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HomeCIE IGCSE MathematicsMensuration: Surface area and volume of pyramids, cones and spheres
CIE · IGCSE · Mathematics

Mensuration: Surface area and volume of pyramids, cones and spheres
Practice Questions

20 CIE IGCSE Mathematics questions on Mensuration: Surface area and volume of pyramids, cones and spheres, each with instant feedback and a full examiner-style mark scheme.

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Try 2 sample questions on Mensuration: Surface area and volume of pyramids, cones and spheres

Question 1 · 1 mark · Difficulty 1/3

A solid cone has base radius 5 cm and perpendicular height 12 cm. Calculate the volume of the cone.

  1. 100π cm³
  2. 300 cm³
  3. 100 cm³
  4. 314 cm³
Show answer & explanation
✓ Answer: D314 cm³
Award 1 mark for correct application of V = ⅓πr²h = ⅓π(5)²(12) = 100π ≈ 314.16 cm³. A is incorrect — this gives 100π without evaluation. B is incorrect — this omits π from the calculation. C is incorrect — this uses the formula without the factor ⅓.
Question 2 · 1 mark · Difficulty 2/3

An industrial silo consists of a cylinder of height 10 m and radius 4 m, with a cone on top of height 3 m and the same radius. Calculate the total volume of the silo.

  1. 160π m³
  2. 176π m³
  3. 528 m³
  4. 553 m³
Show answer & explanation
✓ Answer: D553 m³
Award 1 mark for correct method: Volume of cylinder = πr²h = π(4)²(10) = 160π. Volume of cone = ⅓πr²h = ⅓π(4)²(3) = 16π. Total = 160π + 16π = 176π ≈ 553 m³. A is incorrect — this calculates only the cylinder. B is incorrect — this gives 176π without evaluation. C is incorrect — arithmetic error in final calculation.
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CIE IGCSE Mathematics: Mensuration: Surface area and volume of pyramids, cones and spheres FAQ

How many CIE IGCSE Mathematics questions on Mensuration: Surface area and volume of pyramids, cones and spheres are there on Kramizo?
Kramizo currently has 20 exam-board-aligned practice questions on Mensuration: Surface area and volume of pyramids, cones and spheres 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 Mensuration: Surface area and volume of pyramids, cones and spheres 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 Mensuration: Surface area and volume of pyramids, cones and spheres 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 Mensuration: Surface area and volume of pyramids, cones and spheres typically tested on CIE IGCSE Mathematics papers?
Mensuration: Surface area and volume of pyramids, cones and spheres 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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