UPSKILL MATH PLUS
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Theory
| Number | Name | Description |
|---|---|---|
| 1. | Distance formula | Recall the concept of distance formula. |
| 2. | Mid-point of a line segment | Let us learn the mid-point formula through its derivation. |
| 3. | Mid-point formula using similarity theorem | Let us learn the mid-point formula through graphical representation. |
| 4. | Problems using mid-point formula | Let us look at a few example problems using the mid-point formula. |
| 5. | Points of trisection of a line segment | Let us learn the formulae to find the points of trisection. |
Textbook Questions
| Number | Name | Type | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Multiple choice question I | Other | easy | 2 m. | Choose the correct answer using midpoint and trisection formula. |
| 2. | Two marks example problems I | Other | medium | 4 m. | In this exercise, apply the mid-point formula to find the answer. |
| 3. | Two marks exercise problems I | Other | medium | 4 m. | In this exercise, apply the mid-point formula to find the midpoint of the line segment. |
| 4. | Two marks exercise problems II | Other | medium | 4 m. | In this exercise, apply the mid-point formula to find the midpoint of the line segment. |
| 5. | Two marks exercise problems III | Other | medium | 4 m. | In this exercise, apply the mid-point formula to find the answers. |
| 6. | Five marks example problems II | Other | hard | 5 m. | In this exercise, apply the mid-point formula to find the answers. |
| 7. | Five marks example problems III | Other | hard | 5 m. | In this exercise, apply the mid-point formula to find the answers. |
| 8. | Five marks example problems IV | Other | hard | 5 m. | In this exercise, apply the trisection formula to find the answers. |
| 9. | Five marks exercise problems III | Other | hard | 5 m. | In this exercise, apply the mid-point formula to find the answers. |
| 10. | Five marks exercise problems IV | Other | hard | 10 m. | In this exercise, apply the mid-point formula to find the answers. |
| 11. | Five marks exercise problems V | Other | hard | 5 m. | In this exercise, apply the mid-point formula to find the answers. |
| 12. | Five marks exercise problems VI | Other | hard | 5 m. | In this exercise, apply the mid-point formula to find the answers. |
| 13. | Five marks exercise problems VII | Other | hard | 5 m. | In this exercise, apply the trisection formula to find the answers. |
Practice Questions
| Number | Name | Type | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | The quadrant is... | Other | easy | 1 m. | Choose the quadrant based on the points given. |
| 2. | Distance between two points | Other | easy | 2 m. | Find the distance between the end points of a line segment parallel to either of the axes. |
| 3. | Find the distance | Other | easy | 1 m. | Find the distance between two end points of a line segment not parallel to any of the axes. |
| 4. | Calculate the mid-point | Other | medium | 1 m. | Find the mid-point of the points given. |
| 5. | Find 'a' and 'b' | Other | medium | 3 m. | Find the values of the unknown using the mid-point formula. |
| 6. | Find the component of a circle | Other | medium | 3 m. | Find the unknown component of the circle. |
| 7. | Find the value of the variable | Other | medium | 4 m. | Find the co-ordinate of a point passing through the line segment of the given equation. |
| 8. | Check whether the points forms a parallelogram | Other | medium | 5 m. | Prove that the given vertices form a parallelogram. |
| 9. | Find the values of 'r' and 's' | Other | medium | 2 m. | Find the unknown vertices of a parallelogram. |
| 10. | Find the meeting point | Other | medium | 3 m. | Find the meeting point of the perpendicular from the centre to the chord. |
| 11. | 4 equal parts of a line segment | Other | medium | 3 m. | Divide the line segment given into 4 equal line segments. |
| 12. | Find the unknown | Other | medium | 3 m. | Find the unknown point of a line segment. |
| 13. | Find the points of trisection | Other | medium | 4 m. | Find the points that trisect the liine segment given. |
| 14. | Find the vertices of the triangle | Other | hard | 6 m. | Find the vertices of a triangle using the mid-points given. |
| 15. | Find the answer to the situation | Other | hard | 6 m. | Read the situations given and find the appropriate answer. |
Key Questions for School Exam Preparation
| Number | Name | Type | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Obtain the points of trisection | Other | medium | 5 m. | In this exercise, apply the trisection formula to find the answers. |
| 2. | Show that the quadrilateral is a parallelogram. | Other | hard | 5 m. | In this exercise, using the mid-point formula to show that the quadrilateral is a parallelogram. |
| 3. | Find the vertices of a triangle | Other | hard | 5 m. | In this exercise, using mid-point formula find the vertices of a triangle. |
Questions for Teacher Use
| Number | Name | Type | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Say true or false | Other | easy | 1 m. | Read the statement and say whether it is true or false. |
| 2. | Predict the given forms a parallelogram or not | Other | medium | 4 m. | Use mid-point formula, prove that the vertices given form a parallelogram. |
| 3. | Compute the points of trisection | Other | medium | 4 m. | Find the points of trisection of a line segment using the end points given. |
| 4. | Test whether the quadrilateral forms a parallelogram | Other | hard | 6 m. | Using the details given, prove that the quadrilateral formed is a parallelogram. |
| 5. | Calculate the mid-point | Other | medium | 1 m. | Find the mid-point of the points given. |
| 6. | Compute the points of trisection | Other | medium | 1 m. | Find the points of trisection of a line segment using the end points given. |
| 7. | Mid-point of a line segment | Other | medium | 1 m. | In this exercise, apply the mid-point formula to find the answers. |
| 8. | Mid-point of the line segment | Other | easy | 1 m. | Choose the correct answer using midpoint and trisection formula. |
| 9. | Find the mid-point | Other | medium | 1 m. | In this exercise, apply the mid-point formula to find the midpoint of the line segment. |
| 10. | Find the co-ordinates | Other | medium | 1 m. | In this exercise, apply the mid-point formula to find the answer. |
| 11. | Mid point of the line | Other | medium | 1 m. | In this exercise, apply the mid-point formula to find the answers. |
| 12. | Vertices of a parallelogram | Other | medium | 1 m. | In this exercise, apply the mid-point formula to find the answer. |
Periodic assessments
| Number | Name | Recomended time: | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Homework I | 00:20:00 | medium | 12 m. | |
| 2. | Homework II | 00:20:00 | medium | 10 m. | |
| 3. | Homework III | 00:20:00 | medium | 9 m. | |
| 4. | Homework IV | 00:20:00 | medium | 12 m. | |
| 5. | Homework V | 00:20:00 | hard | 12 m. | |
| 6. | Homework VI | 00:20:00 | medium | 9 m. | |
| 7. | Revision test I | 00:20:00 | medium | 15 m. | |
| 8. | Revision test II | 00:20:00 | medium | 13 m. | |
| 9. | Revision test III | 00:20:00 | medium | 13 m. | |
| 10. | Revision test IV | 00:20:00 | medium | 14 m. | |
| 11. | Revision test V | 00:20:00 | medium | 11 m. | |
| 12. | Revision test VI | 00:20:00 | medium | 14 m. | |
| 13. | Periodic Assessment -1 | 00:10:00 | medium | 3 m. | PA 1 |
| 14. | Periodic Assessment -2 | 00:10:00 | medium | 2 m. | PA 2 |
| 15. | Bridge Course Demo 2 | 00:10:00 | medium | 2 m. | |
| 16. | Periodic Assessment - Extended version | 00:10:00 | medium | 6 m. | PA 2 |
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