KS3 and KS4 Construction Worksheets

We have prepared a wide range of Constructions Worksheets with answers for your student or child to work through so that they can solve different types of maths problems related to geometrical constructions. By learning this concept, they will be able to understand various methods of constructing geometric structures using two points, two arcs, a perpendicular line, a straight line, and certain lengths. Our worksheets are created for plotting the missing coordinates of 2D and 3D shapes and the midpoints of triangles. These fun and engaging worksheets are ideal for students learning constructions between year 7 and year 10. 


Our Construction Worksheets help students understand maths equations related to this concept. They are easy to download in PDF format with answers included. These resources are designed to make learning maths enjoyable and easy, helping your children and students solve these tricky maths problems.

Understanding The Concept Of Construction

In mathematics, we use the concept of constructions to describe any kind of basic geometric techniques that normally create angles, and lines with only a pencil, compass and scale. These tools follow specific rules along with measurements. Understanding the concept of Construction is important as it allows us to draw and create geometric objects accurately without the complexities of measuring devices or calculations. For example- construction includes splitting angles in half, perpendicular lines, perpendicular bisectors, angle bisectors, angle bisector, circles, creating arcs intersect, drawing lines that stand straight up to each other, and forming triangles.

How Can We Construct Geometrical Constructions?

We must follow certain rules while creating geometric structures with a few technical tools like a compass and ruler. For example, if you want to cut an angle in half, you must draw arcs that meet both sides of the angle and mark the point where they intersect; this process will divide the angle evenly. This method will help your students or children understand real-life situations when they need to create precise angle division. By using this similar technique they can also make parallel lines, perpendicular lines, and circles, dividing the original line into two equal halves and regular polygons.

Use of Constructions in Real Life

Learning about constructions in maths has real-world applications. For examples- 

  • Architects use the concept of construction to design buildings with precise angles and other geometrical formations.
  • Carpenters rely on these skills to create perfectly fitting furniture.
  • Engineers apply construction in designing strong structures like bridges.
  • In daily life, these skills help with DIY projects or crafts, ensuring accurate measurements and cuts.

Mastering constructions provides practical problem-solving abilities valuable in various professions and everyday tasks!