UPSKILL MATH PLUS
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Theory
| Number | Name | Description |
|---|---|---|
| 1. | Introduction to 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. | Introduction to centroid | Let us get introduced to centroid formula. |
Textbook Questions
| Number | Name | Type | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Multiple choice question I | Other | easy | 2 m. | Choose the correct answers using section formula. |
| 2. | Multiple choice question II | Other | easy | 2 m. | Choose the correct answer using section formula. |
| 3. | Multiple choice question III | Other | easy | 1 m. | Choose the correct answer using section formula. |
| 4. | Two marks example problems I | Other | medium | 2 m. | Determine the coordinates of the point which divides the line segment. |
| 5. | Two marks example problems II | Other | medium | 2 m. | Find the third vertex of the triangle using centroid formula. |
| 6. | Two marks exercise problems I | Other | medium | 4 m. | Find the point which divides the line segment and the ratio of the divided point. |
| 7. | Two marks exercise problems II | Other | medium | 2 m. | Determine the coordinates of the point P which divides the line segment. |
| 8. | Two marks exercise problems III | Other | medium | 4 m. | Find the centroid of the triangle using centroid formula. |
| 9. | Two marks exercise problems IV | Other | medium | 2 m. | Determine the centroid of the triangle using centroid formula. |
| 10. | Two marks exercise problems V | Other | medium | 4 m. | Find the length of the median and the third vertex of the triangle using centroid formula. |
| 11. | Two marks exercise problems VI | Other | medium | 2 m. | Find the value of the expression using centroid formula. |
| 12. | Five marks example problems III | Other | hard | 10 m. | Determine the coordinates of the point which divides the line segment and the ratio of point of division. |
| 13. | Five marks exercise problems VII | Other | hard | 5 m. | Obtain the coordinates of the new points which divides the line segment using section formula. |
| 14. | Five marks exercise problems VIII | Other | hard | 0 m. | Show the given points are collinear using section formula. |
| 15. | Five marks exercise problems IX | Other | hard | 5 m. | Find the missing coordinates of the point using section formula. |
| 16. | Five marks exercise problems X | Other | hard | 5 m. | Find the radius of the circle using section formula. |
| 17. | Five marks exercise porblems XI | Other | hard | 5 m. | Find the coordinates of the vertex of the parallelogram using centroid formula. |
| 18. | Five marks exercise problems XII | Other | hard | 5 m. | Obtain the centroid of the triangle when mid-points are given. |
Practice Questions
| Number | Name | Type | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Find the coordinate 'P' | Other | easy | 1 m. | Use section formula to find the point that divides the line segment. |
| 2. | Find the centroid | Other | easy | 2 m. | Find the centroid of the circle using the given vertices. |
| 3. | Find the co-ordinates of 'B' | Other | medium | 4 m. | Use section formula to find the end point of the line segment. |
| 4. | Find the point by its extension | Other | medium | 5 m. | Use section formula to find the extended end point of the line segment. |
| 5. | Find the ratio | Other | medium | 3 m. | Find the ratio with which the line segment is internally divided. |
| 6. | Calculate the value of 'P' | Other | medium | 4 m. | Find the end point of the line segment using the fraction given. |
| 7. | Find the value of 'k' | Other | medium | 3 m. | Use centroid formula to find the unknown variable. |
| 8. | Find the vertex of 'C' | Other | medium | 4 m. | Use centroid formula to find the unknown vertex. |
| 9. | Evaluate the centroid of the triangle | Other | hard | 6 m. | Find the centroid of the triangle with the mid-point of the sides given. |
| 10. | Find the number of pots made | Other | hard | 6 m. | Use section formula to find the number of pots made. |
Key Questions for School Exam Preparation
| Number | Name | Type | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Determine the ratio of the divided point | Other | hard | 5 m. | Determine the coordinates of the point which divides the line segment and the ratio of point of division. |
| 2. | Find the coordinates of the new end points | Other | hard | 5 m. | Obtain the coordinates of the new points which divides the line segment using section formula. |
| 3. | Determine the radius of the circle | Other | hard | 5 m. | Find the radius of the circle using section formula. |
| 4. | Find the coordinates of the point C | Other | hard | 5 m. | Find the missing coordinates of the point using section formula. |
Questions for Teacher Use
| Number | Name | Type | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Find the point of intersection of the medians | Other | easy | 2 m. | Find the point of intersection of the triange using the vertices given. |
| 2. | Centroid formula derivation | Other | medium | 4 m. | Give the derivation of the centroid formula. |
| 3. | Find the number of sculptures made | Other | hard | 6 m. | Using section formula, find the number of sculptures made. |
| 4. | Answer the following | Other | hard | 10 m. | Using a triangle with the vertices of your choice, come up with the answers to the questions asked. |
| 5. | Section formula | Other | medium | 1 m. | Determine the coordinates of the point which divides the line segment. |
| 6. | Centroid of a triangle | Other | medium | 1 m. | Find the third vertex of the triangle using centroid formula. |
| 7. | Line segment in the ratio | Other | medium | 1 m. | Find the point which divides the line segment and the ratio of the divided point. |
| 8. | Vertices and centroid of a triangle | Other | medium | 1 m. | Find the centroid of the triangle using centroid formula. |
| 9. | Divided point | Other | medium | 1 m. | Find the point which divides the line segment and the ratio of the divided point. |
| 10. | Find the centroid | Other | easy | 1 m. | Find the centroid of the circle using the given vertices. |
| 11. | Vertex of the triangle | Other | medium | 1 m. | Find the third vertex of the triangle using centroid formula. |
| 12. | Find divided point | Other | medium | 1 m. | Determine the coordinates of the point which divides the line segment. |
| 13. | Find the unknown value using centroid formula | Other | medium | 1 m. | Use centroid formula to find the unknown variable. |
| 14. | Length of the median | Other | medium | 1 m. | Find the length of the median and the third vertex of the triangle using centroid formula. |
Periodic assessments
| Number | Name | Recomended time: | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Homework I | 00:15:00 | medium | 9 m. | |
| 2. | Homework II | 00:15:00 | medium | 8 m. | |
| 3. | Homework III | 00:15:00 | medium | 11 m. | |
| 4. | Homework IV | 00:20:00 | medium | 24 m. | |
| 5. | Homework V | 00:15:00 | medium | 10 m. | |
| 6. | Homework VI | 00:15:00 | medium | 11 m. | |
| 7. | Revision test I | 00:15:00 | medium | 17 m. | |
| 8. | Revision test II | 00:15:00 | medium | 13 m. | |
| 9. | Revision test III | 00:15:00 | medium | 14 m. | |
| 10. | Revision test IV | 00:15:00 | medium | 12 m. | |
| 11. | Revision test V | 00:15:00 | medium | 14 m. | |
| 12. | Revision test VI | 00:15:00 | medium | 12 m. | |
| 13. | Periodic Assessment -1 | 00:10:00 | medium | 8 m. | PA 1 |
| 14. | Periodic Assessment -2 | 00:10:00 | medium | 6 m. | PA 2 |
| 15. | Bridge Course Demo 2 | 00:10:00 | medium | 2 m. | |
| 16. | Periodic Assessment - Extended version | 00:10:00 | medium | 4 m. | PA 2 |
| 17. | Periodic Assessment 2.0 | 00:10:00 | medium | 10 m. | PA 2 |
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