PDF chapter test TRY NOW
Methodical 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 angle subtended by the chord at the centre | Description Learn the theorems based on angle subtended by the chord at the centre. |
| Number 4. | Name Theorems on perpendicular from the centre to a chord | Description Learn the theorems based on perpendicular from the centre to a chord |
| 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 Theorems on angles at the circumference on the same segment | Description Learn the theorems based on angles at the circumference to the same segment of the circle. |
| Number 8. | 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 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. |
Practice Questions
| Number | Name | Type | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| Number 1. | Name Knowing the parts | Type 1st type - receptive | Difficulty easy | Marks 3 m. | Description Exercise based on the parts of the circle. |
| Number 2. | Name Choose the correct answer | Type 1st type - receptive | Difficulty easy | Marks 1 m. | Description Exercise on position of points on the circle and types of circles. |
| Number 3. | Name Find the angle | Type 2nd type - interpretation | Difficulty easy | Marks 1 m. | Description Exercise based on the theorem subtended by the chords. |
| Number 4. | Name Find the measure of 'b' | Type 2nd type - interpretation | Difficulty easy | Marks 1 m. | Description To find the angle 'b' using the theorem on the interior angles of a cyclic quadrilateral. |
| Number 5. | Name Find the required angle | Type 2nd type - interpretation | Difficulty medium | Marks 1 m. | Description Exercise based on the theorems of the angle subtended by the parts of the circle. |
| Number 6. | Name Find the degree measure of 'x' | Type 2nd type - interpretation | Difficulty medium | Marks 2 m. | Description Exercise based on the theorem of angle at the centre and the circumference of a circle. |
| Number 7. | Name Find the subtended angle | Type 3rd type - analysis | Difficulty medium | Marks 2 m. | Description Exercise based on the angle subtended by the chord and the interior angles of a cyclic quadrilateral. |
| Number 8. | Name Find the distance | Type 2nd type - interpretation | Difficulty medium | Marks 1 m. | Description Application problem based on the the properties of the chord. |
| Number 9. | Name Find the area of the shaded region | Type 3rd type - analysis | Difficulty medium | Marks 5 m. | Description Exercise based on the theorem of the angle subtended by the diameter. |
| Number 10. | Name Find the angle from the figure | Type 2nd type - interpretation | Difficulty medium | Marks 1 m. | Description Exercise based on the theorem on cyclic quadrilaterals. |
| Number 11. | Name Find the unknown angle 'y' | Type 3rd type - analysis | Difficulty medium | Marks 2 m. | Description Exercise based on the theorem on angle subtended by the chord. |
| Number 12. | Name Find the distance between the chords | Type 3rd type - analysis | Difficulty hard | Marks 2 m. | Description Exercises based on the theorems of properties of a chord. |
| Number 13. | Name Find the chord length | Type 2nd type - interpretation | Difficulty hard | Marks 4 m. | Description Exercises based on perpendicular from the centre to a chord. |
| Number 14. | Name Prove the problem | Type 3rd type - analysis | Difficulty hard | Marks 3 m. | Description Exercise based on the angle subtended by the chord at the centre. |
| Number 15. | Name Explore the unknown angles | Type 3rd type - analysis | Difficulty hard | Marks 4 m. | Description To practise the theorems on circle and cyclic quadrilaterals. |
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 Find the unknown angle 'z' | Type Other | Difficulty easy | Marks 2 m. | Description Based on the theorem on interior angles of a cyclic quadrilateral. |
| Number 3. | 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 4. | Name Find the measure of the angle | Type Other | Difficulty medium | Marks 1 m. | Description Bases on theorems on angle subtended by the chord and the theorem on cyclic quadrilateral. |
| 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. |
Tests
| Number | Name | Recomended time: | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| Number 1. | Name Training test | Recomended time: 00:20:00 | Difficulty medium | Marks 10 m. | Description |
Periodic assessments
| Number | Name | Recomended time: | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| Number 1. | Name Homework | Recomended time: 00:25:00 | Difficulty medium | Marks 8 m. | Description |
| Number 2. | Name Homework | Recomended time: 00:20:00 | Difficulty hard | Marks 6 m. | Description |
| Number 3. | Name Progress test | Recomended time: 00:30:00 | Difficulty hard | Marks 11 m. | Description |
| Number 4. | Name Progress test | Recomended time: 00:30:00 | Difficulty hard | Marks 14 m. | Description |
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