PUMPA - SMART LEARNING
எங்கள் ஆசிரியர்களுடன் 1-ஆன்-1 ஆலோசனை நேரத்தைப் பெறுங்கள். டாப்பர் ஆவதற்கு நாங்கள் பயிற்சி அளிப்போம்
Book Free DemoMethodical recommendation:
Theory
| Number | Name | Description |
|---|---|---|
| Number 1. | Name Introduction to circle | Description Learn the definition and know the parts of the circle. |
| Number 2. | Name Circle through three points | Description Learn the number of circles that can pass through 1, 2 and 3 points. |
| Number 3. | Name Theorems on perpendicular from the centre to a chord | Description Learn the theorems based on perpendicular from the centre to a chord |
| Number 4. | Name Theorems on angle subtended by the chord at the centre | Description Learn the theorems based on angle subtended by the chord at the centre. |
| Number 5. | Name Theorems on equal chords | Description Learn the theorems based on the properties of equal chords. |
| Number 6. | Name Theorems on angle at the centre and the circumference | Description Learn the theorem based on the angle subtended by the arc of the circle. |
| Number 7. | Name Special cases of angle at the centre and the circumference | Description Learn the conjecture based on the theorems on angle at the centre and the circumference of the circle. |
| Number 8. | Name Theorems on angles at the circumference to the same segment | Description Learn the theorems based on angles at the circumference to the same segment of the circle. |
| Number 9. | Name Theorem on interior angles of a cyclic quadrilaterals | Description Learn what is cyclic quadrilateral and the theorem on property of the interior angles. |
| Number 10. | Name Theorem on exterior angles of a cyclic quadrilaterals | Description Learn the theorem based on the exterior angle property of a cyclic quadrilateral. |
| Number 11. | Name Construction of incircle of a triangle | Description Learn how to construct the incircle of a triangle. |
| Number 12. | Name Construction of centroid of a triangle | Description Learn how to construct the centroid of a triangle. |
Textbook Questions
| Number | Name | Type | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| Number 1. | Name Multiple choice question I | Type Other | Difficulty easy | Marks 2 m. | Description This exercise is to check your knowledge in the properties of circles. |
| Number 2. | Name Multiple choice question II | Type Other | Difficulty easy | Marks 2 m. | Description This exercise is to check your knowledge about cyclic quadrilateral. |
| Number 3. | Name Multiple choice question III | Type Other | Difficulty easy | Marks 2 m. | Description This exercise is to check your knowledge in the properties of circles. |
| Number 4. | Name Multiple choice question IV | Type Other | Difficulty easy | Marks 2 m. | Description This exercise is to check your knowledge about cyclic quadrilateral. |
| Number 5. | Name Multiple choice question V | Type Other | Difficulty easy | Marks 2 m. | Description This exercise is to check your knowledge in the properties of circles. |
| Number 6. | Name Two marks example problems I | Type Other | Difficulty medium | Marks 2 m. | Description Find the length of the chord using the properties of chords of circle. |
| Number 7. | Name Two marks example problems II | Type Other | Difficulty medium | Marks 4 m. | Description Determine the value of 'x' using the properties of cyclic quadrilateral. |
| Number 8. | Name Two marks example problems III | Type Other | Difficulty medium | Marks 4 m. | Description Determine the measure of the angle 'x' using the properties of cyclic quadrilateral. |
| Number 9. | Name Two marks example problems IV | Type Other | Difficulty medium | Marks 4 m. | Description Find the missing angles using the properties of circles. |
| Number 10. | Name Two marks example problems V | Type Other | Difficulty medium | Marks 5 m. | Description Find the missing angles using the properties of cyclic quadrilateral. |
| Number 11. | Name Two marks exercise problems I | Type Other | Difficulty medium | Marks 4 m. | Description Apply the properties of chords of a circle and find the length of the chord and the radius of the circle. |
| Number 12. | Name Two marks exercise problems II | Type Other | Difficulty medium | Marks 4 m. | Description Apply the properties of chords of a circle and find the length of the chord. |
| Number 13. | Name Two marks exercise problems III | Type Other | Difficulty medium | Marks 2 m. | Description Find the measure of the angle 'x' using the properties of cyclic quadrilateral. |
| Number 14. | Name Five marks example problems I | Type Other | Difficulty hard | Marks 0 m. | Description Prove the given statement using the properties of circles. |
| Number 15. | Name Five marks example problems II | Type Other | Difficulty hard | Marks 5 m. | Description Find the missing angles using the properties of circle. |
| Number 16. | Name Five marks example problems III | Type Other | Difficulty hard | Marks 0 m. | Description Construct the centroid of the triangle PQR. |
| Number 17. | Name Five marks example problems IV | Type Other | Difficulty hard | Marks 0 m. | Description Construct the incentre and incircle of the triangle ABC. |
| Number 18. | Name Five marks example problems V | Type Other | Difficulty hard | Marks 0 m. | Description Construct the incentre and incircle of an equilateral triangle. |
| Number 19. | Name Five marks exercise problems I | Type Other | Difficulty hard | Marks 10 m. | Description Find the length of the chord and the missing angles using the properties of circles. |
| Number 20. | Name Five marks exercise problems II | Type Other | Difficulty hard | Marks 5 m. | Description Determine all the angles of a cyclic quadrilateral. |
| Number 21. | Name Five marks exercise problems III | Type Other | Difficulty hard | Marks 5 m. | Description Find the missing angles of the cyclic quadrilateral. |
| Number 22. | Name Five marks exercise problems IV | Type Other | Difficulty hard | Marks 5 m. | Description Find the radius of the circle using the properties of chords of a circle. |
| Number 23. | Name Five marks exercise problems V | Type Other | Difficulty hard | Marks 5 m. | Description Find the radius of the circle using the properties of chords of a circle. |
| Number 24. | Name Five marks exercise problems VI | Type Other | Difficulty hard | Marks 5 m. | Description Determine the missing angle using the properties of cyclic quadrilateral. |
| Number 25. | Name Five marks exercise problems VII | Type Other | Difficulty hard | Marks 5 m. | Description This exercise is to check your knowledge in the properties of chords of circle. |
| Number 26. | Name Five marks exercise problems VIII | Type Other | Difficulty hard | Marks 5 m. | Description Find the length of the angle required using the properties of circles. |
| Number 27. | Name Five marks exercise problems IX | Type Other | Difficulty hard | Marks 0 m. | Description Construct the centroid of the triangle LMN. |
| Number 28. | Name Five marks exercise problems X | Type Other | Difficulty hard | Marks 0 m. | Description Draw the centroid of the right triangle ABC. |
| Number 29. | Name Five marks exercise problems XI | Type Other | Difficulty hard | Marks 0 m. | Description Construct the centroid of the triangle ABC. |
| Number 30. | Name Five marks exercise problems XII | Type Other | Difficulty hard | Marks 0 m. | Description Draw the centroid of the triangle PQR. |
| Number 31. | Name Five marks exercise problems XIII | Type Other | Difficulty hard | Marks 0 m. | Description Construct the incentre and incircle of the right triangle. |
| Number 32. | Name Five marks exercise problems IX | Type Other | Difficulty hard | Marks 0 m. | Description Construct the incentre and incircle of the triangle ABC. |
| Number 33. | Name Five marks exercise problems X | Type Other | Difficulty hard | Marks 0 m. | Description Construct the incentre and incircle of the triangle ABC. |
Practice Questions
| Number | Name | Type | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| Number 1. | Name Choose the correct answer | Type Other | Difficulty easy | Marks 2 m. | Description Exercise on position of points on the circle and types of circles. |
| Number 2. | Name Knowing the parts | Type Other | Difficulty easy | Marks 3 m. | Description Exercise based on the parts of the circle. |
| Number 3. | Name Find the unknown angle | Type Other | Difficulty easy | Marks 1 m. | Description Exercise based on the theorem on cyclic quadrilateral. |
| Number 4. | Name Find the required angle | Type Other | Difficulty medium | Marks 3 m. | Description Exercise based on the theorems of the angle subtended by the parts of the circle. |
| Number 5. | Name Find the degree measure of 'x' | Type Other | Difficulty medium | Marks 2 m. | Description Exercise based on the theorem of angle at the centre and the circumference of a circle. |
| Number 6. | Name Find the distance | Type Other | Difficulty medium | Marks 4 m. | Description Application problem based on the the properties of the chord. |
| Number 7. | Name Find the area of the shaded region | Type Other | Difficulty medium | Marks 2 m. | Description Exercise based on the theorem of the angle subtended by the diameter. |
| Number 8. | Name Find the angles from the figure | Type Other | Difficulty medium | Marks 3 m. | Description Exercise based on the theorem subtended by the chords and the theorem on cyclic quadrilaterals. |
| Number 9. | Name Find the unknown angle 'y' | Type Other | Difficulty medium | Marks 2 m. | Description Exercise based on the theorem on angle subtended by the chord. |
| Number 10. | Name Find the subtended angle | Type Other | Difficulty medium | Marks 2 m. | Description Exercise based on the angle subtended by the chord and the interior angles of a cyclic quadrilateral. |
| Number 11. | Name Identify the theorem and analyse | Type Other | Difficulty hard | Marks 4 m. | Description Exercises based on the theorems of properties of a chord. |
| Number 12. | Name Find the chord length | Type Other | Difficulty hard | Marks 4 m. | Description Exercises based on perpendicular from the centre to a chord. |
| Number 13. | Name Prove the problem | Type Other | Difficulty hard | Marks 4 m. | Description Exercise based on the angle subtended by the chord at the centre. |
| Number 14. | Name Explore the unknown angles | Type Other | Difficulty hard | Marks 5 m. | Description To practice the theorems on circle and cyclic quadrilaterals. |
Key Questions for School Exam Preparation
| Number | Name | Type | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| Number 1. | Name Calculate the required angles of the cyclic quadrilateral | Type Other | Difficulty hard | Marks 5 m. | Description Find the missing angles using the properties of circle. |
| Number 2. | Name Find the angle OAC | Type Other | Difficulty hard | Marks 5 m. | Description Determine the missing angle using the properties of cyclic quadrilateral. |
| Number 3. | Name Find the angle RPO | Type Other | Difficulty hard | Marks 5 m. | Description Find the length of the angle required using the properties of circles. |
Questions for Teacher Use
| Number | Name | Type | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| Number 1. | Name Learn it! | Type Other | Difficulty easy | Marks 1 m. | Description To understand that circle is not a polygon. |
| Number 2. | Name Think about it! | Type Other | Difficulty medium | Marks 3 m. | Description Creative exercise based on chord length and the distance of the chord from the centre. |
| Number 3. | Name Construct the incircle of a right triangle | Type Other | Difficulty medium | Marks 8 m. | Description To construct the incircle of a right triangle for the given measurements. |
| Number 4. | Name Construct the centroid of a right triangle | Type Other | Difficulty medium | Marks 8 m. | Description To construct the centroid of a right triangle for the given measurements. |
| Number 5. | Name Analyse the problem | Type Other | Difficulty hard | Marks 4 m. | Description Exercise based on the angle subtended by the chord. |
| Number 6. | Name Try it! | Type Other | Difficulty hard | Marks 4 m. | Description Exercise based on theorem on angle subtended by chord at the centre |
| Number 7. | Name Construct the incircle of an equilateral triangle | Type Other | Difficulty hard | Marks 10 m. | Description To construct the incircle of an equilateral triangle for the given measurements. |
| Number 8. | Name Construct the centroid of an equilateral triangle | Type Other | Difficulty hard | Marks 10 m. | Description To construct the centroid and incentre of an equilateral triangle for the given measurements. |
| Number 9. | Name Angle subtended by an arc of a circle | Type Other | Difficulty medium | Marks 1 m. | Description Determine the value of 'x' using the properties of cyclic quadrilateral. |
| Number 10. | Name Length of the chord | Type Other | Difficulty medium | Marks 2 m. | Description Apply the properties of chords of a circle and find the length of the chord. |
| Number 11. | Name Exterior angles of a cyclic quadrilaterals | Type Other | Difficulty easy | Marks 1 m. | Description Exercise based on the theorem on cyclic quadrilateral. |
| Number 12. | Name Angles of a cyclic quadrilateral | Type Other | Difficulty easy | Marks 1 m. | Description This exercise is to check your knowledge about cyclic quadrilateral. |
| Number 13. | Name Radius of the circle | Type Other | Difficulty medium | Marks 1 m. | Description Apply the properties of chords of a circle and find the length of the chord and the radius of the circle. |
| Number 14. | Name Calculate the angle subtended by the circle | Type Other | Difficulty medium | Marks 1 m. | Description Determine the value of 'x' using the properties of cyclic quadrilateral. |
| Number 15. | Name Determine the angle using chords | Type Other | Difficulty easy | Marks 1 m. | Description This exercise is to check your knowledge in the properties of circles. |
| Number 16. | Name Exterior angle of quadrilateral | Type Other | Difficulty medium | Marks 1 m. | Description Find the missing angles using the properties of cyclic quadrilateral. |
| Number 17. | Name The length of a chord | Type Other | Difficulty medium | Marks 1 m. | Description Find the length of the chord using the properties of chords of circle. |
Tests
| Number | Name | Recomended time: | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| Number 1. | Name Training test I | Recomended time: 00:15:00 | Difficulty medium | Marks 16 m. | Description |
| Number 2. | Name Training test II | Recomended time: 00:15:00 | Difficulty medium | Marks 16 m. | Description |
| Number 3. | Name Training test IV | Recomended time: 00:20:00 | Difficulty medium | Marks 21 m. | Description |
| Number 4. | Name Training test V | Recomended time: 00:15:00 | Difficulty medium | Marks 8 m. | Description |
| Number 5. | Name Training test VII | Recomended time: 00:15:00 | Difficulty medium | Marks 11 m. | Description |
Periodic assessments
| Number | Name | Recomended time: | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| Number 1. | Name Training test III | Recomended time: 00:20:00 | Difficulty medium | Marks 21 m. | Description |
| Number 2. | Name Training test VI | Recomended time: 00:20:00 | Difficulty medium | Marks 10 m. | Description |
| Number 3. | Name Homework I | Recomended time: 00:15:00 | Difficulty medium | Marks 14 m. | Description |
| Number 4. | Name Homework II | Recomended time: 00:15:00 | Difficulty medium | Marks 7 m. | Description |
| Number 5. | Name Homework III | Recomended time: 00:20:00 | Difficulty medium | Marks 10 m. | Description |
| Number 6. | Name Homework VI | Recomended time: 00:15:00 | Difficulty medium | Marks 16 m. | Description |
| Number 7. | Name Homework V | Recomended time: 00:15:00 | Difficulty medium | Marks 9 m. | Description |
| Number 8. | Name Homework VI | Recomended time: 00:15:00 | Difficulty medium | Marks 12 m. | Description |
| Number 9. | Name Homework VII | Recomended time: 00:15:00 | Difficulty medium | Marks 13 m. | Description |
| Number 10. | Name Homework VIII | Recomended time: 00:15:00 | Difficulty medium | Marks 24 m. | Description |
| Number 11. | Name Periodic Assessment | Recomended time: 00:10:00 | Difficulty medium | Marks 8 m. | Description PA 2 |
| Number 12. | Name Bridge Course Demo 2 | Recomended time: 00:10:00 | Difficulty medium | Marks 2 m. | Description |
| Number 13. | Name Periodic Assessment - Extended version | Recomended time: 00:10:00 | Difficulty medium | Marks 8 m. | Description PA 2 |
| Number 14. | Name Periodic Assessment 2.0 | Recomended time: 00:10:00 | Difficulty medium | Marks 20 m. | Description PA 2 |
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