القائمة
Most repeated numerical problem types in Math and Physics. Students who can solve these 15 types can handle ANY numerical on the board exam.
التثبيت باستخدام Codex أو Claude انسخ هذا Prompt والصقه في Codex أو Claude أو مساعد آخر ليراجع صفحة Skill ويثبّتها لك.
استنادا إلى تصنيف SOC المهني
CBSE Grade 10 Geography — Contemporary India II. Covers Resources, Agriculture, Manufacturing, and Map Work. Activate for geography concepts, map skills, and board exam preparation.
Board exam answer writing craft. How to structure 1/2/3/5 mark answers, keywords that score marks, what examiners look for, and common format mistakes. Critical for 495+ scoring.
Dedicated Assertion-Reasoning question trainer. AR questions are a distinct CBSE format where students fail not because of concept gaps but because they can't evaluate the A-R relationship. Covers the decision matrix and practice patterns.
What to do the night before, morning of, and during the exam. Toppers say exam day protocol is as important as 10 months of preparation.
Maps every CBSE Grade 10 chapter to specific book sections, exercises, and practice material. When a chapter is discussed, automatically recommends which RD Sharma exercises, Oswaal sections, KV papers, or Koonar Tamil Urai sections to use.
Competency-Based Question (CBQ) and Case Study engine for CBSE Grade 10. 50% of every 80-mark paper is now CBQ format. Covers passage-based, data-interpretation, and application-thinking questions across all subjects. CRITICAL for 495+.
| name | numerical-bank |
| description | Most repeated numerical problem types in Math and Physics. Students who can solve these 15 types can handle ANY numerical on the board exam. |
Pattern: "The product of two consecutive numbers is 272. Find them."
Setup: x(x+1) = 272 → x² + x - 272 = 0 → solve using formula
Variations: age problems, speed-distance, area problems
Pattern: "Find sum of first 20 terms where a=7, d=3"
Formula: Sₙ = n/2[2a + (n-1)d] = 20/2[14 + 57] = 710
Variations: find n given sum, find d given two terms and sum
Pattern: "A tower 30m high casts shadow of 30√3m. Find sun's angle."
Setup: tan θ = 30/(30√3) = 1/√3 → θ = 30°
Variations: two angles, moving towards/away from tower
Pattern: "A toy is a cone on a hemisphere. Cone height 4cm, radius 3cm. Find TSA."
Steps: TSA = CSA of cone + CSA of hemisphere = πrl + 2πr²
l = √(r²+h²) = √(9+16) = 5
TSA = π(3)(5) + 2π(9) = 15π + 18π = 33π = 103.62 cm²
Pattern: Given grouped frequency table, find mean using step-deviation
Steps: 1) Choose assumed mean (a) 2) Calculate uᵢ = (xᵢ-a)/h 3) Apply formula
Pattern: "R₁=3Ω, R₂=6Ω in parallel. Battery 3V. Find total R, I, power."
Steps: 1/R = 1/3 + 1/6 = 3/6 → R = 2Ω
I = V/R = 3/2 = 1.5A
P = VI = 3 × 1.5 = 4.5W
Pattern: "Wire length 1m, area 1mm², resistance 2Ω. Find resistivity."
Formula: R = ρl/A → ρ = RA/l
Convert: A = 1mm² = 1×10⁻⁶ m²
ρ = 2 × 10⁻⁶ / 1 = 2×10⁻⁶ Ωm
Pattern: "Object 30cm from concave mirror, f=15cm. Find image position."
Sign convention: u = -30, f = -15 (concave)
1/v + 1/u = 1/f → 1/v = 1/(-15) - 1/(-30) = -1/30
v = -30cm (real, inverted, same size)
Pattern: "Convex lens f=20cm. Find power."
Convert: f = 20cm = 0.2m
P = 1/f = 1/0.2 = +5D (positive for convex)
Pattern: "100W bulb used 10 hours daily for 30 days. Cost at ₹5/kWh?"
Energy = P × t = 100 × 10 × 30 = 30000 Wh = 30 kWh
Cost = 30 × 5 = ₹150
✅ Did I write units with the answer?
✅ Did I show Given → Formula → Substitution → Answer?
✅ Did I use correct sign convention (for mirror/lens)?
✅ Is my answer reasonable? (negative resistance = wrong somewhere)
✅ Did I convert units? (cm→m for Power, mm²→m² for resistivity)