UPSKILL MATH PLUS
Learn Mathematics through our AI based learning portal with the support of our Academic Experts!
Learn moreMethodical recommendation:
Theory
| Number | Name | Description |
|---|---|---|
| 1. | Recall about quadrilateral | Learn what is quadrilateral. |
| 2. | Types of quadrilaterals and its properties | Learn different types of quadrilaterals with its properties. |
| 3. | Parallelogram theorem-I, II | Learn to derive the proof for the parallogram theorems I and II. |
| 4. | Parallelogram theorem-III, IV, V | Learn to derive the proof for the parallogram theorems III, IV and V. |
| 5. | Circumcentre, circumcircle, circumradius and orthocenter of triangle | Learn the concept of circumcenter, circumcircle, circumradius and orthocenter of a triangle. |
| 6. | Construct circumcentre of a triangle | Learn to draw circumcentre of a triangle and draw circumcircle and circumradius.. |
| 7. | Construct a orthocentre of a triangle | Learn to construct orthocentre of a triangle. |
Textbook Questions
| Number | Name | Type | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Multiple choice question I | Other | easy | 2 m. | This exercise is to check your knowledge in the properties of quadrilaterals. |
| 2. | Multiple choice question II | Other | easy | 2 m. | This exercise is to check your knowledge in the properties of quadrilaterals. |
| 3. | Multiple choice question III | Other | easy | 2 m. | This exercise is to check your knowledge in the properties of quadrilaterals. |
| 4. | Two marks exercise problems I | Other | medium | 4 m. | Find the angles of a quadrilateral using the properties of quadrilateral. |
| 5. | Five marks example problems I | Other | hard | 0 m. | Show the given statements using the properties of quadrilateral. |
| 6. | Five marks example problems II | Other | hard | 0 m. | Show the given statements using the properties of quadrilateral. |
| 7. | Five marks example problems III | Other | hard | 0 m. | Construct the triangle and locate the orthocentre of it. |
| 8. | Five marks example problems IV | Other | hard | 0 m. | Construct the circumcentre of the triangle ABC and find the circumradius. |
| 9. | Five marks exercise problems I | Other | hard | 0 m. | Prove the given statement using the properties of parallelogram. |
| 10. | Five marks exercise problems II | Other | hard | 0 m. | Prove the given statement using the properties of parallelogram. |
| 11. | Five marks exercise problems III | Other | hard | 6 m. | Find the angles of a quadrilateral using the properties of quadrilateral. |
| 12. | Five marks exercise problems IV | Other | hard | 5 m. | Find the values of 'x' and 'y' using the properties of triangle. |
| 13. | Five marks exercise problems V | Other | hard | 5 m. | Determine the ratio of quadrilateral using the congruence property of triangles. |
| 14. | Five marks exercise problems VI | Other | hard | 5 m. | Find the length of 'd' using the properties of parallelograms. |
| 15. | Five marks exercise problems VII | Other | hard | 0 m. | This exercise is to check your knowledge in the properties of parallelogram. |
| 16. | Five marks exercise problems VIII | Other | hard | 0 m. | Construct the triangle and locate the orthocentre of it. |
| 17. | Five marks exercise problems IX | Other | hard | 0 m. | Construct the equilateral triangle and locate the orthocentre of it. |
| 18. | Five marks exercise problems X | Other | hard | 0 m. | Construct the triangle and locate the orthocentre of it. |
| 19. | Five marks exercise problems XI | Other | hard | 0 m. | Construct the right triangle and locate the orthocentre of it. |
| 20. | Five marks exercise problems XII | Other | hard | 0 m. | Construct the circumcentre of the triangle ABC and find the circumradius. |
| 21. | Five marks exercise problems XIII | Other | hard | 0 m. | Construct the circumcentre of the right triangle PQR and find the circumradius. |
| 22. | Five marks exercise problems XIV | Other | hard | 0 m. | Construct the circumcentre of the right triangle ABC and find the circumradius. |
| 23. | Five marks exercise problems XV | Other | hard | 0 m. | Construct the circumcentre of the triangle PQR and find the circumradius. |
Practice Questions
| Number | Name | Type | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Classify quadrilaterals | Other | easy | 1 m. | Practice to define the given quadrilateral and select all the applicable shapes. |
| 2. | Predict the quadrilateral is in given shape | Other | easy | 1 m. | Identify the given image and statements are correct or not. |
| 3. | Check the quadrilateral is a parallelogram or not | Other | easy | 2 m. | Applying the property and check whether the provided quadrilateral is a parallelogram or not. |
| 4. | Determine the length of its two sides | Other | easy | 2 m. | Practice the perimeter of the parallelogram using the given sides. |
| 5. | Find the interior angle of the rectangle | Other | medium | 3 m. | Practice a problem on finding interior angle of rectangle. |
| 6. | Find the unknown value | Other | medium | 3 m. | Predict the unknown value using the known diagonal. |
| 7. | Evaluate the unknown equal angles in isosceles triangle | Other | medium | 4 m. | Calculate unknown equal angles in the provided triangle if one among the interior angle is given. |
| 8. | Find angles measure in parallelogram | Other | medium | 4 m. | Practice to find the angle measure in parallelogram. |
| 9. | Determine the angle of parallelogram | Other | medium | 3 m. | Practice to determine the interior angle of the parallelogram. |
| 10. | Find the unknown angle if other two angles are given | Other | medium | 3 m. | Apply angle sum property to find one of the unknown value. |
| 11. | Determine the unknown angle in the right triangle | Other | medium | 3 m. | Practice a problem to find the unknown angle in right triangle by applying angle sum property. |
| 12. | Determine the length of all sides | Other | hard | 4 m. | Practice the perimeter and also its side length. |
| 13. | Express the interior angle of the parallelogram | Other | hard | 4 m. | It is required to find the angle of a triangle from the given parallelogram. |
| 14. | Determine the required angles | Other | hard | 4 m. | Use the suitable property to find the required angle. |
| 15. | Calculate the interior angles of parallelogram | Other | hard | 4 m. | Practice a problem on property of parallelogram. |
| 16. | Estimate the unknown angle | Other | hard | 5 m. | Analyse the provided parallelogram and determine the unknown angle by applying its property. |
| 17. | Find two unknown angles for the given angle ratio | Other | hard | 4 m. | Calculate two unknown angles using its ratio by applying angle sum property to it. |
Key Questions for School Exam Preparation
| Number | Name | Type | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Find the angles of a quadrilateral | Other | medium | 2 m. | Find the angles of a quadrilateral using the properties of quadrilateral. |
| 2. | Calculate x and y angles. | Other | hard | 5 m. | Find the values of 'x' and 'y' using the properties of triangle. |
| 3. | Find the length of 'd' | Other | hard | 5 m. | Find the length of 'd' using the properties of parallelograms. |
Questions for Teacher Use
| Number | Name | Type | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Prove the statement | Other | medium | 3 m. | Try to understand the properties of parallelogram and prove it. |
| 2. | Locate the circumcentre of a triangle using the paper folding | Other | medium | 1 m. | Do the activity based on the concept of circumcentre of a triangle. |
| 3. | Identify angles of measurement in parallelogram | Other | medium | 3 m. | Using the given angle, find the other angle measures in parallelogram. |
| 4. | Build the circumcentre of the circumcircle and circumradius triangle | Other | medium | 5 m. | Try to build the circumcentre of the circumcircle and circumradius triangle. |
| 5. | Construct a orthocentre of a triangle | Other | medium | 5 m. | Practice the construction of a orthocentre in a triangle |
| 6. | The angles of a quadrilateral | Other | medium | 1 m. | Find the angles of a quadrilateral using the properties of quadrilateral. |
| 7. | Classify quadrilaterals | Other | easy | 1 m. | Practice to define the given quadrilateral and select all the applicable shapes. |
| 8. | Angle of quadrilateral | Other | easy | 1 m. | This exercise is to check your knowledge in the properties of quadrilaterals. |
| 9. | Angle sum property of a triangle | Other | hard | 1 m. | Find the values of 'x' and 'y' using the properties of triangle. |
| 10. | Determine the angle of parallelogram | Other | medium | 1 m. | Practice to determine the interior angle of the parallelogram. |
| 11. | Find the interior angle of the rectangle | Other | medium | 1 m. | Practice a problem on finding interior angle of rectangle. |
Tests
| Number | Name | Recomended time: | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Training test I | 00:15:00 | medium | 11 m. | |
| 2. | Training test II | 00:20:00 | medium | 9 m. | |
| 3. | Training test IV | 00:20:00 | medium | 4 m. | |
| 4. | Training test VII | 00:15:00 | medium | 8 m. |
Periodic assessments
| Number | Name | Recomended time: | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Training test III | 00:20:00 | medium | 11 m. | |
| 2. | Training test V | 00:20:00 | medium | 7 m. | |
| 3. | Training test VI | 00:20:00 | medium | 9 m. | |
| 4. | Homework I | 00:15:00 | medium | 2 m. | |
| 5. | Homework II | 00:15:00 | medium | 5 m. | |
| 6. | Homework III | 00:15:00 | medium | 6 m. | |
| 7. | Homework IV | 00:15:00 | medium | 6 m. | |
| 8. | Homework V | 00:15:00 | medium | 7 m. | |
| 9. | Homework VI | 00:15:00 | medium | 12 m. | |
| 10. | Homework VII | 00:15:00 | medium | 16 m. | |
| 11. | Periodic Assessment | 00:10:00 | medium | 2 m. | PA 2 |
| 12. | Bridge Course Demo 2 | 00:10:00 | medium | 2 m. | |
| 13. | Periodic Assessment - Extended version | 00:10:00 | medium | 8 m. | PA 2 |
Register for free to see more content