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HomeAQA GCSE MathematicsPythagoras' theorem in 2D and 3D
AQA · GCSE · Mathematics

Pythagoras' theorem in 2D and 3D
Practice Questions

40 AQA GCSE Mathematics questions on Pythagoras' theorem in 2D and 3D, 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 Pythagoras' theorem in 2D and 3D.

Try 2 sample questions on Pythagoras' theorem in 2D and 3D

Question 1 · 1 mark · Difficulty 1/3

Which side of a right-angled triangle is always the longest?

  1. The vertical side
  2. The horizontal side
  3. The hypotenuse
  4. They are all the same length
Show answer & explanation
✓ Answer: CThe hypotenuse
It is the side opposite the right angle, and identifying it is the first step in every question of this kind.
Question 2 · 1 mark · Difficulty 1/3

A right-angled triangle has shorter sides of 12 cm and 16 cm. Find the hypotenuse.

  1. 14 cm
  2. 28 cm
  3. 400 cm
  4. 20 cm
Show answer & explanation
✓ Answer: D20 cm
Squaring and adding gives 144 + 256 = 400, and the square root of 400 is 20. Forgetting the square root would leave 400.
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20 questions · 25 min · free

AQA GCSE Mathematics: Pythagoras' theorem in 2D and 3D FAQ

Is Kramizo free for AQA 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 Pythagoras' theorem in 2D and 3D practice with other Mathematics topics or even switch to a totally different AQA 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 Pythagoras' theorem in 2D and 3D questions aligned to the official AQA GCSE Mathematics syllabus?
Every question is written against the published AQA 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 AQA 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 AQA.
How is Pythagoras' theorem in 2D and 3D typically tested on AQA GCSE Mathematics papers?
Pythagoras' theorem in 2D and 3D appears across multiple question types on real AQA 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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