Download Class 10 Maths: Important Questions for CBSE, ICSE, and State Boards and more High school final essays Mathematics in PDF only on Docsity!
The most important questions for Class 10 Maths depend on your syllabus (CBSE, ICSE, or State Board), but here are the most commonly asked types of questions across boards:
1. Real Numbers
โ Prove that โ2, โ3, and โ5 are irrational. โ Find the HCF and LCM of two numbers using the prime factorization method. โ Use Euclidโs Division Lemma to find the HCF of two numbers.
2. Polynomials
โ Find the zeroes of a quadratic polynomial and verify the relationship between coefficients and roots. โ Given one zero of a quadratic polynomial, find the other. โ Form a quadratic polynomial when its roots are given.
3. Pair of Linear Equations in Two Variables
โ Solve a pair of linear equations using: โ Substitution method โ Elimination method โ Cross-multiplication method โ Word problems based on linear equations (age, mixture, speed-distance-time, etc.).
4. Quadratic Equations
โ Solve quadratic equations using: โ Factorization method โ Quadratic formula โ Completing the square method โ Word problems involving quadratic equations.
5. Arithmetic Progressions (AP)
โ Find the n-th term of an AP. โ Find the sum of n terms of an AP. โ Word problems based on AP (real-life applications like savings, seating arrangements, etc.).
6. Coordinate Geometry
โ Find the distance between two points. โ Find the midpoint of a line segment. โ Use Section Formula to divide a line in a given ratio. โ Find the area of a triangle using the coordinate formula.
7. Triangles
โ Prove Basic Proportionality Theorem (Thalesโ theorem). โ Prove that the ratio of areas of two similar triangles is equal to the square of their corresponding sides. โ Apply Pythagoras Theorem in problems. โ Criteria for similarity of triangles (AA, SSS, SAS).
8. Circles
โ Prove that the tangent to a circle is perpendicular to the radius at the point of contact. โ Find the length of tangents from an external point. โ Solve problems based on two tangents drawn from an external point.
9. Constructions
โ Divide a line segment in a given ratio. โ Construct a tangent to a circle from an external point.
10. Trigonometry
โ Find trigonometric ratios in a right-angled triangle. โ Use trigonometric identities to simplify expressions.
