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AQA · GCSE · Mathematics

Volume and surface area of prisms, cylinders, pyramids, cones and spheres
Practice Questions

40 AQA GCSE Mathematics questions on Volume and surface area of prisms, cylinders, pyramids, cones and spheres, 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 Volume and surface area of prisms, cylinders, pyramids, cones and spheres.

Try 2 sample questions on Volume and surface area of prisms, cylinders, pyramids, cones and spheres

Question 1 · 1 mark · Difficulty 1/3

What is a prism?

  1. A solid with a uniform cross-section along its length
  2. A solid that tapers to a single point
  3. A solid with a circular base
  4. Any solid with flat faces
Show answer & explanation
✓ Answer: A — A solid with a uniform cross-section along its length
Because the cross-section never changes, its volume is simply that area multiplied by the length.
Question 2 · 1 mark · Difficulty 1/3

What is the volume of any prism?

  1. Half the base multiplied by the height
  2. The perimeter multiplied by the length
  3. The base area multiplied by one third of the height
  4. The cross-sectional area multiplied by the length
Show answer & explanation
✓ Answer: D — The cross-sectional area multiplied by the length
This holds whatever the shape of the cross-section, which is what makes the rule so useful.
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20 questions · 25 min · free

AQA GCSE Mathematics: Volume and surface area of prisms, cylinders, pyramids, cones and spheres 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 Volume and surface area of prisms, cylinders, pyramids, cones and spheres 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 Volume and surface area of prisms, cylinders, pyramids, cones and spheres 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 Volume and surface area of prisms, cylinders, pyramids, cones and spheres typically tested on AQA GCSE Mathematics papers?
Volume and surface area of prisms, cylinders, pyramids, cones and spheres 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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