UPSKILL MATH PLUS

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Methodical recommendation:

Theory

Number Name Description
1. Introduction to perpendicular bisectors Let us get introduced to perpendicular bisectors.
2. Introduction to circumcentre Let us get introduced to circumcentre.
3. Introduction to incentre Let us get introduced to angle bisector and incentre.
4. Properties of quadrilaterals Let us get to know the properties of quadrilaterals.
5. Construction of a rhombus Let us construct a rhombus using the two methods discussed in this section.
6. Other methods of constructing a rhombus Let us look at the other two methods of constructing a rhombus.
7. Construction of a rectangle Let us look at different methods of constructing a rectangle.
8. Construction of a square Let us look at the different methods of constructing a square.

Textbook Questions

Number Name Type Difficulty Marks Description
1. One mark exercise problems Other easy 2 m. Try to find whether the given statements are correct or not.
2. Four mark example problems I Other medium 4 m. Try to find the radius of the circumcentre.
3. Four mark example problems II Other medium 4 m. Practice the problem to find the incentre of the triangle.
4. Four mark exercise problems I Other medium 4 m. Check your understanding skills in the concept of perpendicular bisectors.
5. Four mark exercise problems II Other medium 4 m. Check your understanding skills in the concept of orthocentre.
6. Four mark exercise problems III Other medium 4 m. Check your understanding skills in the concept of incentre of the triangle.
7. Five mark example problems I Other medium 0 m. Try to construct the rhombus when one side and one diagonal are given.
8. Five mark example problems II Other medium 0 m. Try to construct a rhombus when one side and one angle are given.
9. Five mark example problems III Other medium 0 m. Practice the problem to construct a rhombus when two diagonals are given.
10. Five mark example problems IV Other medium 0 m. Practice a problem to construct a rhombus when one diagonal and one angle are given.
11. Five mark example problems V Other medium 0 m. Try to construct a rectangle when its length and breadth are provided.
12. Five mark example problems VI Other medium 0 m. Try to construct a rectangle when a side and a diagonal are given.
13. Five mark example problems VII Other medium 0 m. Practice a problem to construct a square when its sides are provided.
14. Five mark example problems VIII Other medium 0 m. Try to construct a square when its diagonal is given.
15. Five mark exercise problems I Other hard 0 m. Try to construct the rhombus when one side and one diagonal are given.
16. Five mark exercise problems II Other hard 0 m. Try to construct a rhombus when one side and one angle are given.
17. Five mark exercise problems III Other hard 0 m. Practice the problem to construct a rhombus when two diagonals are given.
18. Five mark exercise problems IV Other hard 0 m. Practice a problem to construct a rhombus when one diagonal and one angle are given.
19. Five mark exercise problems V Other hard 0 m. Try to construct a rectangle when its length and breadth are provided.
20. Five mark exercise problems VI Other hard 0 m. Try to construct a rectangle when a side and a diagonal are given.
21. Five mark exercise problems VII Other hard 0 m. Practice a problem to construct a square when its sides are provided.
22. Five mark exercise problems VIII Other hard 0 m. Try to construct a square when its diagonal is given.

Practice Questions

Number Name Type Difficulty Marks Description
1. Find the required angle Other easy 2 m. Find the two bisected angles of the given angle.
2. Find the circumradius Other medium 3 m. Find the circumradius using the data given.
3. Find the area Other medium 3 m. Find the area of the quadrilateral using the data given.
4. Find the required length Other medium 3 m. Find the length of the line segment using the conditions given.
5. Find the angle Other hard 5 m. Find the required angle using the conditions given.
6. Order the steps of construction Other hard 5 m. Order the steps of construction of the given quadrilateral.

Key Questions for School Exam Preparation

Number Name Type Difficulty Marks Description
1. Say true or false Other easy 1 m. Try to find whether the given statements are correct or not.
2. Find the length of CS Other medium 4 m. Check your understanding skills in the concept of perpendicular bisectors.
3. Construct a rhombus Other medium 0 m. Practice the problem to construct a rhombus when two diagonals are given.
4. Construct a rectangle Other hard 0 m. Try to construct a rectangle when its length and breadth are provided.
5. Construct a square Other hard 0 m. Try to construct a square when its diagonal is given.

Questions for Teacher Use

Number Name Type Difficulty Marks Description
1. Find the radius of the circumcircle Other medium 3 m. Find the circumradius for the given condition.
2. Position of the circumcentre Other medium 3 m. Find the position of the cirumcentre of different types of triangles.
3. Arrange the steps of construction Other hard 5 m. Arrange the steps of construction of the specified quadrilteral.
4. Construct the rhombus Other hard 10 m. Construct a rhombus using the given conditions.
5. Construct a rhombus using the measurements given Other hard 10 m. Construct a rhombus using the given measurements.
6. Construct a rectangle Other hard 10 m. Construct a rectangle using the given conditions.
7. Construct a square Other hard 8 m. Construct a square using the given conditions.
8. Incentre of the triangle Other medium 1 m. Check your understanding skills in the concept of incentre of the triangle.
9. Angle bisector Other easy 1 m. Find the two bisected angles of the given angle.
10. Incentre of the triangle meets angle bisector Other hard 1 m. Find the required angle using the conditions given.
11. The resultant angles Other easy 1 m. Find the two bisected angles of the given angle.
12. Find the radius of the circumcircle Other medium 1 m. Try to find the radius of the circumcentre.

Periodic assessments

Number Name Recomended time: Difficulty Marks Description
1. Homework I 00:25:00 easy 7 m.
2. Homework II 00:25:00 medium 7 m.
3. Homework III 00:25:00 medium 7 m.
4. Homework IV 00:35:00 medium 7 m.
5. Homework V 00:35:00 medium 8 m.
6. Revision test I 00:35:00 medium 8 m.
7. Revision test II 00:35:00 hard 10 m.
8. Revision test III 00:45:00 hard 10 m.
9. Revision test IV 00:45:00 hard 13 m.
10. Revision test V 00:45:00 hard 20 m.
11. Periodic Assessments 00:15:00 medium 6 m. PA2
12. Periodic Assessments 2.0 00:15:00 medium 14 m. PA2