Math custom paper cbse

Custom CBSE 

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✍️ Author: [cbse examiner]
🌐 Source: Bcube

⚠️ Disclaimer: This information is for educational and awareness purposes only.

Main seedha aur safe boundary ke andar rahunga:

Tum 17 Feb 2026 ko Maths de rahe ho. Niche exactly wahi hai jo kaam aata hai

📐 CBSE CLASS 10 MATHS (COMPARTMENT) — SYSTEM ANALYSIS

🧠 PAPER-SETTER KA DNA (COMPARTMENT)

NCERT + Exemplar se uthta hai

Direct questions (twists kam)

Stepwise marking → formula likhne par marks

Har saal same chapter-weight cycle repeat hota hai

Compartment me:

Very Easy + Easy zyada

Tricky case-study kam

📊 PAPER STRUCTURE (STANDARD, 2024–26 TREND)
80 marks theory + 20 internal
Section Marks Type
A 1×10 MCQ
B 2×5 Short
C 3×6 Medium
D 4×5 Long
E 5×3 Long
F 5×2 Case-Study

👉 MCQ + Easy numericals = pass-safe + score-boost 

🔥 HIGH-WEIGHTAGE CHAPTERS (70%+ MARKS SOURCE)

Tier-1 (DON’T SKIP)

1. Real Numbers (Euclid + HCF/LCM)

2. Polynomials (zeros, relation)

3. Pair of Linear Equations (graph/substitution)

4. Quadratic Equations (formula, nature)

5. Arithmetic Progressions

6. Triangles (similarity)

7. Circles

8. Surface Areas & Volumes

9. Statistics

Tier-2 (Light but sure)

Trigonometry (identities + values)

Probability

Coordinate Geometry

♻️ RECYCLED QUESTION WORDINGS (EXACT STYLE)

“Find HCF using Euclid’s division algorithm”

“Find zeroes and verify relation”

“Solve by substitution method”

“Find nature of roots”

“Find nth term / sum of AP”

“Find radius / volume”

“Find mean by step deviation method”

“Find probability of

🎯 CBSE MATHS — FINAL PREDICTED MOCK (SAFE, ORIGINAL)

SECTION A — MCQs (10×1)

Q1. HCF of 135 and 225 is

Ans: 45

Q2. Zeroes of x²−5x+6 are

Ans: 2, 3

Q3. Nature of roots of x²+4x+5=0

Ans: No real roots

Q4. 10th term of AP: 2,5,8,…

Ans: 29

Q5. sin²45°+cos²45° =

Ans: 1

Q6. Distance between (0,0) and (3,4)

Ans: 5

Q7. Probability of getting head

Ans: 1/2

Q8. Radius if diameter = 14 cm

Ans: 7 cm

Q9. Mean of 2,4,6

Ans: 4

Q10. A number divisible by 2 and 3 is divisible by

Ans: 6

SECTION B — 2 MARKS (5)

Q11. Use Euclid’s algorithm to find HCF of 56, 72

Ans: 8

Q12. Find zeroes of x²−9

Ans: ±3

Q13. Find first term if a₃=7, d=2

Ans: 3

Q14. Find sin30°+cos60°

Ans: 1

Q15. Find probability of a tail

Ans: 1/2

SECTION C — 3 MARKS (6)

Q16. Find HCF of 306, 657

Ans: 9

Q17. Solve 2x+3y=11, x−y=1

Ans: x=2, y=3

Q18. Find roots of x²−7x+10

Ans: 2,5

Q19. Find 15th term of AP: 3,7,11,…

Ans: 59

Q20. Find area of circle (r=7 cm)

Ans: 154 cm²

Q21. Find mean of 1,2,3,4

Ans: 2.5

SECTION D — 4 MARKS (5)

Q22. Prove: √5 is irrational

Ans: Standard contradiction proof

Q23. Find zeroes of polynomial and verify relation

Ans: NCERT method

Q24. Solve quadratic using formula

Ans: Correct roots + steps

Q25. Find volume of sphere (r=7 cm)

Ans: 1437.33 cm³

Q26. Find probability of red ball

Ans: favourable/total

SECTION E — 5 MARKS (3)

Q27. Find HCF using Euclid’s algorithm (big numbers)

Q28. Find sum of first 20 terms of AP

Q29. Find mean using step deviation

(Answers: standard NCERT)

SECTION F — CASE STUDY (2×5)

Q30–31. AP-based word problem

Q32–33. Statistics table (mean)

Q34–35. Surface area/volume

🧠 COMPARTMENT-SAFE STRATEGY (VERY IMPORTANT)

Attempt Order

1. Section A (MCQs) — confidence boost

2. AP / Quadratic

3. Statistics / Mensuration

4. Proofs last

Marks Hack

Formula likho = marks

Diagram banao = marks

Answer galat ho, steps sahi = partial marks

🎯 FINAL TRUTH : Pass

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📐 CBSE CLASS 10 MATHS

🔥 ANALYSIS WING PREDICTED PAPER 2026

(Strictly NCERT Based | Most Probable Pattern)

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SECTION A (1×10 = 10 MARKS)

Q1. HCF of 306 and 657 is?

Using Euclid’s Algorithm:

657 = 306 × 2 + 45
306 = 45 × 6 + 36
45 = 36 × 1 + 9
36 = 9 × 4 + 0

👉 HCF = 9

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Q2. Zeroes of x² − 5x + 6?

Factorization:

x² − 5x + 6
= x² − 2x − 3x + 6
= x(x − 2) − 3(x − 2)
= (x − 2)(x − 3)

👉 Zeroes = 2, 3

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Q3. Nature of roots of x² + 4x + 5?

D = b² − 4ac
= 16 − 20 = −4

Since D < 0
👉 No real roots

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Q4. 10th term of AP: 2, 5, 8…

a = 2
d = 3

a₁₀ = a + (n−1)d
= 2 + 9×3
= 29

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Q5. sin²45° + cos²45° =

= ½ + ½ = 1

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Q6. Distance between (0,0) & (3,4)?

= √(3² + 4²)
= √25
= 5

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Q7. Probability of head (fair coin)

= 1/2

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Q8. Volume of cube (side 3 cm)?

= a³ = 27 cm³

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Q9. Mean of 2, 4, 6?

= 12/3 = 4

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Q10. If two numbers are divisible by 2 & 3, they are divisible by?

LCM(2,3) = 6

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SECTION B (2 MARKS EACH)

Q11. Use Euclid’s algorithm to find HCF of 56 & 72

72 = 56×1 + 16
56 = 16×3 + 8
16 = 8×2 + 0

👉 HCF = 8

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Q12. Find zeroes of x² − 9

= (x − 3)(x + 3)
👉 ±3

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Q13. Find first term if a₃ = 7, d = 2

a₃ = a + 2d
7 = a + 4
a = 3

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Q14. sin30° + cos60°

= ½ + ½
= 1

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Q15. Probability of getting even number (1–6 die)

Even numbers: 2,4,6
= 3/6 = 1/2

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SECTION C (3 MARKS)

Q16. Solve:

2x + 3y = 11
x − y = 1

x = y + 1

Substitute:

2(y+1) + 3y = 11
2y + 2 + 3y = 11
5y = 9
y = 9/5

x = 14/5

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Q17. Find roots of x² − 7x + 10

D = 49 − 40 = 9

x = (7 ± 3)/2

👉 5, 2

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Q18. 15th term of AP: 3, 7, 11…

a=3
d=4

a₁₅ = 3 + 14×4
= 59

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Q19. Area of circle (r=7 cm)

= πr²
= 22/7 × 49
= 154 cm²

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Q20. Mean of 1,2,3,4

= 10/4 = 2.5

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SECTION D (4 MARKS)

Q21. Prove √5 is irrational

Assume √5 = p/q
Square both sides
5q² = p²

Implies p divisible by 5
Let p=5k

Substitute → contradiction
Hence irrational.

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Q22. Solve quadratic by formula

x² − 3x − 4 = 0

D = 9 + 16 = 25

x = (3 ± 5)/2

= 4, −1

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Q23. Find sum of first 20 terms of AP

3,7,11…

a=3, d=4

Sₙ = n/2 [2a+(n−1)d]

S₂₀ = 10[6 + 76]
= 10×82
= 820

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Q24. Volume of sphere (r=7)

= 4/3 π r³
= 4/3 × 22/7 × 343
= 1437.33 cm³

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🎯 FINAL EXAM ANALYSIS

If CBSE follows trend:

• AP (sure 8–10 marks)
• Quadratic (6–8 marks)
• Statistics (5–8 marks)
• Surface area (6–8 marks)
• Real numbers (4–6 marks)

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📌 WHAT YOU SHOULD DO NOW

1. Solve this paper without looking.
2. Make error notebook.
3. Revise:
   • AP formulas
   • Quadratic formula
   • Statistics mean formula
   • Surface area formulas

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Swarup you can do it ✅

📘 CBSE CLASS 10 MATHS

🔥 ONE-PAGE FORMULA BOOSTER (COMPARTMENT FOCUS)

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1️⃣ REAL NUMBERS

Euclid’s Division Lemma:

, 

HCF × LCM = Product of two numbers

Fundamental Theorem of Arithmetic:

Every composite number = product of primes (unique factorisation)

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2️⃣ POLYNOMIALS

For 

Sum of zeroes = 

Product of zeroes = 

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3️⃣ PAIR OF LINEAR EQUATIONS

For

Unique solution:

No solution:

Infinite solutions:

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4️⃣ QUADRATIC EQUATIONS

Standard form: 

Discriminant (D):

Quadratic Formula:

Nature of Roots:

D > 0 → Real & distinct

D = 0 → Real & equal

D < 0 → No real roots

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5️⃣ ARITHMETIC PROGRESSIONS (AP)

nth term:

Sum of n terms:

Also:

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6️⃣ TRIANGLES (SIMILARITY)

Basic Proportionality Theorem:

If a line ∥ one side → divides other two sides in same ratio

Pythagoras Theorem:

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7️⃣ TRIGONOMETRY

Standard Values

θ sinθ cosθ tanθ

0° 0 1 0

30° 1/2 √3/2 1/√3

45° 1/√2 1/√2 1

60° √3/2 1/2 √3

90° 1 0 Not defined

Identity:

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8️⃣ COORDINATE GEOMETRY

Distance Formula:

Section Formula:

Area of Triangle:

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9️⃣ CIRCLES

Tangent ⟂ Radius at point of contact

From external point: Tangent lengths are equal

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🔟 SURFACE AREAS & VOLUMES

Cube:

Volume = 

TSA = 

Cuboid:

Volume = 

Cylinder:

Volume = 

CSA = 

Cone:

Volume = 

Slant height = 

Sphere:

Volume = 

Surface Area = 

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1️⃣1️⃣ STATISTICS

Mean (Direct Method):

Step Deviation Method:

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1️⃣2️⃣ PROBABILITY

0 ≤ P(E) ≤ 1

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🎯 LAST 10-MINUTE REMEMBER THIS:

1. Quadratic Formula

2. AP nth term + Sum formula

3. Surface/Volume formulas

4. Statistics mean formula

5. Trigonometric identity

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Isko 2–3 baar revise karo —

Exam me direct 40–50 marks isi sheet se secure hote hain.

Agar chaho to next:

🔥 2-Hour Night Revision Plan

🔥 30 MCQ Rapid Fire

🔥 5 Most Important 5-Mark Questions

Bolo.