Shapes

GCSE mathematics is an important stepping stone for taking admission in prestigious colleges. Shapes are an important topic in it. The topics covered under it are:

Topic 1: shapes, symmetry, and tessellation

It includes the following topics:

• Shapes of polygons
• Types of polygons
• 2D & 3D shapes
• The symmetry of geometrical shapes
• Tessellated geometrical shapes

Topic 2: Transformations

It includes the following topics:

• Translation
• Rotation
• Reflection
• Enlargement

Topic 3: Ruler and compass construction

• Perpendicular bisector
• Angle bisector
• Equilateral triangle
• Regular polygon: Hexagon

Topic 4: Angles theorems

It includes the following topics:

• Circle theorems
• Parts of circle

Topic 5: Cyclic quadrilateral

It includes the following topics:

• Properties of cyclic quadrilaterals

Topic 6: Vectors

It includes the following topics:

• Definition of vectors
• Types of vectors
• Operation of vectors

Topic 7: Loci definition

It includes the following topics:

• Definition of loci
• drawing of loci
• 3 important loci

Topic 8: Loci & constructions

It covers the following topics:

• Construction of loci
• Calculation of areas covered by loci

Topic 9: Circle theorems

It covers the following topics:

• Parts of circle
• Area of sector and arc length

Topic 10: Areas and volumes

It covers the following:

• Calculation of area, surface area and volume of different geometrical figures
• Ratios of lengths, areas, and volumes
• Dimensions

Topic 11: Angles: Obtuse, acute, right and straight

It covers the following concepts:

• Related angles like corresponding angles, alternate angles, and adjacent angles
• Theorems associated with related angles

What is the difficulty level of shapes in GCSE mathematics?

The difficulty of shapes increases with tier. Questions asked in the foundation tier are easier. Students need to pay attention to their tier. Start by clearing the foundation tier and then proceed to the higher tier. You can gauge your preparation and understanding by appearing for mock tests. Several are available online too.

What skills do you learn with GCSE mathematics shapes?

The ‘Shapes’ is an important chapter in making you understand the 2D and 3D shapes around you. It teaches the following skills:

• Differentiate between 2D and 3D shapes around themselves and understand their transformations.

• Application of geometrical formulae and theorem in solving real-life issues. A student who knows how to calculate the surface area of a cylinder can find out how much steel plate will be needed to make its replica.
• Problem-solving skills with 3D structures.

Is it tough to clear this?

No! Shapes are one of the easiest chapters. It is easy to understand. The concepts involve figures which makes it easier to explain. Also, this topic covers all real-life situations. It is a topic that can be practically understood. 

However, to pass this paper, you need to pay attention to the following:

• Clear your concepts. Know all the formulae and theorems and their inter-relationship.
• Pay attention to the problem-solving steps. If you follow the proper order, then you will surely get the correct answer.
• Practice and practice mock tests before the actual exam. It will help you in understanding the question pattern.
• Pay attention to shapes, their areas, volumes, and surface areas.
• Practice the construction part with proper geometrical instruments.