UPSKILL MATH PLUS
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Theory
| Number | Name | Description |
|---|---|---|
| 1. | Section formula | Let us get introduced to section formula. |
| 2. | Section formula using graphical representation | Let us know how section formula is formed through graphical representation. |
| 3. | Some example problem based on section formula | Learn how to use section formula for a line segment. |
Practice Questions
| Number | Name | Type | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Find the coordinate 'P' | 2nd type - interpretation | easy | 3 m. | Use section formula to find the point that divides the line segment. |
| 2. | Determine the ratio of the line segment | 2nd type - interpretation | easy | 3 m. | Practice problem to find the ratio of the line segment. |
| 3. | Find the point bisects the line segment | 2nd type - interpretation | easy | 3 m. | Practice problem to find the point that bisects the line segment. |
| 4. | Find the location of the point | 2nd type - interpretation | easy | 3 m. | In this exercise, find the location of point using section formula. |
| 5. | Find the ratio | 2nd type - interpretation | easy | 3 m. | Find the ratio with which the line segment is internally divided. |
| 6. | Find the points of trisection of the line segment | 2nd type - interpretation | medium | 4 m. | In this exercise, find the points of trisection of the line segment. |
| 7. | Find the fourth vertex of a parallelogram | 3rd type - analysis | medium | 4 m. | Find the fourth vertex of a parallelogram by using section formula. |
| 8. | Find the point 'A' and radius of the circle | 3rd type - analysis | medium | 4 m. | Work on the problem to find the point 'A' and radius of the circle. |
| 9. | Find the coordinates of 'P' and "Q' | 3rd type - analysis | medium | 4 m. | Use section formula to find the coordinates of 'P' and "Q'. |
| 10. | Find the ratio and the point of division | 2nd type - interpretation | medium | 4 m. | In this exercise, find the ratio and the point of division of the line segment. |
| 11. | Calculate the value of 'P' | 2nd type - interpretation | medium | 4 m. | Find the end point of the line segment using the fraction given. |
| 12. | Find the length of the median of the triangle | 3rd type - analysis | medium | 4 m. | Work on the problem to find the length of the median of the triangle. |
| 13. | Obtain the value of 'b' for the collinear points | 3rd type - analysis | medium | 4 m. | Practice problem to find the value of 'b' if the points are collinear. |
| 14. | Choose the correct statement: Section formula | 3rd type - analysis | medium | 4 m. | In this exercise, select the correct statement for the given assertion and reason. |
| 15. | Find the point by its extension | 2nd type - interpretation | medium | 4 m. | Use section formula to find the extended end point of the line segment. |
| 16. | Determine the value of the given variables | 3rd type - analysis | hard | 5 m. | In this exercise, determine the value of the unknown variables by using section formula. |
| 17. | Find the number of pots made | 3rd type - analysis | hard | 5 m. | Use section formula to find the number of pots made. |
| 18. | Find the value of the variables and area of the rectangle | 3rd type - analysis | hard | 6 m. | Work on the problem to find the value of the variables and area of the rectangle. |
| 19. | Case study: Section formula | 3rd type - analysis | hard | 5 m. | Understand the situation and answer the given questions. |
| 20. | Determine the ratio and the missing coordinate | 3rd type - analysis | hard | 5 m. | Work on the problem to find the ratio and the missing coordinate of the point of division. |
Questions for Teacher Use
| Number | Name | Type | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Find the coordinates of point of division | Other | easy | 3 m. | In this exercise, find the coordinates of point of that divides the line segment. |
| 2. | Find the co-ordinates of 'B' | Other | medium | 4 m. | Use section formula to find the end point of the line segment. |
| 3. | Find the ratio of the line segment divided by y-axis | Other | medium | 4 m. | Work on the problem to find the ratio of the line segment divided by y-axis. |
| 4. | Find the mid point of the side of the triangle | Other | medium | 4 m. | In this exercise, find the mid point of the side of the triangle using section formula. |
| 5. | Show the statement analytically | Other | medium | 4 m. | In this exercise, show the statement analytically and upload your work. |
| 6. | Prove the statement using section formula | Other | hard | 5 m. | In this exercise, prove the given statement and upload your work. |
| 7. | Find the number of sculptures made | Other | hard | 5 m. | Using section formula, find the number of sculptures made. |
| 8. | Evaluate the centroid of the triangle | Other | hard | 6 m. | Find the centroid of the triangle with the mid-point of the sides given. |
Tests
| Number | Name | Recomended time: | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Training test I | 00:15:00 | medium | 10 m. | |
| 2. | Training test II | 00:15:00 | medium | 10 m. | |
| 3. | Training test III | 00:15:00 | medium | 11 m. |
Periodic assessments
| Number | Name | Recomended time: | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Homework I | 00:20:00 | medium | 12 m. | |
| 2. | Homework II | 00:25:00 | medium | 13 m. | |
| 3. | Homework III | 00:25:00 | hard | 19 m. | |
| 4. | Progress test I | 00:25:00 | medium | 13 m. | |
| 5. | Progress test II | 00:25:00 | medium | 14 m. | |
| 6. | Progress test III | 00:25:00 | hard | 14 m. |
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