UPSKILL MATH PLUS
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Practice Questions
| Number | Name | Type | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Exploring the Parts of a Circle | Other | easy | 3 m. | Exercise based on the parts of the circle. |
| 2. | Analyse the circle | Other | easy | 2 m. | Exercise on position of points on the circle and types of circles. |
| 3. | Determine the angle using chords | Other | medium | 1 m. | This exercise is to check your knowledge in the properties of circles. |
| 4. | Prove the problem | Other | hard | 4 m. | Exercise based on the angle subtended by the chord at the centre. |
| 5. | Find the required angle | Other | hard | 3 m. | Problem based on the chord and centre of the circle. |
| 6. | Find the distance between the chords | Other | medium | 5 m. | Exercises based on the theorems of properties of a chord. |
| 7. | Find the radius of the circle | Other | medium | 3 m. | To find the required length of the chord based on the theorem of chord of the circle. |
| 8. | Find the diameter | Other | medium | 3 m. | Problem based on the the properties of the chord. |
| 9. | Find the angle | Other | easy | 2 m. | To find the required angle. |
| 10. | Find the degree measure of 'x' | Other | medium | 3 m. | Exercise based on the theorem of angle at the centre and the circumference of a circle. |
| 11. | Find the unknown angle 'y' | Other | medium | 3 m. | Exercise based on the theorem on angle subtended by the chord. |
| 12. | Find the angle subtended by the major arc and the minor arc | Other | hard | 4 m. | Exercise based on the angle subtended by the chord and the interior angles of a cyclic quadrilateral. |
| 13. | Find the measure of 'b' | Other | easy | 2 m. | To find the angle 'b' using the theorem on the interior angles of a cyclic quadrilateral. |
| 14. | Find the unknown angle 'z' | Other | easy | 2 m. | Based on the theorem on interior angles of a cyclic quadrilateral. |
| 15. | Find the measure of the angle | Other | medium | 3 m. | Bases on theorems on angle subtended by the chord and the theorem on cyclic quadrilateral. |
| 16. | Explore the unknown angles | Other | medium | 4 m. | To practise the theorems on circle and cyclic quadrilaterals. |
| 17. | Prove the concyclicity of points | Other | hard | 4 m. | To know about cyclic points. |
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