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Constructions and Loci – geometric constructions using ruler and compass
Practice Questions

20 CXC CSEC Mathematics questions on Constructions and Loci – geometric constructions using ruler and compass, each with instant feedback and a full examiner-style mark scheme.

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Try 2 sample questions on Constructions and Loci – geometric constructions using ruler and compass

Question 1 · 1 mark · Difficulty 1/3

A student is asked to construct the perpendicular bisector of a line segment AB using only a ruler and compass. Which of the following describes the correct first step?

  1. Draw a line through the midpoint of AB
  2. Place the compass point at A and draw an arc above and below AB
  3. Measure the length of AB with a ruler and divide by 2
  4. Draw a circle with centre at the midpoint of AB
Show answer & explanation
✓ Answer: B — Place the compass point at A and draw an arc above and below AB
Award 1 mark for identifying that the compass must be placed at point A to draw arcs above and below the line segment. A is incorrect — finding the midpoint without compass arcs is not the standard construction method. C is incorrect — measuring and dividing is a calculation method, not a geometric construction. D is incorrect — the midpoint is not yet known at the first step.
Question 2 · 1 mark · Difficulty 1/3

When constructing the bisector of angle ABC using a compass and ruler, arcs are drawn from B to cut BA and BC at points P and Q respectively. What is the next step?

  1. Join P to Q with a straight line
  2. Draw arcs from P and Q to intersect inside the angle
  3. Measure the angle with a protractor to check accuracy
  4. Extend the lines BA and BC beyond the angle
Show answer & explanation
✓ Answer: B — Draw arcs from P and Q to intersect inside the angle
Award 1 mark for identifying that equal arcs drawn from P and Q intersect to locate a point on the angle bisector. A is incorrect — joining P to Q does not locate the bisector. C is incorrect — using a protractor is not part of a compass-and-ruler construction. D is incorrect — extending the lines is unnecessary for this construction.
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CXC CSEC Mathematics: Constructions and Loci – geometric constructions using ruler and compass FAQ

How many CXC CSEC Mathematics questions on Constructions and Loci – geometric constructions using ruler and compass are there on Kramizo?
Kramizo currently has 20 exam-board-aligned practice questions on Constructions and Loci – geometric constructions using ruler and compass 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 Constructions and Loci – geometric constructions using ruler and compass 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 Constructions and Loci – geometric constructions using ruler and compass 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 Constructions and Loci – geometric constructions using ruler and compass typically tested on CXC CSEC Mathematics papers?
Constructions and Loci – geometric constructions using ruler and compass 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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