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HomeCXC CSEC MathematicsGeometry: Constructions — using ruler and compass for standard constructions and loci
CXC · CSEC · Mathematics

Geometry: Constructions — using ruler and compass for standard constructions and loci
Practice Questions

20 CXC CSEC Mathematics questions on Geometry: Constructions — using ruler and compass for standard constructions and loci, each with instant feedback and a full examiner-style mark scheme.

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Try 2 sample questions on Geometry: Constructions — using ruler and compass for standard constructions and loci

Question 1 · 1 mark · Difficulty 1/3

Which of the following describes the locus of points that are exactly 3 cm from a fixed point O?

  1. A straight line perpendicular to O
  2. A circle with centre O and radius 3 cm
  3. Two parallel lines 3 cm apart
  4. A perpendicular bisector 3 cm from O
Show answer & explanation
✓ Answer: BA circle with centre O and radius 3 cm
Award 1 mark for identifying that the locus of points at a fixed distance from a point is a circle with that point as centre and the fixed distance as radius. A is incorrect because a single line cannot represent all points equidistant from O. C is incorrect because parallel lines represent the locus from a line, not a point. D is incorrect because a perpendicular bisector is related to two points, not one.
Question 2 · 1 mark · Difficulty 2/3

A construction worker in Jamaica needs to mark out a rectangular foundation for a house using only a measuring tape and pegs. Which standard construction would be most useful to ensure the corners are exactly 90°?

  1. Bisecting an angle
  2. Constructing a perpendicular from a point on a line
  3. Constructing the perpendicular bisector of a line segment
  4. Dividing a line segment into equal parts
Show answer & explanation
✓ Answer: BConstructing a perpendicular from a point on a line
Award 1 mark for identifying that constructing a perpendicular from a point on a line creates a 90° angle, which is essential for rectangular corners. A is incorrect because bisecting an angle would create two equal angles but not necessarily 90°. C is incorrect because the perpendicular bisector creates a 90° angle at the midpoint, not at an endpoint where foundation corners are located. D is incorrect because dividing a line into equal parts does not ensure perpendicularity.
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CXC CSEC Mathematics: Geometry: Constructions — using ruler and compass for standard constructions and loci FAQ

How many CXC CSEC Mathematics questions on Geometry: Constructions — using ruler and compass for standard constructions and loci are there on Kramizo?
Kramizo currently has 20 exam-board-aligned practice questions on Geometry: Constructions — using ruler and compass for standard constructions and loci for CXC CSEC Mathematics, with new questions added every week. Each question gives you instant feedback and a full examiner-style mark scheme that tells you exactly what would earn marks on a real CXC paper. The questions span the full difficulty range — from straightforward recall (level 1) right up to multi-step reasoning and evaluation (level 3) — so the bank works for first-pass revision and final exam-week stress testing alike.
Is Kramizo free for CXC CSEC students preparing for Mathematics?
Yes — completely free. Every student gets 45 questions a day on the free plan, with no card required and no trial countdown. That free quota works across every subject and every topic in our bank, so you can mix Geometry: Constructions — using ruler and compass for standard constructions and loci practice with other Mathematics topics or even switch to a totally different CXC subject without paying anything. Kramizo's optional Pro plan removes the daily cap and adds detailed progress analytics, but the free tier is the real product — used by thousands of GCSE, IGCSE and CSEC students.
Are the Geometry: Constructions — using ruler and compass for standard constructions and loci questions aligned to the official CXC CSEC Mathematics syllabus?
Every question is written against the published CXC CSEC Mathematics specification, including the exact command words (state, describe, explain, calculate, evaluate, etc.), mark allocations, and difficulty tier you'd see on a real CXC paper. Explanations are written in the style of official examiner mark schemes — they tell you what is being awarded marks and why distractors are wrong, not just whether you got it right. The bank is continually refined to match the latest syllabus updates from CXC.
How is Geometry: Constructions — using ruler and compass for standard constructions and loci typically tested on CXC CSEC Mathematics papers?
Geometry: Constructions — using ruler and compass for standard constructions and loci appears across multiple question types on real CXC CSEC Mathematics papers — most commonly as multiple-choice questions in the objective section, structured short-answer questions in the main paper, and occasionally as part of an extended response. Kramizo's practice bank reflects that mix: 4-option MCQs, true/false statements, fill-in-the-blank key terms, multi-select questions, and ordering questions. Working through the bank gives you exposure to every question style examiners actually use.

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