Ә.Н.Шыныбеков. Геометрия 11-сынып, 2011

Questions and problems for reviewing Grade 10 material

Chapter I. Polyhedra

1. Concept of a polyhedron

1.1. Trihedral and polyhedral angles

1.2. Concept of a geometric solid

1.3. Concept of polyhedra

2. Types of polyhedra

2.1. Prism

2.2. Parallelepiped

2.3. Pyramid

2.4. Frustum of a pyramid

2.5. Cross-sections of a polyhedron

2.6. Regular polyhedra

3. Transformations of space

3.1. Isometry

3.2. Similarity

Chapter II. Solids of revolution

1. Cylinder

1.1. Concept of solids and surfaces of revolution

1.2. Cylinder

1.3. Prisms inscribed in and circumscribed about a cylinder

2. Cone

2.1. Concept of a cone

2.2. Frustum of a cone

3. Ball and sphere

3.1. Concept of a ball and a sphere

3.2. Equation of a sphere

3.3. Tangent plane to a sphere

Chapter III. Volumes of polyhedra and solids of revolution

1. Volume of a parallelepiped, prism and pyramid

1.1. Concept of volume

1.2. Volume of a parallelepiped and a prism

1.3. Volume of a pyramid

2. Volumes of solids of revolution

2.1. Volume of a cylinder

2.2. Volume of a cone

2.3. Volume of a ball and its parts

2.4. Surface area of a sphere

Chapter IV. Questions and exercises for reviewing the school geometry course

Plane geometry

Solid geometry

Answers