NCERT Exemplar Problems Solutions Class 10 Maths PDF form free download. Summative Assessment 1 and Summative Assessment 2. NCERT Exemplar books are also available to download. These exemplar problems solutions are updated for the CBSE examination 2016 – 2017. Also download sample papers, assignments, test papers, * Board Papers*, notes, practice material and

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**NCERT solutions**

**Chapter 1: Real Numbers**

Given two positive integers a and b, there exist unique integers q and r satisfying a = bq + r, 0 ≤ r < b.**Euclid’s Division Lemma:**to obtain the HCF of two positive integers, say c and d, c > d.**Euclid’s Division Algorithm**Every composite number can be expressed as a product of primes, and this expression (factorisation) is unique, apart from the order in which the prime factors occur.**Fundamental Theorem of Arithmetic:**- Let p be a prime number. If p divides square of a, then p divides a, where a is a positive integer.
- Square root of 2, 3, 5 are irrational numbers.
- The sum or
*difference of a rational and an irrational*number is irrational. - The product or quotient of a non-zero rational number and an
*irrational number*is irrational. - For any two positive integers a and b,
(a, b) ×**HCF**(a, b) = a × b.**LCM**

**Chapter 2: Polynomials**

- Geometrical meaning of zeroes of a polynomial: The zeroes of a polynomial p(x) are precisely the x-coordinates of the points where the graph of y = p(x) intersects the x-axis.
- Relation between the zeroes and coefficients of a polynomial: If α and β are the zeroes of a quadratic polynomial ax2 + bx + c, then α + β = -b/a and αβ = c/a.
- The division algorithm states that given any polynomial p(x) and any non-zero polynomial g( x), there are polynomials q(x) and r(x) such that p(x) = g(x) q(x) + r(x), where r(x) = 0 or degree r(x) < degree g(x).

**Chapter 3: Pair of Linear Equations in Two Variables**

**Chapter 4: Quadratic Equations**

**Chapter 5: Arithmetic Progressions**

**Chapter 6: Triangles**

**Chapter 7: Coordinate Geometry**

**Chapter 8: Introduction to Trigonometry and its Applications**

**Chapter 9: Circles**

**Chapter 10: Constructions**

**Chapter 11: Area Related to Circles**

**Chapter 12: Surface Areas and Volumes**

**Chapter 13: Statistics and Probability
**