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IGCSE · Cambridge (CIE) · 0580

Mensuration mixed checkpoint

Sample mensuration skills and choose your next review.

What you will learn

  • Choose the requirements for your exam tier.
  • Explain each method before choosing an answer.
  • Follow a missed skill to its teaching lesson.

Check your reasoning across the pathway

Core has 12 questions; Extended has 13, including the frustum question. Work on paper before selecting an answer, then read the feedback. Changing tier starts a new attempt. Restarting repeats the same fixed questions. These questions sample taught skills; they do not cover the full range of exam questions.

These mixed questions use different data or contexts from the lesson checks. Explain the method before choosing an option, then try independent or transfer practice without revealing help. Sketch each shape, label the perpendicular or slant height as needed, and list only the surfaces requested. Written solutions are self-checked; these are not automatically marked exam responses.

Use a missed skill to plan a return

The review plan records first-attempt choices for this session and links the skills you missed to their lessons. Choose one useful review, close the worked answer and solve again from a blank page. Use that lesson's saved review choice to plan a later visit.

This practice check is not saved as an exam grade and does not mark lessons complete. Correct answers to this small sample do not establish mastery. Specialist review is incomplete. A full cumulative assessment remains separate work.

Mensuration checkpoint

Choose your tier

Changing tier starts a fresh attempt. This practice check is not saved as a grade or used to mark lessons complete.

Question 1 of 12 · Core and Extended

A container holds 0.0045 m³ of water. How many millilitres is this?

Put the idea to work

Worked example

A right cone has radius 5 cm and height 12 cm. Find volume and closed total area.

Show the worked solution
  1. Slant height is √(5² + 12²) = 13 cm.
  2. Volume is π × 25 × 12/3 = 100π cm³.
  3. Total area is π × 5 × 13 + π × 25 = 90π cm².

Answer 100π cm³; 90π cm².

Common mistakes

  • Selecting a remembered option without explaining the method.
  • Treating a sampled checkpoint as a full exam or saved grade.
Recall without your notes

What can you explain now?

What should you do after missing a skill in this check?

Compare with the explanation

Revisit its lesson and solve a fresh written problem without the answer visible.

Use the explanation to repair the method, then test retrieval rather than repeating a memorised answer.

After trying it yourself, choose your next review. This is your self-assessment.

Your review choice appears on Today. Sign in to sync it across devices.

Keep learning Mathematics

Course scope and assessment

Number contains 19 sequenced lessons; Algebra and graphs 21; Coordinate geometry 10; Geometry 15; Mensuration 13; Trigonometry 13; Transformations and vectors 11; Probability 7; Statistics 13. All 72 syllabus section entries now link to teaching and staged practice. Seven mixed checkpoints sample skills and suggest review lessons. Nine earlier overviews remain available. Full cumulative assessment and human teacher review remain pending. Written lesson practice, charts and constructions are self-checked, not automatically graded. Checkpoints do not save an exam grade or certify mastery.

StudyForA · Learn with understanding

Original teaching content and links to official sources. Check your exam year and qualification before using a resource.