CBSE Class 10 Maths SQP 2027 — Case Study and Assertion Reason Solving Guide | Padhaao Blog

In short: CBSE released the official Class 10 Maths Sample Question Paper (SQP) with marking scheme on Sep 21, 2026 for the 2026-27 session. The paper has 38 questions across 5 sections (A-E) totalling 80 marks in 3 hours. CBSE has confirmed NO change in question paper design or assessment pattern — it follows the same 50% competency-based + 50% constructed response split as 2025-26. This guide breaks down every section with solving strategies, focuses deeply on Section E (case study) and assertion-reason questions, and maps which chapters appear where so you know exactly what to prepare.

SQP 2027 Structure at a Glance

Section	Question Type	No. of Questions	Marks per Q	Total Marks	Time to Spend
A	MCQs (Q1-Q18) + Assertion-Reason (Q19-Q20)	20	1	20	30 minutes
B	Very Short Answer (VSA)	5	2	10	15 minutes
C	Short Answer (SA)	6	3	18	30 minutes
D	Long Answer (LA)	4	5	20	40 minutes
E	Case-Based / Integrated	3	4	12	25 minutes
—	Total	38	—	80	~140 min + 40 min buffer

Note: The total paper time is 180 minutes (3 hours). The time allocation above uses ~140 minutes for writing, leaving ~40 minutes for reading, revision, and checking.

Section A — MCQs and Assertion-Reason (20 Marks)

What Section A Tests

Aspect	Details
Questions 1-18	Standard MCQs — 4 options, one correct
Questions 19-20	Assertion-Reason format — 4 standard options
Competency-based	Most MCQs are competency-based (application, not recall)
Chapter spread	Covers ALL chapters — each chapter has at least 1 MCQ
Difficulty	Easy to moderate — but competency-based MCQs can be tricky

MCQ Solving Strategy

Strategy	Why It Works
Read all 4 options before answering	Some options look correct at first glance but are traps
Eliminate obviously wrong options first	Narrowing to 2 options gives you a 50% chance even if you're unsure
Don't spend more than 1.5 minutes per MCQ	If stuck, mark your best guess and move on — revisit in buffer time
Watch for negative/exception words	"Which of the following is NOT…" — students miss the NOT
Check units in numerical MCQs	Wrong units = wrong option even if the number looks right

Assertion-Reason: The 4-Option Pattern

Every assertion-reason question in CBSE follows this exact format:

Option	Meaning
(a)	Both Assertion and Reason are correct, and Reason is the correct explanation of Assertion
(b)	Both Assertion and Reason are correct, but Reason is NOT the correct explanation of Assertion
(c)	Assertion is correct but Reason is wrong
(d)	Assertion is wrong but Reason is correct

How to Solve Assertion-Reason Questions

Step	Action	Example
Step 1	Read the Assertion independently — is it TRUE or FALSE?	"Every integer is a rational number" → TRUE
Step 2	Read the Reason independently — is it TRUE or FALSE?	"Every rational number is an integer" → FALSE
Step 3	If either is FALSE, answer is (c) or (d)	Assertion TRUE, Reason FALSE → Answer is (c)
Step 4	If BOTH are TRUE, check if the Reason EXPLAINS the Assertion	If yes → (a). If no → (b)

Common Assertion-Reason Mistakes

Mistake	How to Avoid
Assuming both must be related	Sometimes both are true but from completely different concepts — answer is (b)
Not evaluating each statement independently	Always check Assertion and Reason as separate claims first
Confusing "correct explanation" with "related topic"	The Reason must DIRECTLY explain WHY the Assertion is true
Rushing through — these are "easy 2 marks"	These are often the trickiest MCQs in the paper

Section B — Very Short Answers (10 Marks)

Aspect	Details
Questions	5 questions, 2 marks each
What it tests	Direct application — one concept per question
Answer length	2-4 lines or a small calculation
Internal choice	Yes — some questions have OR options
Key chapters	Real Numbers, Polynomials, Coordinate Geometry, Trigonometry, Probability

Section B Strategy

Strategy	Why
Show all steps even for 2-mark questions	Marking scheme awards 1 mark per step — skipping steps loses marks
Write the formula before substituting values	Examiners give 1 mark for correct formula even if calculation is wrong
Don't over-explain	2-mark answers need 2-3 steps maximum — not a paragraph
Use diagrams where applicable	Coordinate geometry questions benefit from a quick sketch

Section C — Short Answers (18 Marks)

Aspect	Details
Questions	6 questions, 3 marks each
What it tests	Multi-step problems requiring 3-4 steps
Answer length	Half a page
Internal choice	Yes
Key chapters	AP, Quadratic Equations, Triangles, Circles, Statistics

Section C Common Mistakes

Mistake	Marks Lost	Fix
Not stating the formula/theorem used	0.5-1 mark	Write "Using Pythagoras' theorem…" or "Since AP formula is…" before solving
Skipping "to prove" or "to find" statement	0.5 mark	Always state what you're finding/proving at the start
Calculation errors in AP/quadratic problems	1-2 marks	Double-check arithmetic — especially signs (+ / −)
Incomplete justification in Geometry proofs	1 mark	State the theorem/property name, don't just write the result

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Section D — Long Answers (20 Marks)

Aspect	Details
Questions	4 questions, 5 marks each
What it tests	Multi-concept problems, proofs, derivations
Answer length	One full page per question
Internal choice	Yes — each question has an OR option
Key chapters	Triangles (BPT), Trigonometry (applications), Surface Area & Volume, Statistics

Section D Time Strategy

Tip	Details
Spend 8-10 minutes per question	Total 40 minutes for Section D
Read both options (OR) before choosing	Pick the one you're more confident about
Draw diagrams for Geometry & Trig application questions	Diagram = 1 mark in most 5-mark questions
For "heights & distances" — draw the figure first, label all values	Then set up the trig ratio step-by-step

Section E — Case-Based Questions (12 Marks) — Deep Focus

Structure of Case-Based Questions

Element	Details
Number of questions	3 case-based questions
Marks each	4 marks (usually split as 1 + 1 + 2 or 1 + 2 + 1)
Format	A paragraph/situation with data, followed by 3 sub-questions
What it tests	Application of maths concepts to real-world scenarios
Diagram	Often includes an image, table, or figure

How to Read a Case Study Question

Step	What to Do	Why
1	Read the entire case ONCE without looking at sub-questions	Understand the context and scenario
2	Identify all numerical data given in the case	Underline or circle numbers, measurements, coordinates
3	Read sub-question (i) — identify which data you need	Most sub-questions use only SOME data from the case
4	Identify the formula or concept being tested	Is it coordinate geometry? AP? Probability?
5	Solve using the specific data from the case	Show calculation steps clearly
6	Repeat for sub-questions (ii) and (iii)	Later sub-questions may build on earlier answers

Types of Case Studies in the 2027 SQP

Case Study Theme	Maths Concept Tested	Typical Sub-Questions
Park/garden design (coordinates)	Coordinate Geometry	Find distance, midpoint, area of triangle
Construction project (heights)	Trigonometry (applications)	Find height, angle of elevation/depression
Survey data (statistics)	Statistics	Find mean, median, mode from grouped data
Sports tournament (probability)	Probability	Calculate P(event) from given data
Road/railway design (AP)	Arithmetic Progressions	Find nth term, sum, common difference

Case Study Solving Tips

Tip	Details
Don't panic if the case seems unfamiliar	The MATHS inside is always from your syllabus — the case is just a wrapper
Extract data into a separate list	Write: "Given: A(2,3), B(5,7), C(1,4)" — makes solving clearer
Each sub-question is often independent	Even if you can't solve (i), try (ii) and (iii) — they may not depend on (i)
Show formula + substitution + answer	For 2-mark sub-questions: formula (½ mark) + substitution (½ mark) + calculation (½ mark) + answer (½ mark)
Label your answers clearly	Write "Answer (i):", "Answer (ii):", "Answer (iii):" — examiners check fast

Chapter-Wise Appearance in 2027 SQP

Chapter	Section A (MCQ)	Section B (VSA)	Section C (SA)	Section D (LA)	Section E (Case)	Total Marks
Real Numbers	2 MCQs	1 Q	—	—	—	4
Polynomials	1 MCQ	1 Q	—	—	—	3
Pair of Linear Equations	1 MCQ	—	1 Q	—	—	4
Quadratic Equations	1 MCQ	—	1 Q	—	—	4
Arithmetic Progressions	2 MCQs	—	1 Q	—	1 Case Q	9
Triangles	1 MCQ + 1 AR	—	—	1 Q	—	7
Coordinate Geometry	1 MCQ	1 Q	—	—	1 Case Q	7
Trigonometry	2 MCQs	1 Q	1 Q	1 Q	—	10
Circles	1 MCQ	—	1 Q	—	—	4
Areas Related to Circles	1 MCQ	—	—	—	—	1
Surface Areas and Volumes	1 MCQ	—	—	1 Q	—	6
Statistics	2 MCQs	—	1 Q	1 Q	1 Case Q	10
Probability	1 MCQ + 1 AR	1 Q	—	—	—	4

For the complete chapter-wise marks breakdown and study priority, see our Class 10 Maths chapter-wise weightage guide.

Time Management Plan for the Full Paper

Phase	Time	What to Do
Reading time	15 minutes	Read the entire paper. Mark easy, medium, hard questions. Plan your order.
Section A (MCQs)	30 minutes	Solve all 20 MCQs. Don't leave any blank — no negative marking.
Section B (VSA)	15 minutes	Quick 2-mark answers. Show steps even if they seem obvious.
Section E (Case-based)	25 minutes	Solve case studies while fresh — they need careful reading.
Section C (SA)	30 minutes	3-mark answers. Show formula, substitution, calculation, answer.
Section D (LA)	40 minutes	5-mark answers. Draw diagrams. Write step-by-step.
Revision	25 minutes	Check MCQs first (easiest marks to lose). Recheck calculations.

Many students leave Section E for last and rush through it. That costs 12 marks. The strategy above solves case studies mid-paper when your concentration is still high. For a complete time management approach, read our 3-hour board exam time management guide.

Assessment Pattern Confirmation: 50-50 Split

CBSE has confirmed NO change in the assessment pattern for 2026-27. The 50-50 split remains:

Question Category	Percentage	What It Means
Competency-Based Questions	50% (40 marks)	MCQs, case-study, assertion-reason — tests APPLICATION
Constructed Response Questions	50% (40 marks)	VSA, SA, LA — tests knowledge + calculation + reasoning

This means you CANNOT pass just by memorising formulas. You need to practice applying them to unfamiliar situations. The expected questions list includes both competency-based and constructed-response type practice.

Passing Criteria Reminder

Criteria	Requirement
Minimum passing marks	33% overall (27 out of 80 in theory)
Internal assessment	20 marks (separate)
Total passing	33 out of 100 (theory + internal combined)

Frequently Asked Questions

Q1. How many assertion-reason questions are there in the Class 10 Maths SQP 2027? There are exactly 2 assertion-reason questions (Q19 and Q20) in Section A, worth 1 mark each. These are part of the 20-mark MCQ section. While only 2 marks, they are often the trickiest questions because students don't practice the 4-option evaluation process systematically.

Q2. Are case-study questions in Section E harder than the rest of the paper? Not harder in terms of maths — the actual calculations are usually easier than Section D long answers. They're challenging because you need to extract the right data from a paragraph and identify which formula to use. Practice reading data from passages and you'll find these are among the easiest 12 marks on the paper.

Q3. Has the SQP pattern changed from last year? No. CBSE officially confirmed that the 2026-27 question paper design and assessment pattern remain the same as 2025-26. The 38-question, 5-section, 80-mark format with 50% competency-based questions is unchanged. The SQP was released on Sep 21, 2026.

Q4. Which chapters carry the highest marks according to the SQP? Trigonometry and Statistics both carry approximately 10 marks each in the SQP, making them the highest-weighted chapters. Arithmetic Progressions and Coordinate Geometry follow with about 7-9 marks each. See the full chapter-wise breakdown in our weightage analysis.

Q5. Should I attempt Section E case studies before Section D long answers? Yes, we strongly recommend it. Case studies test simpler maths within a reading-comprehension wrapper — they reward careful reading, not complex calculations. Attempting them mid-paper (after MCQs and VSA) means you tackle them while your focus is sharp. Section D long answers need more brainpower, so save them for after case studies.

Q6. How closely will the actual 2027 board paper match this SQP? Based on historical data (2024-2026), about 65-70% of the actual paper matches the SQP in terms of question types, chapter weightage, and difficulty level. The specific questions and numerical values will change, but the structure stays the same. For detailed prediction data, see our SQP vs actual paper comparison.

NCERT Solutions — Step-by-Step

Need complete worked-out solutions for every NCERT exercise? NCERT Solutions for Class 10 Maths → — all 14 chapters with step-by-step answers, previous year questions, and MCQ practice.

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CBSE Class 10 Maths SQP 2027 — Case Study and Assertion Reason Solving Guide