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CIE · IGCSE · Mathematics

Vectors and Transformations
Practice Questions

246 CIE IGCSE Mathematics questions on Vectors and Transformations, each with instant feedback and a full examiner-style mark scheme.

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Try 2 sample questions on Vectors and Transformations

Question 1 · 1 mark · Difficulty 1/3

The vector AB = (6, -8). What is the magnitude of vector AB?

  1. √28 units
  2. 10 units
  3. 14 units
  4. 7 units
Show answer & explanation
✓ Answer: B10 units
The magnitude of a vector (a, b) is calculated using |AB| = √(a² + b²). Here, |AB| = √(6² + (-8)²) = √(36 + 64) = √100 = 10 units. Option A adds the components directly. Option C doubles the correct answer, a common scale error. Option D incorrectly computes √(4+24) by halving components.
Question 2 · 1 mark · Difficulty 1/3

What is the order of the matrix \(\begin{pmatrix} 3 & -1 & 4 \\ 2 & 0 & 5 \end{pmatrix}\)?

  1. 2 × 2
  2. 2 × 3
  3. 3 × 2
  4. 3 × 3
Show answer & explanation
✓ Answer: B2 × 3
Award 1 mark for identifying rows × columns. A is incorrect — this would be a square 2 × 2 matrix. C is incorrect — this reverses rows and columns (a common misconception). D is incorrect — this would require 3 rows and 3 columns.
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CIE IGCSE Mathematics: Vectors and Transformations FAQ

How many CIE IGCSE Mathematics questions on Vectors and Transformations are there on Kramizo?
Kramizo currently has 246 exam-board-aligned practice questions on Vectors and Transformations 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 and Transformations 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 and Transformations 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 and Transformations typically tested on CIE IGCSE Mathematics papers?
Vectors and Transformations 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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