Mathematics Handwritten Notes for Sarkari Exam Preparation ssc, railway, banking, state exam very usefull study notes
Mathematics Handwritten Notes for Sarkari Exam Preparation
download link of mathematics free notes is given bellow link
Mathematics Handwritten Notes for Sarkari Exam Preparation ssc, railway, banking, state exam very usefull study notes
1. Basic Arithmetic
- Addition (+): Combining numbers to get a sum.
- Subtraction (−): Determining the difference between two numbers.
- Multiplication (×): Repeated addition of the same number.
- Division (÷): Splitting a number into equal parts.
Key Formulas:
- a + b = Sum
- a – b = Difference
- a × b = Product
- a ÷ b = Quotient
2. Algebra
- Linear Equations: In the form of ( ax + b = 0 )
- Example: ( 2x + 3 = 7)
- Quadratic Equations: In the form of ( ax^2 + bx + c = 0 )
- Example: ( x^2 – 3x + 2 = 0 )
- Factors: ( (x – 1)(x – 2) = 0 )
Formulas:
- Roots of Quadratic Equation:
[ x = \frac{-b \pm \sqrt{b^2 – 4ac}}{2a} ]
3. Geometry
- Area Formulas:
- Square: ( A = s^2 )
- Rectangle: ( A = l \times b )
- Triangle: ( A = \frac{1}{2} \times b \times h )
- Circle: ( A = \pi r^2 )
- Perimeter Formulas:
- Square: ( P = 4s )
- Rectangle: ( P = 2(l + b) )
- Triangle: ( P = a + b + c )
Mathematics Handwritten Notes for Sarkari Exam Preparation ssc, railway, banking, state exam very usefull study notes
Important Theorems:
- Pythagorean Theorem: ( a^2 + b^2 = c^2 ) (in a right triangle)
4. Statistics
- Mean: Average of data.
- Formula: ( \text{Mean} = \frac{\text{Sum of observations}}{\text{Number of observations}} )
- Median: Middle value when data is ordered.
- Mode: Most frequently occurring value.
5. Probability
- Basic Probability Formula:
[ P(E) = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}} ] - Important Note: Probability ranges from 0 to 1.
6. Tips for Sarkari Exam Preparation
- Revise regularly: Make study schedules.
- Practice previous year’s question papers.
- Focus on important topics frequently asked in exams.
- Create mnemonic devices for formulas.
Mathematics Handwritten Notes for Sarkari Exam Preparation
Remember: Practice makes perfect! Try to solve different types of problems and manage your time well during the exam. Good luck! 📚✏️
These notes should help you reinforce your math knowledge while preparing for the Sarkari exam. Good luck!