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Methodical recommendation:
Theory
Number | Name | Description |
---|---|---|
Number 1. | Name Pythagoras theorem | Description To know the Pythagorean theorem and its proof based on the similarity of triangles. |
Number 2. | Name Converse of the Pythagoras ttheorem | Description To learn and understand the converse of the Pythagorean theorem. |
Textbook Questions
Number | Name | Type | Difficulty | Marks | Description |
---|---|---|---|---|---|
Number 1. | Name Multiple choice question I | Type Other | Difficulty easy | Marks 1 m. | Description In this exercise, choose the correct answers using Pythagoras theorem. |
Number 2. | Name Multiple choice question II | Type Other | Difficulty easy | Marks 1 m. | Description In this exercise, choose the correct answers using Pythagoras theorem. |
Number 3. | Name Multiple choice question III | Type Other | Difficulty easy | Marks 1 m. | Description In this exercise, choose the correct answers using Pythagoras theorem. |
Number 4. | Name Multiple choice question IV | Type Other | Difficulty easy | Marks 1 m. | Description In this exercise, choose the correct answers using Pythagoras theorem. |
Number 5. | Name Two mark example problem | Type Other | Difficulty medium | Marks 2 m. | Description Try to fill the blanks using Pythagoras theorem. |
Number 6. | Name Two mark exercise problem | Type Other | Difficulty medium | Marks 2 m. | Description Try to fill the blanks using Pythagoras theorem. |
Number 7. | Name Five mark example problem I | Type Other | Difficulty medium | Marks 5 m. | Description Answer the questions using Pythagors theorem. |
Number 8. | Name Five mark example problem II | Type Other | Difficulty medium | Marks 5 m. | Description Answer the questions using Pythagors theorem. |
Number 9. | Name Five mark example problem III | Type Other | Difficulty medium | Marks 5 m. | Description To prove the given equation using Pythagoras Theorem. |
Number 10. | Name Five mark exercise problem I | Type Other | Difficulty medium | Marks 5 m. | Description Try to fill the blanks using Pythagoras theorem. |
Number 11. | Name Five mark exercise problem II | Type Other | Difficulty medium | Marks 5 m. | Description Try to fill the blanks using Pythagoras theorem. |
Number 12. | Name Five mark exercise problem III | Type Other | Difficulty hard | Marks 5 m. | Description Answer the questions using Pythagors theorem. |
Number 13. | Name Five mark exercise problems IV | Type Other | Difficulty hard | Marks 5 m. | Description Answer the questions using Pythagors theorem. |
Number 14. | Name Five mark exercise problem V | Type Other | Difficulty hard | Marks 5 m. | Description Answer the questions using Pythagors theorem. |
Number 15. | Name Five mark exercise problem VI | Type Other | Difficulty hard | Marks 5 m. | Description Answer the questions using Pythagors theorem. |
Number 16. | Name Five mark exercise problem VII | Type Other | Difficulty medium | Marks 5 m. | Description To prove the given equation using Pythagoras Theorem. |
Number 17. | Name Five mark exercise problems VIII | Type Other | Difficulty medium | Marks 5 m. | Description To prove the given equation using Pythagoras Theorem. |
Number 18. | Name Five mark exercise problem IX | Type Other | Difficulty hard | Marks 5 m. | Description To prove the given equation using Pythagoras Theorem. |
Practice Questions
Number | Name | Type | Difficulty | Marks | Description |
---|---|---|---|---|---|
Number 1. | Name Find the third side | Type Other | Difficulty easy | Marks 2 m. | Description To find the missing side of the right angled triangle using the Pythagoras theorem. |
Number 2. | Name Find the measure of the hypotenuse | Type Other | Difficulty easy | Marks 2 m. | Description To find the measure of the hypotenuse using the Pythagoras theorem. |
Number 3. | Name Find the distance to the house | Type Other | Difficulty easy | Marks 3 m. | Description Application problem based on the Pythagoras theorem. |
Number 4. | Name Find the radius of the circle | Type Other | Difficulty medium | Marks 3 m. | Description To find the radius of the circle using the Pythagoras theorem. |
Number 5. | Name Find the distance between the boats | Type Other | Difficulty medium | Marks 3 m. | Description To find the measure of the hypotenuse using the Pythagoras theorem. |
Number 6. | Name Determine the dimensions of a rectangle | Type Other | Difficulty medium | Marks 3 m. | Description To check whether the given dimensions are length, breadth and diogonal of a rectangle. |
Number 7. | Name Determine the third angle of the triangle | Type Other | Difficulty medium | Marks 3 m. | Description To find the third angle and check whether the given dimensions form a right angled triangle using the converse of Pythagoras theorem. |
Number 8. | Name How far is the man from the tower? | Type Other | Difficulty hard | Marks 4 m. | Description Application problem based on the converse of Pythagoras theorem. |
Number 9. | Name Find the height of the ladder and answer the question | Type Other | Difficulty hard | Marks 5 m. | Description Application problem to understand Pythagoras theorem better. |
Number 10. | Name Find the area of the triangle | Type Other | Difficulty hard | Marks 4 m. | Description To evaluate the dimensions of the given triangle using Pythagoras theorem and to find its area. |
Number 11. | Name Calculate the distance between the two cars | Type Other | Difficulty hard | Marks 4 m. | Description To calculate the distance between the two cars using the Pythagoras theorem. |
Key Questions for School Exam Preparation
Number | Name | Type | Difficulty | Marks | Description |
---|---|---|---|---|---|
Number 1. | Name Choose the correct answer | Type Other | Difficulty easy | Marks 4 m. | Description In this exercise, choose the correct answer using Pythagors theorem. |
Number 2. | Name Find the distance between two planes | Type Other | Difficulty medium | Marks 5 m. | Description Work on the problem to find the distance between two planes after some hours. |
Number 3. | Name Find the distance | Type Other | Difficulty hard | Marks 5 m. | Description Answer the questions using Pythagors theorem. |
Questions for Teacher Use
Number | Name | Type | Difficulty | Marks | Description |
---|---|---|---|---|---|
Number 1. | Name Isosceles triangle | Type Other | Difficulty easy | Marks 1 m. | Description In this exercise, choose the correct answers using Pythagoras theorem. |
Number 2. | Name Find the side by applying the Pythagoras theorem | Type Other | Difficulty easy | Marks 1 m. | Description In this exercise, choose the correct answers using Pythagoras theorem. |
Number 3. | Name Application of Pythagoras theorem | Type Other | Difficulty medium | Marks 1 m. | Description Try to fill the blanks using Pythagoras theorem. |
Number 4. | Name Find the area of the isosceles right triangle | Type Other | Difficulty easy | Marks 3 m. | Description To prove the satement and to find the area of the isosceles right triangle. |
Number 5. | Name Calculate the distance | Type Other | Difficulty easy | Marks 2 m. | Description To calculate the distance using the Pythagoras theorem. |
Number 6. | Name Prove the following | Type Other | Difficulty medium | Marks 3 m. | Description To prove the given statement using pythagoras theorem. |
Number 7. | Name Determine the sides of the triangle | Type Other | Difficulty medium | Marks 3 m. | Description To find the sides of the triangle using Pythagoras theorem. |
Number 8. | Name Calculate the equidistance | Type Other | Difficulty hard | Marks 4 m. | Description Application problem on finding the equal length of isosceles right triangle. |
Number 9. | Name Find the initial distance | Type Other | Difficulty hard | Marks 4 m. | Description To find the initial distance using the Pythagoras theorem. |
Number 10. | Name Determine the distance using pythagoras theorem | Type Other | Difficulty easy | Marks 1 m. | Description In this exercise, choose the correct answers using Pythagoras theorem. |
Number 11. | Name Pythagoras theorem | Type Other | Difficulty medium | Marks 1 m. | Description Try to fill the blanks using Pythagoras theorem. |
Periodic assessments
Number | Name | Recomended time: | Difficulty | Marks | Description |
---|---|---|---|---|---|
Number 1. | Name Homework I | Recomended time: 00:20:00 | Difficulty easy | Marks 10 m. | Description |
Number 2. | Name Homework II | Recomended time: 00:20:00 | Difficulty easy | Marks 12 m. | Description |
Number 3. | Name Homework III | Recomended time: 00:20:00 | Difficulty medium | Marks 12 m. | Description |
Number 4. | Name Homework IV | Recomended time: 00:25:00 | Difficulty medium | Marks 16 m. | Description |
Number 5. | Name Revision test I | Recomended time: 00:30:00 | Difficulty medium | Marks 17 m. | Description |
Number 6. | Name Revision test II | Recomended time: 00:30:00 | Difficulty hard | Marks 20 m. | Description |
Number 7. | Name Revision test III | Recomended time: 00:40:00 | Difficulty hard | Marks 30 m. | Description |
Number 8. | Name Periodic Assessment | Recomended time: 00:10:00 | Difficulty medium | Marks 6 m. | Description PA 2 |
Number 9. | Name Periodic Assessment - Extended version | Recomended time: 00:10:00 | Difficulty medium | Marks 4 m. | Description PA 2 |