Important Questions for Class 10 Maths Chapter Wise

Chapter 1 : Real Numbers

Euclid’s division lemma, Fundamental Theorem of Arithmetic – statements after reviewing work done earlier and after illustrating and motivating through examples, Proofs of irrationality of √2, √3, √5. Decimal representation of rational numbers in terms of terminating / non-terminating recurring decimals.

Real Numbers CBSE Class 10 Extra Questions with Answers

Chapter 2 : Polynomials

Zeros of a polynomial. Relationship between zeros and coefficients of quadratic polynomials. Statement and simple problems on division algorithm for polynomials with real coefficients.

Polynomials Class 10 Maths Extra Questions with Answers

Chapter 3: Pair of Linear Equations in Two Variables

Pair of linear equations in two variables and graphical method of their solution, consistency/inconsistency. Algebraic conditions for number of solutions. Solutions of a pair of linear equations in two variables algebraically – by substitution, by elimination and by cross multiplication method. Simple situational problems. Simple problems on equations reducible to linear equations.

Pair of Linear Equations in two variables Class 10 Important Questions & Solutions

Linear Equations in two Variables Class 10 Questions

Chapter 4: Quadratic Equations

Standard form of a quadratic equation ax2 + bx + c = 0, (a ≠0). Solutions of quadratic equations (only real roots) by factorization and by using quadratic formula. Relationship between discriminant and nature of roots. Situational problems based on quadratic equations related to day to day activities to be incorporated.

Quadratic Equation Class 10 Maths Extra Questions

Quadratic Equations Problems for Class 10 Maths

Quadratic Equation Class 10 Important Questions & Solutions

Chapter 5: Arithmetic Progressions

Motivation for studying Arithmetic Progression, Derivation of the nth term and sum of the first n terms of A.P. and their application in solving daily life problems.

Arithmetic Progression HOTS Question for Class 10 Maths

Important Question Arithmetic Progression Class 10 Maths

Important Questions Arithmetic Progression Class 10 Solved

Chapter 6: Triangles

Definitions, examples, counter examples of similar triangles.

(Prove) If a line is drawn parallel to one side of a triangle to intersect the other two sides in distinct points, the other two sides are divided in the same ratio.
(Motivate) If a line divides two sides of a triangle in the same ratio, the line is parallel to the third side.
(Motivate) If in two triangles, the corresponding angles are equal, their corresponding sides are proportional and the triangles are similar.
(Motivate) If the corresponding sides of two triangles are proportional, their corresponding angles are equal and the two triangles are similar.
(Motivate) If one angle of a triangle is equal to one angle of another triangle and the sides including these angles are proportional, the two triangles are similar.
(Motivate) If a perpendicular is drawn from the vertex of the right angle of a right triangle to the hypotenuse, the triangles on each side of the perpendicular are similar to the whole triangle and to each other.
(Prove) The ratio of the areas of two similar triangles is equal to the ratio of the squares of their corresponding sides.
(Prove) In a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
(Prove) In a triangle, if the square of one side is equal to sum of the squares of the other two sides, the angle opposite to the first side is a right angle.

Chapter 7: Coordinate Geometry

Lines (In two-dimensions) Review: Concepts of co-ordinate geometry, graphs of linear equations. Distance formula. Section formula (internal division). Area of a triangle.

Coordinate Geometry Class 10 Maths Important Questions

Coordinate Geometry Class 10 Maths Extra Questions

Coordinate Geometry Class 10 Questions with Solutions

Coordinate Geometry Class 10 Extra Questions & Solutions

Chapter 8: Introduction to Trigonometry

Trigonometric ratios of an acute angle of a right-angled triangle. Proof of their existence (well defined); motivate the ratios whichever are defined at 00
and 900. Values of the trigonometric ratios of 30 , 45 and 60 degrees.

Trigonometry Questions for Class 10 Maths with Solutions

Chapter 9: Some Applications of Trigonometry

Heights and distances: Angle of elevation, Angle of Depression. Simple problems on heights and distances. Problems should not involve more than two right triangles. Angles of elevation / depression should be only 30, 45, 60 Degrees.

Extra Questions Class 10 Maths Some Application of Trigonometry

Applications of Trigonometry Class 10 Extra Questions with Solutions

Chapter 10: Circles

Tangent to a circle at point of contact

(Prove) The tangent at any point of a circle is perpendicular to the radius through the point of contact.
(Prove) The lengths of tangents drawn from an external point to a circle are equal.

Important Questions On Circles for Class 10 with Solutions

Questions on Circles for CBSE Class 10 Maths

Chapter 11: Constructions

Division of a line segment in a given ratio (internally).
Tangents to a circle from a point outside it.
Construction of a triangle similar to a given triangle.

Constructions Class 10 Important Questions and Answers

Chapter 12: Area Related to Circles

Motivate the area of a circle; area of sectors and segments of a circle. Problems based on areas and perimeter / circumference of the above said plane figures. (In calculating area of segment of a circle, problems should be restricted to central angle of 60º, 90º and 120º only. Plane figures involving triangles, simple quadrilaterals and circle should be taken.)

Chapter 13: Surface Areas and Volumes

Surface areas and volumes of combinations of any two of the following: cubes, cuboids, spheres, hemispheres and right circular cylinders / cones. Frustum of a cone. Problems involving converting one type of metallic solid into another and other mixed problems. (Problems with combination of not more than two different solids are taken.)

Surface Area and Volume Important Questions Class 10 CBSE

Questions on Surface Areas and Volumes Class 10 with Answers