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