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Transformations: Combined and inverse transformations
Practice Questions

40 CIE IGCSE Mathematics questions on Transformations: Combined and inverse transformations, each with instant feedback and a full examiner-style mark scheme.

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Try 2 sample questions on Transformations: Combined and inverse transformations

Question 1 · 1 mark · Difficulty 1/3

The transformation T is a rotation of 90° anticlockwise about the origin. What is the inverse transformation T⁻¹?

  1. Rotation 90° clockwise about the origin
  2. Rotation 90° anticlockwise about the origin
  3. Rotation 180° about the origin
  4. Reflection in the line y = x
Show answer & explanation
✓ Answer: A — Rotation 90° clockwise about the origin
Award 1 mark for correct answer. The inverse of a rotation is a rotation of the same magnitude in the opposite direction about the same centre. B is incorrect because this is the original transformation, not its inverse. C is incorrect because 180° rotation is its own inverse but does not undo 90° anticlockwise. D is incorrect because reflection in y = x is not the inverse of this rotation.
Question 2 · 1 mark · Difficulty 2/3

Triangle P is reflected in the line y = x to give triangle Q. Triangle Q is then reflected in the line y = -x to give triangle R. Which single transformation maps triangle P directly onto triangle R?

  1. Rotation of 90° clockwise about the origin
  2. Rotation of 180° about the origin
  3. Reflection in the x-axis
  4. Reflection in the y-axis
Show answer & explanation
✓ Answer: B — Rotation of 180° about the origin
Award 1 mark for identifying that two successive reflections in lines that intersect at 90° at the origin produce a rotation of 180° about the origin. A is incorrect because a 90° rotation would require reflection in two lines at 45° to each other. C is incorrect because reflection in the x-axis is not equivalent to this combined transformation. D is incorrect because reflection in the y-axis is not equivalent to this combined transformation.
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CIE IGCSE Mathematics: Transformations: Combined and inverse transformations FAQ

How many CIE IGCSE Mathematics questions on Transformations: Combined and inverse transformations are there on Kramizo?
Kramizo currently has 40 exam-board-aligned practice questions on Transformations: Combined and inverse 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 Transformations: Combined and inverse 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 Transformations: Combined and inverse 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 Transformations: Combined and inverse transformations typically tested on CIE IGCSE Mathematics papers?
Transformations: Combined and inverse 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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