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HomeCIE IGCSE MathematicsAlgebra and Graphs: Length and midpoint of a line segment
CIE · IGCSE · Mathematics

Algebra and Graphs: Length and midpoint of a line segment
Practice Questions

20 CIE IGCSE Mathematics questions on Algebra and Graphs: Length and midpoint of a line segment, each with instant feedback and a full examiner-style mark scheme.

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✨ Revision guide includes key terms, worked examples and exam technique for Algebra and Graphs: Length and midpoint of a line segment.

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Question 1 · 1 mark · Difficulty 1/3

A surveyor in Indonesia marks two positions on a coordinate grid. Position P is at (-3, 4) and position Q is at (5, -2). What is the midpoint of PQ?

  1. (1, 1)
  2. (2, 2)
  3. (4, 3)
  4. (8, 6)
Show answer & explanation
✓ Answer: A(1, 1)
Award 1 mark for correct application of midpoint formula: ((-3+5)/2, (4+(-2))/2) = (2/2, 2/2) = (1, 1). B is incorrect — this confuses the calculation. C is incorrect — this adds coordinates without dividing by 2. D is incorrect — this is the sum of absolute values of coordinates.
Question 2 · 1 mark · Difficulty 1/3

The coordinates of two points are A(2, 3) and B(8, 11). What is the length of the line segment AB?

  1. 10
  2. 14
  3. √52
  4. 100
Show answer & explanation
✓ Answer: A10
Award 1 mark for correct application of the distance formula: √[(8-2)² + (11-3)²] = √[36 + 64] = √100 = 10. B is incorrect — this is the sum of the differences (6 + 8) without using the formula. C is incorrect — this results from adding the squares incorrectly. D is incorrect — this is the value before taking the square root.
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CIE IGCSE Mathematics: Algebra and Graphs: Length and midpoint of a line segment FAQ

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