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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