Class 10 – Mathematics (Simple Notes)
These notes are written in a simple and easy language, just like handmade notes.
Chapter 1: Real Numbers
• Euclid’s Division Lemma: a = bq + r, where 0 ≤ r < b
• HCF can be found using Euclid’s Division Algorithm.
• Fundamental Theorem of Arithmetic: Every number can be written as a product of primes.
Chapter 2: Polynomials
• Polynomial is an expression with variables and constants.
• Zero of a polynomial is the value of x for which polynomial becomes zero.
• Relationship between zeroes and coefficients is important for exams.
Chapter 3: Pair of Linear Equations in Two Variables
• General form: ax + by + c = 0
• Methods of solving: Substitution, Elimination, Cross-multiplication.
• Graphical method shows consistency of equations.
Chapter 4: Quadratic Equations
• Standard form: ax² + bx + c = 0
• Methods: Factorisation and Quadratic Formula.
• Nature of roots depends on discriminant (D = b² – 4ac).
Chapter 5: Arithmetic Progressions
• AP is a sequence where difference between terms is constant.
• nth term: an = a + (n – 1)d
• Sum of n terms: Sn = n/2 [2a + (n – 1)d]
— End of Notes —
These notes are written in a simple and easy language, just like handmade notes.
Chapter 1: Real Numbers
• Euclid’s Division Lemma: a = bq + r, where 0 ≤ r < b
• HCF can be found using Euclid’s Division Algorithm.
• Fundamental Theorem of Arithmetic: Every number can be written as a product of primes.
Chapter 2: Polynomials
• Polynomial is an expression with variables and constants.
• Zero of a polynomial is the value of x for which polynomial becomes zero.
• Relationship between zeroes and coefficients is important for exams.
Chapter 3: Pair of Linear Equations in Two Variables
• General form: ax + by + c = 0
• Methods of solving: Substitution, Elimination, Cross-multiplication.
• Graphical method shows consistency of equations.
Chapter 4: Quadratic Equations
• Standard form: ax² + bx + c = 0
• Methods: Factorisation and Quadratic Formula.
• Nature of roots depends on discriminant (D = b² – 4ac).
Chapter 5: Arithmetic Progressions
• AP is a sequence where difference between terms is constant.
• nth term: an = a + (n – 1)d
• Sum of n terms: Sn = n/2 [2a + (n – 1)d]
— End of Notes —
