Constructions & loci
Edexcel GCSE Maths revision on Constructions & loci. Aligned to the Pearson Edexcel GCSE Mathematics 1MA1 specification. This bank has 16 practice questions on this topic.
Sample questions (3 of 16)
-
Question 1
Which tool is primarily used to construct a perpendicular bisector of a given line segment?
- A) A pair of compasses
- B) A plastic protractor
- C) A wooden set square
- D) A metal ruler only
Show answer
Answer: A pair of compasses
The correct answer is a pair of compasses. By drawing two intersecting arcs of equal radius from both ends of the line segment, you define two points that lie on the perpendicular bisector. A ruler alone is insufficient because it cannot guarantee the 90-degree angle or the exact midpoint without estimation.
-
Question 2
What is the name of the locus of points that are all exactly 5 centimetres from a single fixed point?
- A) A circular path
- B) A linear shape
- C) A square frame
- D) A sector area
Show answer
Answer: A circular path
The correct answer is a circular path. The set of all points equidistant from a fixed centre point defines the circumference of a circle. Misconceptions often arise by confusing the interior area with the boundary line itself.
-
Question 3
When bisecting an angle, how many arcs must be drawn from the vertex of the angle to begin the construction?
Show answer
Answer: 1
The correct answer is 1. You place the compass point on the vertex and draw one arc that crosses both arms of the angle, creating two points that act as the new centres for subsequent arcs.
Want to test yourself on the remaining cards for this topic?
13 more questions on Constructions & loci — plus mistakes tracking and spaced repetition across the whole Maths spec.