Class 10th maths imp questions for SSLC students 😄🙀

 For Class 10th SSLC (Secondary School Leaving Certificate) Maths, the key topics and important questions often revolve around concepts that are frequently tested in exams. Here are some important areas with sample questions:


1. Algebra


Polynomials:


Find the value of when .


If has roots 3 and -4, find the values of and .



Quadratic Equations:


Solve the quadratic equation using the quadratic formula.


Find the roots of .




2. Geometry


Triangles:


Prove that the sum of the angles of a triangle is 180°.


If the two sides of a triangle are in the ratio 3:4 and the included angle is 90°, find the length of the third side.



Circles:


Prove that the tangents drawn at the ends of a diameter of a circle are perpendicular to each other.


Find the length of a tangent from an external point 10 cm away from the center of a circle with radius 6 cm.



Coordinate Geometry:


Find the distance between points and .


Find the area of the triangle formed by points .




3. Trigonometry


Trigonometric Ratios:


If , find the value of and .


Prove that .



Height and Distance:


A person standing on a 50 m high tower observes the angle of depression of a car as 30°. Find the distance of the car from the base of the tower.




4. Mensuration


Surface Areas and Volumes:


Find the surface area of a cone with radius 7 cm and height 24 cm.


A cylindrical tank has a radius of 10 cm and height 20 cm. Find the volume of the tank.



Areas of Trapezium, Parallelogram, and Triangle:


Find the area of a trapezium whose parallel sides are 10 cm and 15 cm, and the height is 6 cm.




5. Statistics and Probability


Statistics:


Find the mean of the data: .


Calculate the median for the following data: .



Probability:


A bag contains 5 red, 4 green, and 3 blue balls. What is the probability of drawing a green ball?




6. Linear Equations in Two Variables


Solve the system of equations:







Interpret the solutions of linear equations in two variables graphically.



7. Sequences and Series


Arithmetic Progression:


Find the 15th term of the AP whose first term is 2 and common difference is 5.


The sum of the first 20 terms of an AP is 220. Find the first term and common difference.


Read all topics 'methods and improve your studies 





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These topics should help you cover most of the important areas for your SSLC Maths exam

. Focus on understanding concepts, practicing a variety of problems, and reviewing previous year's papers.


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