 27. | Choose the best answer | Other | hard | 5 m. | To choose the correct trigonometric expression by simplifying the given expression. |
| 28. | Find the distance | Other | hard | 5 m. | Application problem based on the trigonometric ratio. |
| 29. | Find the area | Other | hard | 5 m. | To find the area of the right-angled triangle for the given acute angle measure using trigonometric table. |
| 30. | Find the angle made by the tower | Other | hard | 5 m. | To find the angle made by the tower using the trigonometric table. |
Key Questions for School Exam Preparation
| Number | Name | Type | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Find the value | Other | easy | 2 m. | Try to answer the given question. |
| 2. | Determine the value of θ | Other | medium | 2 m. | Practice a problem to find the value of θ. |
Questions for Teacher Use
| Number | Name | Type | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Construct and determine | Other | easy | 3 m. | To construct a right angled triangle using a circle and to determine its trigonometric ratios. |
| 2. | Find the value of sine angle | Other | easy | 5 m. | To find the value of sine angle using trigonometric table. |
| 3. | Prove the following | Other | medium | 5 m. | To prove the given expression using trigonometric ratio of complementary angle. |
| 4. | Find the difference | Other | medium | 5 m. | To evaluate the value of the given sum using trigonometric table. |
| 5. | Prove the equation | Other | hard | 5 m. | To prove the given equation using trigonometric ratio table. |
| 6. | Find the distance between the ships | Other | hard | 5 m. | Application problem based on the trigonometric ratio. |
| 7. | Trigonometric ratios | Other | easy | 1 m. | To find the trigonomrtic values based on the given angles in the figure. |
| 8. | Find values using trigonometry ratios: sinθ and cosθ | Other | hard | 1 m. | Try to answer the given questions. |
| 9. | Find values using trigonometric table | Other | medium | 1 m. | Check your understanding skills in the concept of trigonometric ratios. |
| 10. | Find values using trigonometric table: sinθ and cosθ | Other | medium | 1 m. | Try to answer the given questions. |
| 11. | Find the angle using trigonometric ratio | Other | easy | 1 m. | To find the unknown angle 'A' using the trigonometric ratio of complementary angle. |
| 12. | Trigonometric ratios for complementary angles: cosecθ | Other | easy | 2 m. | Practice a problem to express the given in terms of cos, cot and sec. |
| 13. | Trigonometric ratios for complementary angles: tanθ | Other | easy | 1 m. | Try to find the values of the given using trigonometric ratios. |
| 14. | Values of trigonometric angle | Other | medium | 1 m. | Try to answer the given questions. |
| 15. | Evaluate the trigonometric expression | Other | easy | 2 m. | To evaluate the value of the given expression using the trigonometry ratio table. |
| 16. | Using sin table find the angle | Other | medium | 2 m. | Try to determine the value of θ |
| 17. | Determine the angle using cosine table | Other | medium | 1 m. | Check your understanding skills in the concept of finding the values of trigonometric ratios. |
| 18. | Find the angle using trigonometric value for cosine | Other | medium | 1 m. | Practice a problem to find the value of θ. |
| 19. | Find the trigonometric ratios | Other | hard | 1 m. | To compute all the trigonometric ratios from the given data. |
| 20. | Find the value using reciprocal ratios | Other | medium | 1 m. | Try to prove the given statement. |
| 21. | Simplify using trigonometric ratios for complementary angles | Other | easy | 1 m. | Try to find the values of the given using trigonometric ratios. |
| 22. | Solve using trigonometric ratios:sin θ and cos θ | Other | easy | 1 m. | Practice the problem to find the values using trigonometric ratios. |
| 23. | The ratio of cos theta | Other | hard | 2.5 m. | To find the unknown side 'z' of the triangle and to compute the trigonometric ratios. |
| 24. | The value of theta | Other | easy | 1 m. | Select the correct answers for the given questions. |
| 25. | Trigonometric ratios for complementary angles | Other | medium | 1 m. | Try to find the values of the trigonometric ratios. |
Periodic assessments
| Number | Name | Recomended time: | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Homework I | 00:15:00 | easy | 10 m. | |
| 2. | Homework II | 00:15:00 | easy | 10 m. | |
| 3. | Homework III | 00:20:00 | easy | 16 m. | |
| 4. | Homework IV | 00:25:00 | easy | 18 m. | |
| 5. | Homework V | 00:35:00 | medium | 20 m. | |
| 6. | Homework VI | 00:35:00 | medium | 20 m. | |
| 7. | Homework VII | 00:35:00 | medium | 20 m. | |
| 8. | Homework VIII | 00:35:00 | medium | 20 m. | |
| 9. | Revision test I | 00:35:00 | medium | 20 m. | |
| 10. | Revision test II | 00:35:00 | medium | 20 m. | |
| 11. | Revision test III | 00:35:00 | medium | 20 m. | |
| 12. | Revision test IV | 00:35:00 | hard | 23 m. | |
| 13. | Revision test V | 00:35:00 | hard | 24 m. | |
| 14. | Revision test VI | 00:35:00 | hard | 24 m. | |
| 15. | Revision test VII | 00:35:00 | hard | 24 m. | |
| 16. | Revision test VIII | 00:40:00 | hard | 30 m. | |
| 17. | Revision test IX | 00:40:00 | hard | 32 m. | |
| 18. | Periodic Assessment | 00:10:00 | medium | 18 m. | PA 2 |
| 19. | Bridge Course Demo 2 | 00:10:00 | medium | 2 m. | |
| 20. | Periodic Assessment - Extended version | 00:10:00 | medium | 18.5 m. | PA 2 |
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