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