Class 10 Mathematics Important Questions
Real Numbers Important Questions
Real Numbers — Important Questions 1. Find the HCF and LCM of 96 and 404 and verify HCF LCM = product. 2. Prove that is irrational. 3. Express 156 as a product of its prime factor…
Polynomials Important Questions
Polynomials — Important Questions 1. Find the zeroes of and verify the relation with the coefficients. 2. Form a quadratic polynomial whose zeroes are 3 and . 3. If are zeroes of…
Pair of Linear Equations in Two Variables Important Questions
Pair of Linear Equations in Two Variables — Important Questions 1. Solve by substitution: , . 2. For what value of does , have infinitely many solutions? 3. Solve graphically: and…
Quadratic Equations Important Questions
Quadratic Equations — Important Questions 1. Solve by factorisation. 2. Find the discriminant of and the nature of the roots. 3. Solve using the quadratic formula. 4. Find if has…
Arithmetic Progressions Important Questions
Arithmetic Progressions — Important Questions 1. Find the 15th term of the AP: 3, 7, 11, ... 2. Find the sum of the first 20 terms of the AP: 2, 5, 8, ... 3. Which term of the AP…
Triangles Important Questions
Triangles — Important Questions 1. State and prove the Basic Proportionality (Thales) Theorem. 2. State the three criteria for similarity of triangles. 3. The areas of two similar…
Coordinate Geometry Important Questions
Coordinate Geometry — Important Questions 1. Find the distance between and . 2. Find the coordinates of the mid point of and . 3. Find the point dividing and in the ratio . 4. Fin…
Introduction to Trigonometry Important Questions
Introduction to Trigonometry — Important Questions 1. Evaluate . 2. Prove that . 3. If , find and . 4. Evaluate . 5. Prove that . 6. Find the value of .
Some Applications of Trigonometry Important Questions
Some Applications of Trigonometry — Important Questions 1. A tower casts a shadow such that the angle of elevation of the Sun is ; if the shadow is 20 m, find the height. 2. Defin…
Circles Important Questions
Circles — Important Questions 1. Prove that the tangent at any point of a circle is perpendicular to the radius. 2. Prove that the lengths of tangents from an external point are e…
Areas Related to Circles Important Questions
Areas Related to Circles — Important Questions 1. Find the area of a circle of radius 7 cm. 2. Find the area of a sector of angle in a circle of radius 6 cm. 3. Find the length of…
Surface Areas and Volumes Important Questions
Surface Areas and Volumes — Important Questions 1. A cone is mounted on a hemisphere of the same radius. Write the expression for the total surface area. 2. Find the volume of a f…
Statistics Important Questions
Statistics — Important Questions 1. Find the mean of a grouped frequency distribution (state the method). 2. Write the formula for the mode of grouped data. 3. Write the formula f…
Probability Important Questions
Probability — Important Questions 1. A die is thrown once. Find the probability of getting a number greater than 4. 2. A card is drawn from a well shuffled deck. Find the probabil…