Class 10 Mathematics Surface Areas and Volumes Most Important Questions
Most Important Questions for Class 10 Mathematics Surface Areas and Volumes. Try first, then reveal the answer. These are exam-oriented practice items, not copied board papers.
Practice questions aligned to NCERT topics used in CBSE classrooms. These are original exam-oriented questions for revision — not official CBSE board papers and not a guarantee of any exam question. Always match the textbook issued by your school and the latest PDFs on ncert.nic.in and cbseacademic.nic.in.
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Practice set
Q1MCQ1 markEasyRevision pick
Choose the correct statement related to Surface Areas and Volumes in the chapter Surface Areas and Volumes.
A. CSA, TSA, volume of cone, sphere, cylinder, frustum if included
B. CBSE often tests a concept by asking a daily-life example from the same chapter
C. Surface Areas and Volumes is an NCERT chapter taught in CBSE Class 10 Mathematics
D. Cone V = ⅓ πr²h
Answer
A. CSA, TSA, volume of cone, sphere, cylinder, frustum if included
Explanation
CSA, TSA, volume of cone, sphere, cylinder, frustum if included. The other options mix ideas from nearby topics or reverse the textbook fact.
Meta
Class: Class 10 · Subject: Mathematics · Chapter: Surface Areas and Volumes · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q5MCQ1 markModerateRevision pick
Choose the correct statement related to Surface Areas and Volumes in the chapter Surface Areas and Volumes.
A. Read the definitions, diagrams and solved examples in the NCERT textbook before practising extra questions
B. Use the same π throughout
C. Mix MCQs with short answers so you remember both facts and explanations from Surface Areas and Volumes
D. If the chapter has a diagram, practise labelling it — many school tests ask for labelled figures
Answer
B. Use the same π throughout
Explanation
Use the same π throughout. The other options mix ideas from nearby topics or reverse the textbook fact.
Meta
Class: Class 10 · Subject: Mathematics · Chapter: Surface Areas and Volumes · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q9MCQ1 markEasyRevision pick
Choose the correct statement related to Examples in the chapter Surface Areas and Volumes.
A. Write three points from Surface Areas and Volumes in your own words; that is enough for a short-answer start
B. This idea is not part of the NCERT chapter
C. CBSE often tests a concept by asking a daily-life example from the same chapter
D. CSA, TSA, volume of cone, sphere, cylinder, frustum if included
Answer
C. CBSE often tests a concept by asking a daily-life example from the same chapter
Explanation
CBSE often tests a concept by asking a daily-life example from the same chapter. The other options mix ideas from nearby topics or reverse the textbook fact.
Meta
Class: Class 10 · Subject: Mathematics · Chapter: Surface Areas and Volumes · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q13MCQ1 markEasyRevision pick
Choose the correct statement related to Practice in the chapter Surface Areas and Volumes.
A. The textbook says the opposite of this statement
B. Mix MCQs with short answers so you remember both facts and explanations from Surface Areas and Volumes
C. Use the same π throughout
D. Volume of sphere = 4/3 πr³
Answer
B. Mix MCQs with short answers so you remember both facts and explanations from Surface Areas and Volumes
Explanation
Mix MCQs with short answers so you remember both facts and explanations from Surface Areas and Volumes. The other options mix ideas from nearby topics or reverse the textbook fact.
Meta
Class: Class 10 · Subject: Mathematics · Chapter: Surface Areas and Volumes · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q17MCQ1 markEasyRevision pick
Choose the correct statement related to Surface Areas and Volumes in the chapter Surface Areas and Volumes.
A. Cone V = ⅓ πr²h
B. Melted and recast problems keep volume constant
C. Read the definitions, diagrams and solved examples in the NCERT textbook before practising extra questions
D. If the chapter has a diagram, practise labelling it — many school tests ask for labelled figures
Answer
B. Melted and recast problems keep volume constant
Explanation
Melted and recast problems keep volume constant. The other options mix ideas from nearby topics or reverse the textbook fact.
Meta
Class: Class 10 · Subject: Mathematics · Chapter: Surface Areas and Volumes · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q413 Mark3 marksModerateRevision pick
Explain Surface Areas and Volumes in about three points, with one example.
Answer
Volume of sphere = 4/3 πr³. Example: Use a situation from the NCERT activity or a labelled diagram in this chapter.
Explanation
Three-mark questions want a short explanation, not a full essay. Link the idea to a figure or an activity.
Meta
Class: Class 10 · Subject: Mathematics · Chapter: Surface Areas and Volumes · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q453 Mark3 marksModerateRevision pick
Explain Surface Areas and Volumes in about three points, with one example.
Answer
Surface Areas and Volumes is an NCERT chapter taught in CBSE Class 10 Mathematics. Example: Use a situation from the NCERT activity or a labelled diagram in this chapter.
Explanation
Three-mark questions want a short explanation, not a full essay. Link the idea to a figure or an activity.
Meta
Class: Class 10 · Subject: Mathematics · Chapter: Surface Areas and Volumes · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q575 Mark5 marksDifficultRevision pick
Write a long answer on Surface Areas and Volumes. Include definition, explanation and one application.
Answer
Surface Areas and Volumes — Use the same π throughout. Explain the idea in order (definition → working → result). End with one application from daily life or a numerical/diagram if the chapter has one.
Explanation
Long answers are marked for structure. Use headings or numbered steps so the examiner can see each part.
Meta
Class: Class 10 · Subject: Mathematics · Chapter: Surface Areas and Volumes · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q69Case Based4 marksModerateRevision pick
A student is revising Surface Areas and Volumes and notes: “Melted and recast problems keep volume constant.” Using this case, answer: (i) Name the idea. (ii) State it in your own words. (iii) Give one classroom or daily-life use.
Answer
(i) Surface Areas and Volumes.
(ii) Melted and recast problems keep volume constant.
(iii) Apply it in a school experiment, a labelled diagram, or a situation described in the NCERT chapter.
Explanation
Case-based items recycle a short story. Pull the fact out first, then apply it. This is original practice in CBSE case style — not a copied board paper.
Meta
Class: Class 10 · Subject: Mathematics · Chapter: Surface Areas and Volumes · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q73Case Based4 marksModerateRevision pick
A student is revising Surface Areas and Volumes and notes: “Every chapter ends with keywords or a summary that is useful for one-mark answers.” Using this case, answer: (i) Name the idea. (ii) State it in your own words. (iii) Give one classroom or daily-life use.
Answer
(i) Keywords.
(ii) Every chapter ends with keywords or a summary that is useful for one-mark answers.
(iii) Apply it in a school experiment, a labelled diagram, or a situation described in the NCERT chapter.
Explanation
Case-based items recycle a short story. Pull the fact out first, then apply it. This is original practice in CBSE case style — not a copied board paper.
Meta
Class: Class 10 · Subject: Mathematics · Chapter: Surface Areas and Volumes · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q77Competency Based3 marksModerateRevision pick
Competency practice: A classmate can recall the heading Accuracy but cannot explain it. How will you teach it in two steps using the textbook idea?
Answer
Step 1: State the fact — Use the terms used in the NCERT book; do not replace them with unofficial names. Step 2: Show one example or diagram from the chapter and ask the classmate to repeat it in their own words.
Explanation
Competency-based items check whether you can use a concept, not only name it. Teach-back is a simple way to prove understanding.
Meta
Class: Class 10 · Subject: Mathematics · Chapter: Surface Areas and Volumes · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q81Competency Based3 marksDifficultRevision pick
Competency practice: A classmate can recall the heading Surface Areas and Volumes but cannot explain it. How will you teach it in two steps using the textbook idea?
Answer
Step 1: State the fact — Cone V = ⅓ πr²h. Step 2: Show one example or diagram from the chapter and ask the classmate to repeat it in their own words.
Explanation
Competency-based items check whether you can use a concept, not only name it. Teach-back is a simple way to prove understanding.
Meta
Class: Class 10 · Subject: Mathematics · Chapter: Surface Areas and Volumes · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q93HOTS3 marksDifficultRevision pick
HOTS: If someone ignored the idea “Volume of sphere = 4/3 πr³”, what mistake could they make while solving a question from Surface Areas and Volumes?
Answer
They would use the wrong term or the reverse relation. Remember: Volume of sphere = 4/3 πr³. Always check the NCERT definition before jumping to a formula or a long explanation.
Explanation
HOTS items ask you to predict an error. That is still chapter revision — not a claim that this exact wording will appear in the board exam.
Meta
Class: Class 10 · Subject: Mathematics · Chapter: Surface Areas and Volumes · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
FAQs
Are these official CBSE board questions?
No. They are original practice questions aligned to NCERT topics used in CBSE classrooms. Official sample papers are published on cbseacademic.nic.in.
Will these questions appear in the board exam?
Nobody can promise a question. Use them for revision of frequently tested concepts and exam-style practice.
Is the chapter list the latest NCERT list?
Yes, the catalog follows current NCERT textbooks used in CBSE schools (including new middle-stage books such as Ganita Prakash and Curiosity). Always match the book issued by your school.
How should I use the 100 questions?
Try the question first, then tap Show answer. Mix MCQs with long answers. Revise formulas and diagrams from the textbook alongside this set.
Where are NCERT solutions?
Open the NCERT-style practice link on this subject or chapter. For word-for-word textbook exercise answers, use the NCERT book itself; we do not copy solution keys from other websites.
What is the suggested URL pattern?
Hub /cbse/, then /cbse/class-10/, then subject and chapter slugs.
Why is this a separate URL?
So students searching for “Most Important Questions” land on a filtered set, while the chapter page remains the full 100-question bank. Same facts, different search intent.
Today's 3-step path
Follow this loop every day: mixed test, current affairs, then today's subject. A new set arrives tomorrow.