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Edexcel · GCSE · Mathematics

Constructions: bisectors, angles and loci
Practice Questions

20 Edexcel GCSE Mathematics questions on Constructions: bisectors, angles and loci, each with instant feedback and a full examiner-style mark scheme.

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Try 2 sample questions on Constructions: bisectors, angles and loci

Question 1 · 1 mark · Difficulty 1/3

Which of the following correctly describes the perpendicular bisector of a line segment AB?

  1. A line that cuts AB at 90° and passes through point A
  2. A line that cuts AB at 90° and passes through its midpoint
  3. A line that cuts AB at 45° and passes through its midpoint
  4. A line parallel to AB passing through its midpoint
Show answer & explanation
✓ Answer: B — A line that cuts AB at 90° and passes through its midpoint
The perpendicular bisector of AB is a line that intersects AB at exactly 90° AND passes through the midpoint of AB — both conditions must be satisfied. Option B is wrong because the angle must be 90°, not 45°. Option C is wrong because it must pass through the midpoint, not endpoint A. Option D is wrong because it must be perpendicular to AB, not parallel.
Question 2 · 1 mark · Difficulty 1/3

A student constructs the perpendicular bisector of line segment PQ. Any point on this line is equidistant from which two points?

  1. P and the midpoint of PQ
  2. P and Q
  3. Q and the origin
  4. The midpoint of PQ and the origin
Show answer & explanation
✓ Answer: B — P and Q
Every point on the perpendicular bisector of PQ is exactly equidistant from P and Q — this is the fundamental locus property of a perpendicular bisector. Option A is incorrect as equidistance is between P and Q, not involving the origin. Option C is wrong because equidistance is from both endpoints P and Q, not P and the midpoint. Option D incorrectly introduces the origin.
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Edexcel GCSE Mathematics: Constructions: bisectors, angles and loci FAQ

How many Edexcel GCSE Mathematics questions on Constructions: bisectors, angles and loci are there on Kramizo?
Kramizo currently has 20 exam-board-aligned practice questions on Constructions: bisectors, angles and loci for Edexcel GCSE 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 Edexcel 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 Edexcel GCSE 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: bisectors, angles and loci practice with other Mathematics topics or even switch to a totally different Edexcel 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: bisectors, angles and loci questions aligned to the official Edexcel GCSE Mathematics syllabus?
Every question is written against the published Edexcel GCSE Mathematics specification, including the exact command words (state, describe, explain, calculate, evaluate, etc.), mark allocations, and difficulty tier you'd see on a real Edexcel 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 Edexcel.
How is Constructions: bisectors, angles and loci typically tested on Edexcel GCSE Mathematics papers?
Constructions: bisectors, angles and loci appears across multiple question types on real Edexcel GCSE 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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