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HomeCIE IGCSE MathematicsVectors: Vector notation, magnitude and direction
CIE · IGCSE · Mathematics

Vectors: Vector notation, magnitude and direction
Practice Questions

20 CIE IGCSE Mathematics questions on Vectors: Vector notation, magnitude and direction, 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 Vectors: Vector notation, magnitude and direction.

Try 2 sample questions on Vectors: Vector notation, magnitude and direction

Question 1 · 1 mark · Difficulty 1/3

Which of the following correctly represents the vector from point A to point B in column vector notation?

  1. AB
  2. BA
  3. vector AB with arrow above
  4. |AB|
Show answer & explanation
✓ Answer: Cvector AB with arrow above
Award 1 mark for recognizing that vectors are denoted with an arrow above the letters or bold type. A is incorrect because AB without notation represents a scalar distance. B is incorrect because BA represents the vector from B to A, which is the opposite direction. D is incorrect because |AB| represents the magnitude (length) of the vector, not the vector itself.
Question 2 · 1 mark · Difficulty 2/3

Vector a = (5, 12) and vector b = (-5, -12). What is the relationship between these vectors?

  1. They are equal vectors
  2. They are parallel and in the same direction
  3. They are parallel and in opposite directions
  4. They are perpendicular
Show answer & explanation
✓ Answer: CThey are parallel and in opposite directions
Award 1 mark for recognizing that b = -a, which means the vectors have the same magnitude but opposite directions. A is incorrect because the vectors have different components. B is incorrect because they point in opposite directions. D is incorrect because perpendicular vectors satisfy a·b = 0, but here the dot product is -25 - 144 = -169.
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CIE IGCSE Mathematics: Vectors: Vector notation, magnitude and direction FAQ

How many CIE IGCSE Mathematics questions on Vectors: Vector notation, magnitude and direction are there on Kramizo?
Kramizo currently has 20 exam-board-aligned practice questions on Vectors: Vector notation, magnitude and direction 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 Vectors: Vector notation, magnitude and direction 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 Vectors: Vector notation, magnitude and direction 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 Vectors: Vector notation, magnitude and direction typically tested on CIE IGCSE Mathematics papers?
Vectors: Vector notation, magnitude and direction 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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