NCERT Exemplar Problems Solutions Class 10 Maths PDF form free download. Now board for class 10 is restored. From * 2017 – 18 onward* the complete syllabus will be asked in final exam by CBSE Board. NCERT Exemplar books are also available to download. These exemplar problems solutions are updated for the CBSE examination 2017 – 2018. Also download sample papers, assignments, test papers,

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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
**