Central Board of Secondary Education
Practice Question Paper — not an official CBSE document
Subject Code 041 · Set 2 of 3
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
D. Write three points from Probability in your own words; that is enough for a short-answer start
NoteWrite three points from Probability 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. a, a+d, a+2d, …
Notea, a+d, a+2d, …. The other options mix ideas from nearby topics or reverse the textbook fact.
B. Alternate segment if in your book
NoteAlternate segment if in your book. The other options mix ideas from nearby topics or reverse the textbook fact.
B. HCF is the product of smallest powers and LCM the product of greatest powers of common primes
NoteHCF is the product of smallest powers and LCM the product of greatest powers of common primes. The other options mix ideas from nearby topics or reverse the textbook fact.
D. 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 Areas Related to Circles
NoteMix MCQs with short answers so you remember both facts and explanations from Areas Related to Circles. The other options mix ideas from nearby topics or reverse the textbook fact.
A. Product of zeros = c/a
NoteProduct of zeros = c/a. The other options mix ideas from nearby topics or reverse the textbook fact.
C. Coordinate Geometry is an NCERT chapter taught in CBSE Class 10 Mathematics
NoteCoordinate Geometry is an NCERT chapter taught in CBSE Class 10 Mathematics. The other options mix ideas from nearby topics or reverse the textbook fact.
D. 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.
D. 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.
B. sin²θ+cos²θ=1
Notesin²θ+cos²θ=1. The other options mix ideas from nearby topics or reverse the textbook fact.
C. Ogive
NoteOgive. The other options mix ideas from nearby topics or reverse the textbook fact.
B. 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.
C. Write three points from Some Applications of Trigonometry in your own words; that is enough for a short-answer start
NoteWrite three points from Some Applications of Trigonometry 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. P(E) = n(E)/n(S) for equally likely outcomes
NoteP(E) = n(E)/n(S) for equally likely outcomes. The other options mix ideas from nearby topics or reverse the textbook fact.
C. d can be negative
Noted can be negative. 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.
D. HCF × LCM = product of two positive integers
NoteHCF × LCM = product of two positive integers. 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 · internal choice in 2 questions · 10 marks
1. Polynomials is an NCERT chapter taught in CBSE Class 10 Mathematics.
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. CBSE often tests a concept by asking a daily-life example from the same chapter.
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. Use the terms used in the NCERT book; do not replace them with unofficial names.
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. Inconsistent: no solution.
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. 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.
OR
1. cot, sec, csc as reciprocals.
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. Write three points from Areas Related to Circles 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.
Short Answer · Q26–31 · 3 marks each · internal choice in 2 questions · 18 marks
Every chapter ends with keywords or a summary that is useful for one-mark answers. 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.
Write three points from Quadratic Equations in your own words; that is enough for a short-answer start. 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.
Line of sight. 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.
Complementary events. 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
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.
OR — marking pointsMix MCQs with short answers so you remember both facts and explanations from Introduction to Trigonometry. Example: Use a situation from the NCERT activity or a labelled diagram in this chapter.
OR
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.
OR — marking pointsMode class. Example: Use a situation from the NCERT activity or a labelled diagram in this chapter.
Long Answer · Q32–35 · 5 marks each · internal choice in 2 questions · 20 marks
Real Numbers — Euclid’s algorithm finds HCF. 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.
Triangles — Areas of similar triangles ratio = square of sides ratio. 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
Areas Related to Circles — Areas Related to Circles is an NCERT chapter taught in CBSE Class 10 Mathematics. 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 pointsAccuracy — 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.
OR
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.
OR — marking pointsArithmetic Progressions — an = a+(n−1)d. 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 (1 + 1 + 2) · 12 marks
(i) Accuracy.
(ii) Use the terms used in the NCERT book; do not replace them with unofficial names.
(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) Surface Areas and Volumes.
(ii) Volume of sphere = 4/3 πr³.
(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) Pair of Linear Equations in Two Variables.
(ii) Cross-multiplication if your school still teaches it — check syllabus.
(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/ClassX_2025_26/MathsStandard-SQP.pdf
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