Central Board of Secondary Education
Practice Question Paper — not an official CBSE document
Subject Code 041 · Set 1 of 3
Theory 80 + internal assessment 20.
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.
Objective type (MCQ and Assertion–Reason) · Q1–20 · 1 mark each · 20 marks
A. Read the definitions, diagrams and solved examples in the NCERT textbook before practising extra questions
NoteRead the definitions, diagrams and solved examples in the NCERT textbook before practising extra questions. The other options mix ideas from nearby topics or reverse the textbook fact.
B. If the chapter has a diagram, practise labelling it — many school tests ask for labelled figures
NoteIf the chapter has a diagram, practise labelling it — many school tests ask for labelled figures. The other options mix ideas from nearby topics or reverse the textbook fact.
D. Mix MCQs with short answers so you remember both facts and explanations from Relations and Functions
NoteMix MCQs with short answers so you remember both facts and explanations from Relations and Functions. The other options mix ideas from nearby topics or reverse the textbook fact.
B. Increasing/decreasing
NoteIncreasing/decreasing. The other options mix ideas from nearby topics or reverse the textbook fact.
B. Three Dimensional Geometry is an NCERT chapter taught in CBSE Class 12 Mathematics
NoteThree Dimensional Geometry is an NCERT chapter taught in CBSE Class 12 Mathematics. The other options mix ideas from nearby topics or reverse the textbook fact.
B. CBSE often tests a concept by asking a daily-life example from the same chapter
NoteCBSE 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.
B. Use the terms used in the NCERT book; do not replace them with unofficial names
NoteUse the terms used in the NCERT book; do not replace them with unofficial names. The other options mix ideas from nearby topics or reverse the textbook fact.
C. Bayes theorem
NoteBayes theorem. The other options mix ideas from nearby topics or reverse the textbook fact.
A. Second order derivatives
NoteSecond order derivatives. The other options mix ideas from nearby topics or reverse the textbook fact.
C. Every chapter ends with keywords or a summary that is useful for one-mark answers
NoteEvery chapter ends with keywords or a summary that is useful for one-mark answers. The other options mix ideas from nearby topics or reverse the textbook fact.
D. Write three points from Inverse Trigonometric Functions in your own words; that is enough for a short-answer start
NoteWrite three points from Inverse Trigonometric Functions in your own words; that is enough for a short-answer start. The other options mix ideas from nearby topics or reverse the textbook fact.
C. Anti-derivative
NoteAnti-derivative. The other options mix ideas from nearby topics or reverse the textbook fact.
B. Corner-point method
NoteCorner-point method. The other options mix ideas from nearby topics or reverse the textbook fact.
C. Read the definitions, diagrams and solved examples in the NCERT textbook before practising extra questions
NoteRead the definitions, diagrams and solved examples in the NCERT textbook before practising extra questions. The other options mix ideas from nearby topics or reverse the textbook fact.
A. If the chapter has a diagram, practise labelling it — many school tests ask for labelled figures
NoteIf the chapter has a diagram, practise labelling it — many school tests ask for labelled figures. The other options mix ideas from nearby topics or reverse the textbook fact.
A. Mix MCQs with short answers so you remember both facts and explanations from Relations and Functions
NoteMix MCQs with short answers so you remember both facts and explanations from Relations and Functions. The other options mix ideas from nearby topics or reverse the textbook fact.
C. Increasing/decreasing
NoteIncreasing/decreasing. The other options mix ideas from nearby topics or reverse the textbook fact.
A. Three Dimensional Geometry is an NCERT chapter taught in CBSE Class 12 Mathematics
NoteThree Dimensional Geometry is an NCERT chapter taught in CBSE Class 12 Mathematics. The other options mix ideas from nearby topics or reverse the textbook fact.
A. Both A and R are true, and R is the correct explanation of A.
NoteRead Assertion and Reason separately first. Here both match the textbook idea, and R explains why A is taught in this chapter.
A. Both A and R are true, and R is the correct explanation of A.
NoteRead Assertion and Reason separately first. Here both match the textbook idea, and R explains why A is taught in this chapter.
Very Short Answer · Q21–25 · 2 marks each · 10 marks
1. Bayes theorem.
2. Keep the NCERT wording and add one daily-life example from the same chapter.
Two-mark answers work best as two numbered points. One definition plus one example is usually enough.
1. Second order derivatives.
2. Keep the NCERT wording and add one daily-life example from the same chapter.
Two-mark answers work best as two numbered points. One definition plus one example is usually enough.
1. Every chapter ends with keywords or a summary that is useful for one-mark answers.
2. Keep the NCERT wording and add one daily-life example from the same chapter.
Two-mark answers work best as two numbered points. One definition plus one example is usually enough.
OR
1. Write three points from Inverse Trigonometric Functions in your own words; that is enough for a short-answer start.
2. Keep the NCERT wording and add one daily-life example from the same chapter.
Two-mark answers work best as two numbered points. One definition plus one example is usually enough.
OR — marking points1. Corner-point method.
2. Keep the NCERT wording and add one daily-life example from the same chapter.
OR
1. Anti-derivative.
2. Keep the NCERT wording and add one daily-life example from the same chapter.
Two-mark answers work best as two numbered points. One definition plus one example is usually enough.
OR — marking points1. Read the definitions, diagrams and solved examples in the NCERT textbook before practising extra questions.
2. Keep the NCERT wording and add one daily-life example from the same chapter.
Short Answer · Q26–31 · 3 marks each · 18 marks
Corner-point method. Example: Use a situation from the NCERT activity or a labelled diagram in this chapter.
NoteThree-mark questions want a short explanation, not a full essay. Link the idea to a figure or an activity.
Read the definitions, diagrams and solved examples in the NCERT textbook before practising extra questions. Example: Use a situation from the NCERT activity or a labelled diagram in this chapter.
NoteThree-mark questions want a short explanation, not a full essay. Link the idea to a figure or an activity.
If the chapter has a diagram, practise labelling it — many school tests ask for labelled figures. Example: Use a situation from the NCERT activity or a labelled diagram in this chapter.
NoteThree-mark questions want a short explanation, not a full essay. Link the idea to a figure or an activity.
Mix MCQs with short answers so you remember both facts and explanations from Relations and Functions. Example: Use a situation from the NCERT activity or a labelled diagram in this chapter.
NoteThree-mark questions want a short explanation, not a full essay. Link the idea to a figure or an activity.
OR
Increasing/decreasing. Example: Use a situation from the NCERT activity or a labelled diagram in this chapter.
NoteThree-mark questions want a short explanation, not a full essay. Link the idea to a figure or an activity.
OR — marking pointsCBSE often tests a concept by asking a daily-life example from the same chapter. Example: Use a situation from the NCERT activity or a labelled diagram in this chapter.
OR
Three Dimensional Geometry is an NCERT chapter taught in CBSE Class 12 Mathematics. Example: Use a situation from the NCERT activity or a labelled diagram in this chapter.
NoteThree-mark questions want a short explanation, not a full essay. Link the idea to a figure or an activity.
OR — marking pointsUse the terms used in the NCERT book; do not replace them with unofficial names. Example: Use a situation from the NCERT activity or a labelled diagram in this chapter.
Long Answer · Q32–35 · 5 marks each · 20 marks
Examples — CBSE often tests a concept by asking a daily-life example from the same chapter. Explain the idea in order (definition → working → result). End with one application from daily life or a numerical/diagram if the chapter has one.
NoteLong answers are marked for structure. Use headings or numbered steps so the examiner can see each part.
Accuracy — Use the terms used in the NCERT book; do not replace them with unofficial names. Explain the idea in order (definition → working → result). End with one application from daily life or a numerical/diagram if the chapter has one.
NoteLong answers are marked for structure. Use headings or numbered steps so the examiner can see each part.
OR
Probability — Bayes theorem. Explain the idea in order (definition → working → result). End with one application from daily life or a numerical/diagram if the chapter has one.
NoteLong answers are marked for structure. Use headings or numbered steps so the examiner can see each part.
OR — marking pointsKeywords — Every chapter ends with keywords or a summary that is useful for one-mark answers. Explain the idea in order (definition → working → result). End with one application from daily life or a numerical/diagram if the chapter has one.
OR
Continuity and Differentiability — Second order derivatives. Explain the idea in order (definition → working → result). End with one application from daily life or a numerical/diagram if the chapter has one.
NoteLong answers are marked for structure. Use headings or numbered steps so the examiner can see each part.
OR — marking pointsRevision — Write three points from Inverse Trigonometric Functions in your own words; that is enough for a short-answer start. Explain the idea in order (definition → working → result). End with one application from daily life or a numerical/diagram if the chapter has one.
Case-study based · Q36–38 · 4 marks each · 12 marks
(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.
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.
(i) Revision.
(ii) Write three points from Inverse Trigonometric Functions in your own words; that is enough for a short-answer start.
(iii) Apply it in a school experiment, a labelled diagram, or a situation described in the NCERT chapter.
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.
(i) Integrals.
(ii) Anti-derivative.
(iii) Apply it in a school experiment, a labelled diagram, or a situation described in the NCERT chapter.
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.
*** End of paper ***
No. The layout (sections, question numbers, marks and time) follows the 2025-26 sample paper. The questions are original GKSchools practice.
MCQ, assertion–reason and reading MCQ parts are auto-scored when you submit. Written answers are for self-check against the key.
Download it from CBSE Academic: https://cbseacademic.nic.in/web_material/SQP/ClassXII_2025_26/Maths-SQP.pdf
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