Simplification – Complete Concept Guide
Sainik School Entrance Examination | Concept Notes + Video Classes
1️⃣ What is Simplification?
Simplification means reducing a mathematical expression into its simplest and correct form by applying the correct order of operations. It is one of the most important scoring topics in the Sainik School Mathematics section.
✔ Focus on speed + accuracy
✔ Avoid unnecessary long steps
✔ Apply correct operation order
2️⃣ BODMAS Rule
B – Brackets
O – Orders (Powers, Roots)
D – Division
M – Multiplication
A – Addition
S – Subtraction
⚠ Always solve from left to right for Division and Multiplication.
3️⃣ Important Simplification Tricks
(a + b)² = a² + 2ab + b²
(a − b)² = a² − 2ab + b²
(a + b)(a − b) = a² − b²
25 × 25 = 625
125 × 8 = 1000
Dividing by 5 → Multiply by 2 and divide by 10
✔ Learn square values till 30
✔ Learn cube values till 20
✔ Practice fraction to decimal conversions
4️⃣ Types of Questions Asked
- Basic arithmetic operations
- Fractions & decimals
- Brackets expressions
- Square & cube based problems
- Mixed operations
5️⃣ Why Important for Sainik School?
✔ 5–10 direct questions expected
✔ Improves speed for whole paper
✔ Base for Ratio, Profit & Loss, Percentage, Time & Work
