# Important Questions for CBSE Class 10 Maths

The CBSE Math Important Questions Class 10 free PDF download is specifically designed for 10th class students to help them prepare for their board exams. This PDF also aims to provide assistance to the students who are preparing for competitive exams as well.

**Chapter wise Important Questions:**

Chapter 1 - Real Numbers

Chapter 2 - Polynomials

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

Chapter 9 - Some Applications of Trigonometry

Chapter 10 - Circles

Chapter 11 - Constructions

Chapter 12 - Areas Related to Circles

Chapter 13 - Surface Areas and Volumes

Chapter 14 - Statistics

Chapter 15 - Probability

**Some of the CBSE class 10th important questions based on NCERT syllabus for mathematics are given below:**

**Question 1.** Find the HCF and LCM of 306 and 54. Verify that HCF × LCM = Product of the two numbers.

**Question 2.** Prove that √3 is an irrational number.

**Question 3.** Solve the equations 20x + 12y = 45; 15x - 20y = 108.

**Question 4.** Use Euclid’s Lemma to show that square of any positive integer is of form 4q or 4q + 1 for some integer q.

**Question 5.** Seven years hence mother’s age will be 4 times age of her son. Seven years ago mother was nine times as old as her son. What is their present ages.

**Question 6.** On dividing 3x^4 – x + 10 by polynomials p(x), the quotient & remainder were 3x^3 + 3x^2 + 3x + 2 & 12 respectively. Find p(x).

**Question 7.** The difference between two numbers is 15 & the difference between their squares is 465. Whar are the numbers.

**Question 8.** If first term of an AP is 10 and nth term is 150, then find common difference.

**Question 9.** Solve: 2x^2 − 15x + 2 = 0. Use factorization method.

**Question 10.** Prove that opposite sides of a quadrilateral circumscribing a circle subtend supplementary angles at the centre of the circle.