UPSKILL MATH PLUS
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Theory
| Number | Name | Description |
|---|---|---|
| 1. | Concept of similar | Learn the concept of similar with some examples. |
| 2. | Similar triangle and its types | Learn about similar triangles with its types. |
| 3. | Concept of congruence | Learn the concept of similar with some examples. |
| 4. | Congruent triangles and its types | Learn about congruence of a triangle with its types. |
| 5. | Construction of a quadrilateral when the length of the 4 sides and the diagonal are given | Learn how to construct a quadrilateral when the length of 4 sides and the diagonal are given. |
| 6. | Construction of a quadrilateral when two diagonals and three sides are given | Learn how to construct a quadrilateral when there are two diagonals and three sides. |
| 7. | Construct a quadrilateral when two adjacent sides and three angles are given | Learn to construct quadrilateral when two adjacent sides are provided with three angles. |
| 8. | Construct a quadrilateral when three sides and two included angles are given | Learn to construct a quadrilateral if three sides and two angles are included. |
Textbook Questions
| Number | Name | Type | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | One mark exercise problems I | Other | easy | 3 m. | Select the suitable choice for the given question. |
| 2. | One mark exercise problems II | Other | easy | 2 m. | Select the correct choice for the given questions. |
| 3. | One mark exercise problems III | Other | easy | 5 m. | Try to select the suitable choice for the given questions. |
| 4. | Two mark exercise problems | Other | easy | 4 m. | Practice a problem to verify the given statement. |
| 5. | Four mark example problems I | Other | medium | 4 m. | Try to find the unknown values in the triangle. |
| 6. | Four mark example problems II | Other | medium | 4 m. | Try to find the unknown values in the triangle. |
| 7. | Four mark example problems III | Other | medium | 4 m. | Try to find the unknown values in the triangle. |
| 8. | Four mark example problems IV | Other | medium | 4 m. | Try to prove the given statements. |
| 9. | Four mark example problems V | Other | medium | 0 m. | Try to prove the given statement. |
| 10. | Four mark example problems VI | Other | medium | 4 m. | Check your understanding skills in the concept of similar triangles. |
| 11. | Four mark example problems VII | Other | medium | 0 m. | Try to prove the given statement. |
| 12. | Four mark example problems VIII | Other | medium | 4 m. | Check your understanding skills in the concept of similar triangles. |
| 13. | Four mark example problems IX | Other | medium | 4 m. | Try to prove the given statements. |
| 14. | Four mark example problems X | Other | medium | 4 m. | Practice the problem to prove the given statement. |
| 15. | Four mark example problems XI | Other | medium | 0 m. | Check your understanding skills in the concept of similar triangles. |
| 16. | Four mark example problems XII | Other | medium | 4 m. | Practice the problem to find the height of the tree by applying the concept of similarity of triangles. |
| 17. | Four mark exercise problems I | Other | medium | 0 m. | Practice the problem to prove the given statement. |
| 18. | Four mark exercise problems II | Other | medium | 0 m. | Check your understanding skills in the concept of congruency. |
| 19. | Four mark exercise problems III | Other | medium | 0 m. | Check your understanding skills in the concept of congruency. |
| 20. | Four mark exercise problems IV | Other | medium | 4 m. | Try to prove the given statement. |
| 21. | Four mark exercise problems V | Other | medium | 0 m. | Check your understanding skills in the concept of similarity of triangles. |
| 22. | Four mark exercise problems VI | Other | medium | 4 m. | Check your understanding skills in the concept of similarity of triangles. |
| 23. | Four mark exercise problems VII | Other | hard | 4 m. | Practice the problem to find the measures of all the angles. |
| 24. | Four mark exercise problems VIII | Other | hard | 4 m. | Try to prove the given statement. |
| 25. | Four mark exercise problems IX | Other | hard | 0 m. | Try to answer the given question. |
| 26. | Four mark exercise problems X | Other | hard | 4 m. | Try to answer the given question. |
| 27. | Five mark example problems I | Other | hard | 0 m. | Try to draw the quadrilateral with given sides. |
| 28. | Five mark example problems II | Other | hard | 0 m. | Try to draw the quadrilateral with given sides. |
| 29. | Five mark example problems III | Other | hard | 0 m. | Practice a problem to draw the quadrilateral when its 4 sides and one angle are given. |
| 30. | Five mark example problems IV | Other | hard | 0 m. | Practice a problem to draw the quadrilateral when its 3 sides and 2 angles are given. |
| 31. | Five mark example problems V | Other | hard | 0 m. | Practice a problem to draw the quadrilateral when its 2 sides and 3 angles are given. |
| 32. | Five mark exercise problems I | Other | hard | 0 m. | Try to draw the quadrilateral with given sides. |
| 33. | Five mark exercise problems II | Other | hard | 0 m. | Try to draw the quadrilateral with given sides. |
| 34. | Five mark exercise problems III | Other | hard | 0 m. | Practice a problem to draw the quadrilateral when its 4 sides and one angle are given. |
| 35. | Five mark exercise problems IV | Other | hard | 0 m. | Practice a problem to draw the quadrilateral when its 3 sides and 2 angles are given. |
| 36. | Five mark exercise problems V | Other | hard | 0 m. | Practice a problem to draw the quadrilateral when its 2 sides and 3 angles are given. |
Practice Questions
| Number | Name | Type | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Find the value of 'x' | Other | easy | 1 m. | Practice to find the unknown 'x' from the given similar triangle. |
| 2. | Determine side of the triangle | Other | easy | 1 m. | It is required to find the side length of the similar triangle. |
| 3. | Determine the required side length/angle measure | Other | medium | 1 m. | Practice to find the required side length and measure of angle for the given congruent figures. |
| 4. | Determine the height of a tree | Other | medium | 4 m. | Practice to find the height of a tree. |
| 5. | Pick the correct congruence relation from the list | Other | medium | 4 m. | Choose the correct congruence relation from the list of choices by applying SAS congruence. |
| 6. | Solve and find the unknown values | Other | hard | 4 m. | Calculate the value of 'x' and 'y' by applying the ASA congruence for the provided triangle. |
| 7. | State the parts of corresponding sides and examine the congruency | Other | hard | 5 m. | Find out the equal parts of corresponding congruent triangle and examine the provided congruence relation is meaningful. |
| 8. | Evaluate the correspondence of triangle | Other | hard | 4 m. | Select the correspondence of triangle with the help of its side lengths by applying the concept of SSS congruence. |
Key Questions for School Exam Preparation
| Number | Name | Type | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Choose the correct answer | Other | easy | 1 m. | Select the suitable choice for the given question. |
| 2. | Prove the following | Other | medium | 2 m. | Practice a problem to verify the given statement. |
| 3. | Prove the statement and find the value | Other | hard | 4 m. | Check your understanding skills in the concept of similar triangles. |
| 4. | Draw the quadrilateral | Other | hard | 0 m. | Practice a problem to draw the quadrilateral when its 3 sides and 2 angles are given. |
| 5. | Draw the quadrilateral | Other | hard | 0 m. | Try to draw the quadrilateral with given sides. |
Questions for Teacher Use
| Number | Name | Type | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Classify the similary rule and conclude the result | Other | easy | 1 m. | It is required to find out what rule explains the congruence of given triangles. |
| 2. | Demonstrate congruence | Other | medium | 5 m. | Work on congruence concept with the help of real life examples. |
| 3. | Draw the congruent triangle and find the corresponding vertices and sides | Other | medium | 5 m. | Complete the congruent triangle with the help of picture given and hence determine its corresponding vertices and sides. |
| 4. | Construct a quadrilateral when the length of the 4 sides and the diagonal are given | Other | medium | 5 m. | It is required to demonstrate the quadrilateral when the length of the four sides and the diagonal are given. |
| 5. | Construct a quadrilateral when two diagonals and three sides are given | Other | medium | 5 m. | It is required to demonstrate a quadrilateral when two diagonals and three sides are given. |
| 6. | Construct a quadrilateral when two adjacent sides and three angles are given | Other | medium | 5 m. | It is required to demonstrate a quadrilateral when two adjacent sides and three angles are provided. |
| 7. | Construct a quadrilateral when three sides and two included angles | Other | medium | 5 m. | It is required to demonstrate a quadrilateral if its three sides and two included angles are provided. |
| 8. | Congruence relation | Other | medium | 2 m. | Choose the correct congruence relation from the list of choices by applying SAS congruence. |
| 9. | Similar triangles | Other | medium | 2 m. | Practice the problem to find the height of the tree by applying the concept of similarity of triangles. |
Periodic assessments
| Number | Name | Recomended time: | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Homework I | 00:10:00 | easy | 5 m. | |
| 2. | Homework II | 00:10:00 | easy | 6 m. | |
| 3. | Homework III | 00:15:00 | easy | 8 m. | |
| 4. | Homework IV | 00:20:00 | easy | 8 m. | |
| 5. | Homework V | 00:20:00 | medium | 8 m. | |
| 6. | Homework VI | 00:20:00 | medium | 8 m. | |
| 7. | Homework VII | 00:20:00 | medium | 8 m. | |
| 8. | Revision test I | 00:25:00 | medium | 8 m. | |
| 9. | Revision test II | 00:35:00 | medium | 8 m. | |
| 10. | Revision test III | 00:35:00 | medium | 8 m. | |
| 11. | Revision test IV | 00:35:00 | hard | 9 m. | |
| 12. | Revision test V | 00:35:00 | hard | 13 m. | |
| 13. | Revision test VI | 00:35:00 | hard | 15 m. | |
| 14. | Revision test VII | 00:35:00 | hard | 20 m. | |
| 15. | Periodic assessment | 00:10:00 | medium | 4 m. | PA 1 - Similar, Congruent Triangles and Construction of Quadrilaterals |
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